Test Prep. A GRE prep company claims that average score improvement of their students is equal to 50points. We randomly sample 40 students of their average improvement is 47 points with a standarddeviation of 37 points. Evaluate the company's claim using a hypothesis test. Use a 5% level of significance.(a) Write the hypotheses for the test:OHo: H = 50Hạ: p < 50O H.: H = 47Hạ: p< 47O H:: µ = 50Hạ: p = 50OH,: µ = 47Hạ: p > 47%3DO H,: µ = 50Ha: p > 50%3DOHo: H = 47Ha: p = 47(b) Compute the p-value for the test:p =|(round to three sig figs)(c) What is the final conclusion?O There is not sufficient evidence to reject the company's claim.O There is sufficient evidence to support the company's claim.O There is not sufficient evidence to support the company's claim.O There is sufficient evidence to reject the company's claim.Question Help: M Message instructor D Post to forumSubmit All PartsJump to Answer

We have given that Sample size n =40 Sample mean = 47 Standard deviation = 37

Answered: Test Prep. A GRE prep company clainms…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Two species of fish have similar phenotypes to each other, researchers wonder if they can classify these fish species based on their sizes. One species has mean size of 10cm, with standard deviation of 1. The other species has mean size of 12cm, with standard deviation of 2. Size of 15 fish from each species were measured. a. Which hypothesis testing method can be used to compare the mean size of the two populations? Perform the test for a = 0.01. How does result of this test help the researchers to decide if they can classify these fish species based on their sizes? b. What is the power of the test? How does power of the test help the researchers to decide if they can classify these fish species based on their sizes?
Conduct a full hypothesis testing on the following problem and then choose among the options what best fits the items being asked: Average heart rate for Filipinos is 91 beats/minute with a population standard deviation of 8.7 beats/minute. A group of 24 individuals participated in an aerobics fitness program to lower their heart rate. After six months the group was evaluated to identify if the program had significantly slowed their heart. The mean heart rate for the group was 88 beats/minute. Was the aerobics program effective in lowering heart rate at 5% significance level? Note: Round off the test statistic to 3 decimal places. If two-tailed test is to be applied, the given critical values as options are considered the absolute values. Identify the following: - Alternative Hypothesis: [Select] • Critical Value: [Select] - Test Statistic: [ Select] • Conclusion: [ Select]
Contrary to popular opinion, a psychologist claims that the mean IQ score of math instructors is more than 100. She surveyed 25 of them and found their mean at 120 with a standard deviation of 30. Which significance level will reject the null hypothesis completely? A a> 0.14% B a <0.14% a ≥ 0.14% a ≤ 0.14% D
You are a manager of a building that hosts the local farmers market for a town. You want to investigate if the average amount of sales for a vendor per week at your building is greater than $2040. After surveying 17 of their vendors, you find that mean sales per week of the vendors sampled was $2110 with a standard deviation of $114.03. What is the value of the test statistic for your hypothesis test? Note: 1- Only round your final answer. Round your final answer to two decimal places.
A powder diet is tested on 49 people and a liquid diet is tested on 36 different people. Of interest is whether the liquid diet yields a higher average weight loss than the powder diet. The powder diet group had an average weight loss of 42 pounds with a standard deviation of 12 pounds. The liquid diet group had an average weight loss of 45 pounds with a standard deviation of 14 pounds. Conduct a hypothesis test at the 5% level. NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) What is the test statistic? (Round your answer to two decimal places.)
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The cost of a car is $30k at Joe's Garage. You cant to see if the cost is lower at Pete's Garage. To test, you collect data from 64 buyers who recently bought cars. The average of your sample is $29,760, with a sample standard deviation of $7,450. Using this data to perform the hypothesis test with H0: u=30,000 vs H0:u<30,000, what is the p-value of this test, and what is the conclusion of this test at the a=.05 level?
Use five-step hypothesis testing for each of the following problems. Number each of the five steps. You may use the traditional method or the p-value method. 1) Science fiction novels average 250 pages in length. The average length of 8 randomly chosen novels written by I. M. Wordy was 265 pages in length with a standard deviation of 35. At are Wordy's novels significantly longer than the average science fiction novel? Use five-step hypothesis testing. 2) The average monthly cell phone bill was reported to be $50.07 by the U.S. Wireless Industry. Random Sampling of a large cell phone company found the following monthly cell phone charges (in dollars): At the 0.01 level of significance, can it be concluded that the average phone bill has…
You are a manager of a building that hosts the local farmers market for a town. You want to investigate if the average amount of sales for a vendor per week at your building is greater than $2050. After surveying 18 of their vendors, you find that mean sales per week of the vendors sampled was $2100 with a standard deviation of $101.08. What is the value of the test statistic for your hypothesis test? Note: 1- Only round your final answer. Round your final answer to two decimal places.
Identify the IV and the scale of measurement; Identify the DV and the scale of measurement and for the IV – identify the number of levels; Identify null and alternative hypotheses, are they directional or non-directional? Assume that the distributions of the populations are approximately normal.
A school psychologist was interested in whether students in the chess club scored above or below the mean grade point average (GPA) at her school. She calculated the overall average GPA at the school to be 2.55 with a standard deviation of 0.5 and noted that the distribution was approximately normal. She then figured the average for the 30 students in the chess club. Their mean GPA was 2.76. a. Using the five steps of hypothesis testing, was the group of 30 chess club students' GPA different from students in general at this school? (Use the .05 significance level.) Be sure to sketch the distributions involved. Be sure to fully state the five steps and show ALL calculations/work. b. Additionally, explain the logic of what you did to a person who understands hypothesis testing for studies in which the sample consists of a single individual but is unfamiliar with hypothesis testing involving a sample of more than one individual. (Be sure your explanation includes a discussion of the…
The mean number of eggs per person eaten in the United States is 242. Do college students eat more eggs than the average American? The 57 college students surveyed averaged 252 eggs per person and their standard deviation was 26.2. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: H₁: Select an answer Select an answer c. The test statistic ? ✓ d. The p-value = e. The p-value is ? ✓ a f. Based on this, we should g. Thus, the final conclusion is that ... (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) Select an answer the null hypothesis. O The data suggest that the sample mean is not significantly more than 242 at a = 0.01, so there is statistically insignificant evidence to conclude that the sample mean number of eggs consumed by college students per year is more than 252. The data suggest that the populaton mean is…

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