2. Suppose that the weights of adult males have a mean of 65 kilograms and astandard deviation of 20 kilograms. Suppose that the distribution of weights isnot normal.a. Assuming that a sample size of n-16 is big enough for the Central LimitTheorem to apply. Find the probability that a random sample of 16 malesfrom this population will have a mean weight that exceeds 75 kilogramsb. Determine the range of weights where the middle 90% of the average weightof a random sample size 16 will lie.

GivenMean(μ)=65standard deviation(σ)=20sample size(n)=16

Answered: 2. Suppose that the weights of adult…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Suppose that the number of points scored in a game comes from a normal population with an average of 12 points and a standard deviation of 9 points. Estimate the chance that the average points scored in ten randomly selected games will exceed 14.2 points. A. 0.4034 B. 0.0073 C. 0.2198 D. 0.2297
Suppose a professor uses a normal distribution to assign grades in her math class. • She assigns an A to students scoring more than 1.9 standard deviations above the mean. • She assigns an F to students scoring more than 2.2 standard deviations below the mean. She assigns a B to students who Score between 1 and 1.9 standard deviations above the mean. • She assigns a D to students who Score between 1.2 and 2.2 standard deviations below the mean. • All other students get a C. Use the Cumulative Z-Score Table to answer the following questions. The Z-Score Table can be found below by selecting "Read". Write your answer as a percent using 2 decimal places. What percent of the class receives each grade assuming the scores are normally distributed? Hint % will recieve an A % will recieve a B % will recieve a C % will recieve a D % will recieve an F
An elevator has a placard stating that the maximum capacity is 3600 lb-25 passengers. So, 25 adult male passengers can have a mean weight of up to 3600/25= 144 pounds. Assume that weights of males are normally distributed with a mean of 178 lb and a standard deviation of 26 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 144 lb. b. Find the probability that a sample of 25 randomly selected adult males has a mean weight greater than 144 lb. c. What do you conclude about the safety of this elevator? a. The probability that 1 randomly selected adult male has a weight greater than 144 lb is (Round to four decimal places as needed.)
An elevator has a placard stating that the maximum capacity is 4400 lb-29 passengers. So, 29 adult male passengers can have a mean weight of up to 4400/29 = 152 pounds. Assume that weights of males are normally distributed with a mean of 180 lb and a standard deviation of 29 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 152 lb. b. Find the probability that a sample of 29 randomly selected adult males has a mean weight greater than 152 lb. c. What do you conclude about the safety of this elevator? a. The probability that 1 randomly selected adult male has a weight greater than 152 lb is ☐ (Round to four decimal places as needed.)
An elevator has a placard stating that the maximum capacity is 4300 lb-28 passengers. So, 28 adult male passengers can have a mean weight of up to 4300/28 = 154 pounds. Assume that weights of males are normally distributed with a mean of 177 lb and a standard deviation of 36 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 154 lb. b. Find the ability that a sample of 28 randomly selected adult males has a mean weight greater than 154 lb. Question Viewer c. What about the safety of this elevator? you a. The probability that 1 randomly selected adult male has a weight greater than 154 lb is (Round to four decimal places as needed.)
Suppose that the distribution of the grades of students in MAPEH performance 1 is roughly normally distributed with a mean of 85 and a standard deviation of 5 a. Between what values do we expect the grades of the middle 68% of the MAPEH students in performance 1 lie? b. Suppose you randomly select 16 MAPEH students, find the probability that the average grades of these students is at least 86. c. A MAPEH student whose grades lies in the upper 1% of the distribution (inclusive of the 1% cutoff) is considered extremely performing in Performance 1. Can you say that Jazzer, a randomly selected student who obtained a grade of 95, is one of those who performed extremely in Performance 1?
4. Suppose that 60% of college students own a smart phone manufactured by Apple. If a random sample of 200 college students is selected, use the normal distribution to approximate the probability that the number of students in the sample owning a smartphone made by Apple will be less than 105. Is it reasonable to use the normal approximation here?
An elevator has a placard stating that the maximum capacity is 3800 lb—26 passengers. So, 26 adult male passengers can have a mean weight of up to 3800/26=146 pounds. Assume that weights of males are normally distributed with a mean of 185 lb and a standard deviation of 39 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 146 lb. b. Find the probability that a sample of 26 randomly selected adult males has a mean weight greater than 146 lb. c. What do you conclude about the safety of this elevator?
3. Let X be the mean of a random sample of n = 25 from the distribution with a mean of 30 and a variance of 9. Find an approximated probability that the sample mean is between 29.8 and 30.6.
3. The taxi and takeoff time for commercial jets is a random variable x with a mean of 8 minutes and a standard deviation of 3 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. a). Find the probability that for 36 jets the average taxi and takeoff time is less than 8.33 minutes per plane. b). Find the probability that for 36 jets the average taxi and takeoff times is more than 8.55 minutes.
Let X represent the full height of a certain species of tree. Assume that X has a normal distribution with a mean of 115.4 ft and a standard deviation of 8.2 ft. A tree of this type grows in my backyard, and it stands 103.9 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter. My neighbor also has a tree of this type growing in her backyard, but hers stands 119.5 feet tall. Find the nrobability that the ful height of a randomly selected tree is at least as tall as hers. Enter your answers as decimals accurate to 4 decimal places.

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS