Find the probability that the sample mean is less than 820 if a sample of size 93 is taken from a population with a mean of 1380 and a standard deviation of 337. O 0.0965687148111204 O 0.95171564259444 O 1 O 4.27058219942509e-58 O 0.0965687148111204 O 1.90343128518888 02

Find the probability that the sample mean is less than 820 if a sample of size 93 is taken from a population with a mean of 1380 and a standard deviation of 337. O 0.0965687148111204 O 0.95171564259444 O 1 O 4.27058219942509e-58 O 0.0965687148111204 O 1.90343128518888 02

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

Related questions

Q: A random sample of n = 25 observations is drawn from a population with mean 10 and standard…

A: Given, A random sample of n = 25 observations is drawn from a population with mean 10 and standard…

Q: Suppose lengths in inches, of adult corn snakes have unkown distribution with mean 62 and standard…

A: Given: Mean of the distribution, μ=62 & standard deviation of the distribution, σ=7…

Q: From a sample with n=32, the mean number of televisions per household is 4 with a standard deviation…

A: Chebyshev’s rule can be used for the large set data. It says that at least 1-1/k2 percentage of the…

Q: The mean cost of renting an apartment in a city is $2000 per month with a standard deviation of…

A: Denote X as the mean cost of renting an apartment in a city. It is given that X is distributed, with…

Q: The ages of a group of 135 randomly selected adult females have a standard deviation of 16.2 years.…

A: We have given that Standard deviation =sigma =16.2 Margin of error =E= 1.5 99% confidence.

Q: A consumer organization inspecting new cars found that many had appearance defects (dents,…

A: Obtain the expected number of appearance defects in a new car. The expected number of appearance…

Q: Suppose income in a population is distributed according to a normal distribution with mean 50000 and…

A: The z-score for a random variable X is, Z=X-μσwhere μ=population mean σ=population…

Q: Of the 300 visitors polled,O liked to ski or snowboard. (Type a whole number.)

Q: An unknown distribution has a mean of 45 and a standard deviation c Samples of size n = 30 are drawn…

A: X

Q: From a sample with n=20, the mean number of televisions per household is 4 with a standard…

A: Given n=20

Q: From a sample with n=16, the mean number of televisions per household is 4 with a standard…

A: Solution: Let X be the number of televisions per household. From the given information, n=16, σ=1…

Q: Suppose that 14 children, who were learning to ride two-wheel bikes, were surveyed to determine how…

A: We have to answer questions related to data statistics.

Q: The pages per book in a library have an unknown distribution with mean 319 and standard deviation 22…

A: Given, Pages per book have mean 319 and standard deviation 22. n=62

Q: The brain volumes (cm3) of 20 brains have a mean of 1139.4 cm3 and a standard deviation of 125.3…

A: The question is about range rule of thumbGiven :Mean brain volume of 20 brains ( ) = 1139.4 cm3Std.…

Q: sample is selected from a population with mean ? = 99 and standard deviation ? = 10. For which of…

A: According to the central limit theorem, if the sample size is sufficiently large, i.e., n =30 or…

Q: ppose x comes from a distribution where the mean is 151 and the standard deviation is 22. Suppose a…

A: Population mean =151Population standard deviation =22Sample size n =63

Q: The brain volumes (cm³) of 20 brains have a mean of 1115.7 cm and a standard deviation of 124.1 cm³.…

Q: Body temperatures of adults are normally distributed with a mean of 98.60◦ F and a standard…

A: Given that body temperatures of adults are normally distributed with a mean of 98.60◦ F and a…

Q: Suppose a simple random sample of size n=81 is obtained from a population with a mean of 88 and a…

A: Given sample of size n=81 mean=88 standard deviation =27.

Q: The probability that a randomly selected piece of the plastic will have a lifetime less than 8.996…

A: Let X denotes the lifetime of a certain biodegradable plastic. Given that X follows N(mean = 9.5, SD…

Q: If a normal has a mean of 33.7 and a standard deviation of 10.5, what is the value of the random…

Q: Suppose that among the population of smartphone owners with 16GB of storage, the mean amount of…

A: From the provided information, Mean (µ) = 13 GB Standard deviation (σ) = 3 GB

Q: A study of Sandhill Cranes determines that the distance they travel a day is normally distributed…

A: According to the provided information, Mean (μ) = 267 Standard Deviation (σ) = 86

Q: Assume that the number of days from conception to birth is normally distributed with a mean of 273…

A: Given data normal distributionμ = 273 daysσ = 5 daysP(x>301 days) = ?

Q: Using the Central Limit Theorem for Means, what is the standard deviation for the sample mean…

A: Let Xn be a sequence of random variables . Then define , X¯ as the mean . X¯ = X1+X2+.....+Xnn , n…

Q: Suppose pages per book in a library have an unknown distribution with mean 297 and standard…

A: According to the given information in this question We need to find mean for the sample sum…

Q: The brain volumes (cm3) of 20 brains have a mean of 1143.3 cm3 and a standard deviation of 129.9…

A: Introduction: It is required to find the limits separating the significantly lower and higher…

Q: K Scores on a standardized intelligence test are normally distributed with a mean of 100 and a…

Q: (a) Var(X + Y ) = Var(X)+ Var(Y) (b) Ε(XY) - (EX) (EYΥ) (c) E(X + Y ) = EX+ EY

A: Since we answer up to three subparts of a problem, we'll be answering the first three sub parts…

Q: Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the…

A: GivenMean(μ)=151000 standard deviation(σ)=35000sample size(n)=77

Q: A consumer organization inspecting new cars found that many had appearance defects (dents,…

A: Assume that X is a random variable defined as the number of defects that appear on the new car.…

Q: Last year, a person wrote 131 checks. Let the random variable x represent the number of checks he…

A: Given : x = 131/365 = 0.359 x follows Poisson distribution with λ = 0.359

Question

Find the probability that the sample mean is less than 820 if a sample of size 93 is taken from a population with a mean of 1380 and a standard deviation of 337.
O 0.0965687148111204
O 0.95171564259444
O 1
O 4.27058219942509e-58
O 0.0965687148111204
1.90343128518888
O 2

Expert Solution

Step 1: Given Information

The population mean is $mu equals 1380$ .
The population standard deviation is $sigma equals 337$ .
The sample size is $n equals 93$ .
The objective is to determine the probability that sample mean is less than 820.

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 7 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean μ=272 days and standard deviation σ=19 days. What is the probability that a random sample of 51 pregnancies has a mean gestation period of 265 days or less?
The fresh egg weight of a randomly selected egg of a Gadwall Duck is a random variable with a mean of 43.1 grams and standard deviation of 1.9 grams. Suppose 599 fresh Gadwall Duck eggs are randomly selected and weighed. Compute the probability that the mean of the 599 egg weights is within 0.1 grams of the mean. The fresh egg weight of a randomly selected egg of a Gadwall Duck is a random variable with a mean of 43.1 grams and standard deviation of 1.9 grams. Suppose 599 fresh Gadwall Duck eggs are randomly selected and weighed. Compute the probability that the mean of the 599 egg weights is within 0.1 grams of the mean.
An unknown distribution has a mean of 80 and a standard deviation of 12. A sample size of 95 is drawn randomly from the population. Find P (∑X > 7,650).
Suppose samples of size 100 are drawn randomly from a normal population that has a mean of 20 and a standard deviation of 5. What is the probability of observing a sample mean less than 19? 0.4772 0.3413 0.9772 0.0228 0.0580
A mean undergraduate cost for tuition , fees , room , and board for four-year institutions was 26,489 for a recent academic year. Suppose that the population standard deviation equals 3, 204 and 36 four year institutions are randomly selected .find the probability that the sample mean cost for these 36 schools is between 24,000 and 26, 000.find the corresponding area for the z values.
A random sample of 28 MBAs working in New York revealed that their mean annual salary was $123,000. Suppose that the population standard deviation σ is $22,000 but that the population mean µ is unknown. What is the point estimate (i.e. the "best guess") of the mean salary µ of all MBAs in this city?
Suppose a certain population of observations follows a bell-shaped distribution. Based on the 68/95/99.7 rule, what percentage of the data in the population are between three standard deviations below the mean and one standard deviation above the mean?
The length of time on the SAT exam for a group of students is normally distributed with a mean of 2.5 hours and a standard deviation of 0.25 hours. A sample size of n= 60 is drawn randomly from the population. Find the probability that the sample mean is between two hours and three hours.
A dishwasher has a mean lifetime of 12 years with an estimated standard deviation of 1.25 years. The lifetime of a dishwasher is normally distributed. Suppose you are a manufacturer and you take a sample of 15 dishwashers that you made. Find probability that the sample mean lifetime of the 15 randomly selected dishwashers is less than 12.6 (4 decimals) find the probability that the sample mean lifetime of the 15 randomly selected dishwashers is less than 11.4 years thank u for the help
Suppose that heights of 10-year-old boys in the US vary according to a normal distribution with mean of 138 cm and standard deviation of 7. What is the probability that the height of a randomly selected boy is greater than 145 cm?0.1357 0.1151 0.1841 0.1587
Assume all populations are normally distributed. A travel analyst claims that the mean price of a round trip flight from New York City to Los Angeles is less than $507. In a random sample of 55 round trip flights from NYC to LA, the mean price is $502. Assume the population standard deviation is $111. At α = 0.05, is there enough evidence to support the travel analyst’s claim?
Suppose that a distribution of 300 items has mean 120 and standard deviation 4. Find the z-score of the item x = 126. Z= (Type an integer or decimal rounded to the nearest tenth as needed.)