### Hypothesis Testing: Mean GPA of Night Students vs. Day Students#### Scenario:You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. In this study:- You sampled 35 night students with a sample mean GPA of 2.68 and a standard deviation of 0.75.- You sampled 55 day students with a sample mean GPA of 2.45 and a standard deviation of 0.49.- The test is conducted using a 5% level of significance.- Assume the population standard deviations are unequal and that GPAs are normally distributed.- Provide answers to at least 4 decimal places.#### Hypotheses:What are the correct hypotheses?- Null Hypothesis (H₀): Select an answer- Alternative Hypothesis (H₁): Select an answerBased on the hypotheses, find the following:#### Calculation of Test Statistic:Test Statistic = __________#### Determination of Critical Values:Critical Values = ± __________ (Just enter the positive C.V.)The correct decision is to: Select an answer#### Summary:The correct summary would be: Select an answer that the mean GPA of night students is different from the mean GPA of day students.

Mean()=5.68standard deviation(s1)=0.75sample size(n1)=35Mean()=2.45standard deviation(s2)=0.49sample…

Answered: You are testing the claim that the mean…

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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A simple random sample of 36 observations was taken from a large population. The sample mean and the standard deviation was determined to be 80 and 12 respectively. What is the standard error of the mean?
Beth scored 88 on a nutrition test. The class mean was 81 and the standard deviation was 3.2. What is Beth's T-score? Group of answer choices 47.8 71.9 22.4 Beth's T-score cannot be calculated. Not enough information is provided.
Use z scores to compare the given values. The tallest living man at one time had a height of 225 cm. The shortest living man at that time had a height of 104.3 cm. Heights of men at that time had a mean of 173.55 cm and a standard deviation of 5.15 cm. Which of these two men had the height that was more extreme? Since the z score for the tallest man is z= and the z score for the shortest man is z= the V man had the height that was more extreme. (Round to two decimal places.)
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You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. You sample 20 night students, and the sample mean GPA is 2.85 with a standard deviation of 0.86. You sample 30 day students, and the sample mean GPA is 3.02 with a standard deviation of 0.4. Test the claim using a 5% level of significance. Assume the population standard deviations are unequal and that GPAs are normally distributed. Give answer to at least 4 decimal places. What are the correct hypotheses?H0: = H1: Based on the hypotheses, find the following:Test Statistic = p− value = The correct decision is to The correct summary would be: that the mean GPA of night students is different from the mean GPA of day students.
Use z scores to compare the given values. The tallest living man at one time had a height of 238 cm. The shortest living man at that time had a height of 142.4 cm. Heights of men at that time had a mean of 175.45 cm and a standard deviation of 5.59 cm. Which of these two men had the height that was more extreme? ... Since the z score for the tallest man is z = 0 and the z score for the shortest man is z = the man had the height that was Im- more extreme. (Round to two decimal places.) shortest tallest
You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. You sample 20 night students, and the sample mean GPA is 2.94 with a standard deviation of 0.8. You sample 55 day students, and the sample mean GPA is 2.56 with a standard deviation of 0.44. Test the claim using a 1% level of significance. Assume the population standard deviations are unequal and that GPAs are normally distributed. What are the correct hypotheses? Based on the hypotheses, find the following:Test Statistic = Critical Values = ±
An environmental researcher took 30 water samples from different areas of a lake. He measured the pH level of each water sample. The standard deviation for the 30 pH levels was about 1.4.What is the best interpretation of the standard deviation? The pH level of a typical water sample was about 1.4 units from the mean on average. The difference between the minimum and maximum pH levels was about 1.4 units. The entire lake had a pH level that was about 1.4 units. The pH level of any given water sample was about 1.4 units from the mean. - this one is wrong
A newspaper article reports that the mean cost for preventative dental care per year is $175 with a standard deviation of $35 (assume that this is the population standard deviation). You want to test whether the mean cost for preventative dental care in your company is different from what was reported in the article. You take a random sample of 250 employees and find the mean cost is $171. Does this signficantly differ from what was reported in the article? Run the appropriate test at α=0.05. Give each of the following to receive full credit: 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value. You MUST show your work to receive full credit. Partial credit is available.
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Raul received a score of 79 on a history test for which the class mean was 70 with a standard deviation of 7. He received a score of 79 on a biology test for which the class mean was 70 with standard deviation 9. On which test did he do better relative to the rest of the class? A. biology test B. history test C. the same

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