We want to conduct a hypothesis test of the claim that the population mean score on a nationwide examination in anthropology is different from 512. So, wechoose a random sample of exam scores. The sample has a mean of 491 and a standard deviation of 76.For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic.Round your answers to two decimal places.(a) The sample has size 11, and it is from a normally distributed population with a known standard deviation of 77.o z = 0ot=0O It is unclear which test statistic to use.(b) The sample has size 20, and it is from a normally distributed population with an unknown standard deviation.O z=0o t=0OO It is unclear which test statistic to use.X3

We have given that a) n=11 b) n=20

Answered: We want to conduct a hypothesis test of…

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...

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Tina catches a 14-pound bass. She does not know the population mean or standard deviation. So she takes a sample of five friends and they say the last bass they caught was 9, 12, 13, 10, and 10 pounds. Find the t and calculate a 95% (α = .05) confidence interval.
For the following dataset, you are interested to determine the "spread" of the data. Would you employ calculations for the sample standard deviation, or population standard deviation for this dataset: The weight of each apple in a shipment of 1000 apples.
Can you assist me in answering this? (this is not graded but, rather, an excersice conducive to acquisition).
In the past, the mean age of consumers of a product was 38 years. Recently the product has been drastically changed. In order to determine whether there has been a change in the mean age of the product consumers, a sample of 16 consumers is selected. The mean age in the sample is 33 years and the standard deviation in the sample is 10 years. Let u = the mean age of the current product (Problem Set #7) consumers. The value of the test statistic is Oa. -2.00 O b.-1.60 OC .0.8 O d. 4.21
Professor Nord stated that the mean score on the final exam from all the years he has been teaching is a 79%. Colby was in his most recent class, and his class’s mean score on the final exam was 82%. Colby decided to run a hypothesis test to determine if the mean score of his class was significantly greater than the mean score of the population. α = .01. What is the mean score of the population? What is the mean score of the sample? Is this test one-tailed or two-tailed? Why?
You want to know about the mean price of gas per gallon in all gas stations in Indiana. You are going to select 30 random gas stations from Indiana to estimate it. From now on, suppose that you do not know the population standard deviation. Therefore, you instead calculated the sample standard deviation, and it was $0.85. What is the margin of error for a 95% confidence interval for the population mean price of gas per gallon? Using the sample standard deviation value from Question 19 ($0.85), what is the 95% confidence interval if the sample mean price is $3.15? Do you think that the confidence interval will change if you knew that there are 1200 number of gas stations in total in Indiana? What is the reason?
For the following situation, find the mean and standard deviation of the population. List all samples (with replacement) of the given size from that population and find the mean of each. Find the mean and standard deviation of the sampling distribution and compare them with the mean and standard deviation of the population. The scores of three students in a study group on a test are 94, 93, 97. Use a sample size of 3. The mean of the population is (Round to two decimal places as needed.) C
You would like to construct a 95% confidence interval to estimate the population mean score on a nationwide examination in psychology, and for this purpose we choose a random sample of exam scores. The sample we choose has a mean of 511 and a standard deviation of 71. (a) What is the best point estimate, based on the sample, to use for the population mean? X ? (b) For each of the following sampling scenarios, determine which distribution should be used to calculate the critical value for the 95% confidence interval for the population mean. (In the table, Z refers to a standard normal distribution, and t refers to a t distribution.)
A Moving to another question will save this response. Question 1 Consider a sample with a mean of 30 and a standard deviation of 2.5. Use Chebyshev's theorem to determine the percentage of the data within the ranges from 23 to 37. O a. 61% O b. 75% O c. 87% Od. 83%
Solve question #9 for part D only.
The question is complete, find part a-e on the images and part f on text below

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