Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with meanμ=203 daysand standard deviationσ=19 days.Complete parts (a) through (f) below.(a) What is the probability that a randomly selected pregnancy lasts less than196days? The probability that a randomly selected pregnancy lasts less than196days is approximatelynothing.(Round to four decimal places as needed.)Interpret this probability. Select the correct choice below and fill in the answer box within your choice.(Round to the nearest integer as needed.) A.If 100 pregnant individuals were selected independently from this population, we would expectnothingpregnancies to last more than196days. B.If 100 pregnant individuals were selected independently from this population, we would expectnothingpregnancies to last less than196days. C.If 100 pregnant individuals were selected independently from this population, we would expectnothingpregnancies to last exactly196days.(b) Suppose a random sample of21pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution ofxis▼ normalskewed leftskewed rightwithμx=nothingandσx=nothing.(Round to four decimal places as needed.)(c) What is the probability that a random sample of21pregnancies has a mean gestation period of196days or less? The probability that the mean of a random sample of21pregnancies is less than196days is approximatelynothing.(Round to four decimal places as needed.)Interpret this probability. Select the correct choice below and fill in the answer box within your choice.(Round to the nearest integer as needed.) A.If 100 independent random samples of sizen=21pregnancies were obtained from this population, we would expectnothingsample(s) to have a sample mean of196days or less. B.If 100 independent random samples of sizen=21pregnancies were obtained from this population, we would expectnothingsample(s) to have a sample mean of exactly196days. C.If 100 independent random samples of sizen=21pregnancies were obtained from this population, we would expectnothingsample(s) to have a sample mean of196days or more.(d) What is the probability that a random sample of48pregnancies has a mean gestation period of196days or less? The probability that the mean of a random sample of48pregnancies is less than196days is approximatelynothing.(Round to four decimal places as needed.)Interpret this probability. Select the correct choice below and fill in the answer box within your choice.(Round to the nearest integer as needed.) A.If 100 independent random samples of sizen=48pregnancies were obtained from this population, we would expectnothingsample(s) to have a sample mean of exactly196days. B.If 100 independent random samples of sizen=48pregnancies were obtained from this population, we would expectnothingsample(s) to have a sample mean of196days or less. C.If 100 independent random samples of sizen=48pregnancies were obtained from this population, we would expectnothingsample(s) to have a sample mean of196days or more.(e) What might you conclude if a random sample of48pregnancies resulted in a mean gestation period of196days or less? This result would be▼ unusual,expected,so the sample likely came from a population whose mean gestation period is▼ greater thanless thanequal to203days.(f) What is the probability a random sample of size15will have a mean gestation period within8days of the mean? The probability that a random sample of size15will have a mean gestation period within8days of the mean isnothing.(Round to four decimal places as needed.) Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean u = 203 days and standard deviation o = 19 days. Complete parts (a) through (f) below.O A. If 100 independent random samples of sizen=21 pregnancies were obtained from this population, we would expectsample(s) to have a sample mean of 196 days or less.O B. If 100 independent random samples of size n= 21 pregnancies were obtained from this population, we would expectsample(s) to have a sample mean of exactly 196 days.O C. If 100 independent random samples of sizen= 21 pregnancies were obtained from this population, we would expectsample(s) to have a sample mean of 196 days or more.(d) What is the probability that a random sample of 48 pregnancies has a mean gestation period of 196 days or less?The probability that the mean of a random sample of 48 pregnancies is less than 196 days is approximately(Round to four decimal places as needed.)Interpret this probability. Select the correct choice below and fill in the answer box within your choice.(Round to the nearest integer as needed.)O A. If 100 independent random samples of size n= 48 pregnancies were obtained from this popula.on, we would expectsample(s) to have a sample mean of exactly 196 days.O B. If 100 independent random samplessize n=48 pregnancies were obtained from this population, we would expectsample(s) to have a sample mean of 196 days or less.O C. If 100 independent random samples of size n= 48 pregnancies were obtained from this population, we would expectsample(s) to have a sample mean of 196 days or more.(e) What might you conclude if a random sample of 48 pregnancies resulted in a mean gestation period of 196 days or less?This result would beso the sample likely came from a population whose mean gestation period isV 203 days.(f) What is the probability a random sample of size 15 will havemean gestation period within 8 days of the mean?The probability that a random sample of size 15 will have a mean gestation period within 8 days of the mean is(Round to four decimal places as needed.) Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean u= 203 days and standard deviation o = 19 days. Complete parts (a) through (f) below.(a) What is the probability that a randomly selected pregnancy lasts less than 196 days?The probability that a randomly selected pregnancy lasts less than 196 days is approximately U (Round to four decimal places as needed.)Interpret this probability. Select the correct choice below and fill in the answer box within your choice.(Round to the nearest integer as needed.)O A. If 100 pregnant individuals were selected independently from this population, we would expectpregnancies to last more than 196 days.O B. If 100 pregnant individuals were selected independently from this population, we would expectpregnancies to last less than 196 days,O C. If 100 pregnant individuals were selected independently from this population, we would expectpregnancies to last exactly 196 days.(b) Suppose a random sample of 21 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies.The sampling distribution of x iswith H =D and o; =(Round to four decimal places as needed.)(c) What is the probability that a random sample of 21 pregnancies has a mean gestation period of 196 days or less?The probability that the mean of a random sample of 21 pregnancies is less than 196 days is approximately(Round to four decimal places as needed.)Interpret this probability. Select the correct choice below and fill in the answer box within your choice.(Round to the nearest integer as needed.)O A. If 100 independent random samples of size n= 21 pregnancies were obtained from this population, we would expectsample(s) to have a sample mean of 196 days or less.O B. If 100 indenendent random samnles of size n= 21 nreanancies were ohtained from this nnnulation we would expect samnlels) to have a samnle mean of exactlv 196 daVS

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Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean μ=203 days and standard deviation σ=19 days. Complete parts (a) through (f) below. (a) What is the probability that a randomly selected pregnancy lasts less than 196 days? The probability that a randomly selected pregnancy lasts less than 196 days is approximately nothing. (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. (Round to the nearest integer as needed.) A. If 100 pregnant individuals were selected independently from this population, we would expect nothing pregnancies to last more than 196 days. B. If 100 pregnant individuals were selected independently from this population, we would expect nothing pregnancies to last less than 196 days. C. If 100 pregnant individuals were selected independently from this population, we would expect nothing pregnancies to last exactly 196 days. (b) Suppose a random sample of 21 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of x is ▼ normal skewed left skewed right with μx=nothing and σx=nothing. (Round to four decimal places as needed.) (c) What is the probability that a random sample of 21 pregnancies has a mean gestation period of 196 days or less? The probability that the mean of a random sample of 21 pregnancies is less than 196 days is approximately nothing. (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. (Round to the nearest integer as needed.) A. If 100 independent random samples of size n=21 pregnancies were obtained from this population, we would expect nothing sample(s) to have a sample mean of 196 days or less. B. If 100 independent random samples of size n=21 pregnancies were obtained from this population, we would expect nothing sample(s) to have a sample mean of exactly 196 days. C. If 100 independent random samples of size n=21 pregnancies were obtained from this population, we would expect nothing sample(s) to have a sample mean of 196 days or more. (d) What is the probability that a random sample of 48 pregnancies has a mean gestation period of 196 days or less? The probability that the mean of a random sample of 48 pregnancies is less than

Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean μ=203 days and standard deviation σ=19 days. Complete parts (a) through (f) below. (a) What is the probability that a randomly selected pregnancy lasts less than 196 days? The probability that a randomly selected pregnancy lasts less than 196 days is approximately nothing. (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. (Round to the nearest integer as needed.) A. If 100 pregnant individuals were selected independently from this population, we would expect nothing pregnancies to last more than 196 days. B. If 100 pregnant individuals were selected independently from this population, we would expect nothing pregnancies to last less than 196 days. C. If 100 pregnant individuals were selected independently from this population, we would expect nothing pregnancies to last exactly 196 days. (b) Suppose a random sample of 21 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of x is ▼ normal skewed left skewed right with μx=nothing and σx=nothing. (Round to four decimal places as needed.) (c) What is the probability that a random sample of 21 pregnancies has a mean gestation period of 196 days or less? The probability that the mean of a random sample of 21 pregnancies is less than 196 days is approximately nothing. (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. (Round to the nearest integer as needed.) A. If 100 independent random samples of size n=21 pregnancies were obtained from this population, we would expect nothing sample(s) to have a sample mean of 196 days or less. B. If 100 independent random samples of size n=21 pregnancies were obtained from this population, we would expect nothing sample(s) to have a sample mean of exactly 196 days. C. If 100 independent random samples of size n=21 pregnancies were obtained from this population, we would expect nothing sample(s) to have a sample mean of 196 days or more. (d) What is the probability that a random sample of 48 pregnancies has a mean gestation period of 196 days or less? The probability that the mean of a random sample of 48 pregnancies is less than

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Question

Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean

μ=203 days

and standard deviation

σ=19 days.

Complete parts (a) through (f) below.

(a) What is the probability that a randomly selected pregnancy lasts less than

196

days?

The probability that a randomly selected pregnancy lasts less than

196

days is approximately

nothing.

(Round to four decimal places as needed.)

Interpret this probability. Select the correct choice below and fill in the answer box within your choice.

(Round to the nearest integer as needed.)

If 100 pregnant individuals were selected independently from this population, we would expect

nothing

pregnancies to last more than

196

days.

If 100 pregnant individuals were selected independently from this population, we would expect

nothing

pregnancies to last less than

196

days.

If 100 pregnant individuals were selected independently from this population, we would expect

nothing

pregnancies to last exactly

196

days.

(b) Suppose a random sample of

pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies.

The sampling distribution of

▼

normal

skewed left

skewed right

with

μx=nothing

and

σx=nothing.

(Round to four decimal places as needed.)

pregnancies has a mean gestation period of

196

days or less?

The probability that the mean of a random sample of

pregnancies is less than

196

days is approximately

nothing.

(Round to four decimal places as needed.)

Interpret this probability. Select the correct choice below and fill in the answer box within your choice.

(Round to the nearest integer as needed.)

If 100 independent random samples of size

n=21

pregnancies were obtained from this population, we would expect

nothing

sample(s) to have a sample mean of

196

days or less.

If 100 independent random samples of size

n=21

pregnancies were obtained from this population, we would expect

nothing

sample(s) to have a sample mean of exactly

196

days.

If 100 independent random samples of size

n=21

pregnancies were obtained from this population, we would expect

nothing

sample(s) to have a sample mean of

196

days or more.

(d) What is the probability that a random sample of

pregnancies has a mean gestation period of

196

days or less?

The probability that the mean of a random sample of

pregnancies is less than

196

days is approximately

nothing.

(Round to four decimal places as needed.)

Interpret this probability. Select the correct choice below and fill in the answer box within your choice.

(Round to the nearest integer as needed.)

If 100 independent random samples of size

n=48

pregnancies were obtained from this population, we would expect

nothing

sample(s) to have a sample mean of exactly

196

days.

If 100 independent random samples of size

n=48

pregnancies were obtained from this population, we would expect

nothing

sample(s) to have a sample mean of

196

days or less.

If 100 independent random samples of size

n=48

pregnancies were obtained from this population, we would expect

nothing

sample(s) to have a sample mean of

196

days or more.

(e) What might you conclude if a random sample of

pregnancies resulted in a mean gestation period of

196

days or less?

This result would be

▼

unusual,

expected,

so the sample likely came from a population whose mean gestation period is

▼

greater than

less than

equal to

203

days.

(f) What is the probability a random sample of size

will have a mean gestation period within

days of the mean?

The probability that a random sample of size

will have a mean gestation period within

days of the mean is

nothing.

(Round to four decimal places as needed.)

Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean u = 203 days and standard deviation o = 19 days. Complete parts (a) through (f) below.
O A. If 100 independent random samples of sizen=21 pregnancies were obtained from this population, we would expect
sample(s) to have a sample mean of 196 days or less.
O B. If 100 independent random samples of size n= 21 pregnancies were obtained from this population, we would expect
sample(s) to have a sample mean of exactly 196 days.
O C. If 100 independent random samples of sizen= 21 pregnancies were obtained from this population, we would expect
sample(s) to have a sample mean of 196 days or more.
(d) What is the probability that a random sample of 48 pregnancies has a mean gestation period of 196 days or less?
The probability that the mean of a random sample of 48 pregnancies is less than 196 days is approximately
(Round to four decimal places as needed.)
Interpret this probability. Select the correct choice below and fill in the answer box within your choice.
(Round to the nearest integer as needed.)
O A. If 100 independent random samples of size n= 48 pregnancies were obtained from this popula.on, we would expect
sample(s) to have a sample mean of exactly 196 days.
O B. If 100 independent random samples
size n=48 pregnancies were obtained from this population, we would expect
sample(s) to have a sample mean of 196 days or less.
O C. If 100 independent random samples of size n= 48 pregnancies were obtained from this population, we would expect
sample(s) to have a sample mean of 196 days or more.
(e) What might you conclude if a random sample of 48 pregnancies resulted in a mean gestation period of 196 days or less?
This result would be
so the sample likely came from a population whose mean gestation period is
V 203 days.
(f) What is the probability a random sample of size 15 will have
mean gestation period within 8 days of the mean?
The probability that a random sample of size 15 will have a mean gestation period within 8 days of the mean is
(Round to four decimal places as needed.)

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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