We conduct a study to assess if there is the same variation in grades between engineering students andpsychology students, who are all graded on a scale of grades between 0 and 100. We sample 15 psychologystudents that have a standard deviation of 36 points in their grades. 15 engineering students are also sampled andhave a standard deviation of 19 points in their grade. We want to know if the population variations are different atthe 1% significance level. Determine the hypothesis then run the test using a critical value approach. Do not forgetto interpret your results.

Answered: Image /qna-images/answer/56f22a2a-d57a-4a4d-9d24-6b76f13b6fb8.jpg

Answered: We conduct a study to assess if there…

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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IQ tests are approximately normally distributed with a mean of 100 for adults. A tech company CEO wants to conduct a hypothesis test to see if the average IQ of employees at high-tech firms in California is higher than average. What is Type I error in the context of this problem?
40 people are randomly sent to walk one of four trails. The time (in minutes) they spend completing each trail is recorded in the table below. (a) Test to see if the times needed to complete a trail vary. Use a 0.05 significance level. (b) Test each pair (A/B, A/C, A/D, B/C, B/D, C/D) to see which trails have a statistically significant difference. Indicate your p-value for each comparison, and when the effect is statistically significant (use 0.05 as your significance level), declare which trail of the two takes more time to complete. Trail A - 30, 33, 41, 27, 36, 31, 37, 40, 29, 35 Trail B - 27, 33, 38, 41, 40, 38, 35, 44, 41, 39 Trail C - 25, 34, 41, 39, 32, 30, 36, 35, 27, 33 Trail D - 41, 39, 46, 37, 40, 42, 50, 42, 50, 33, 47, 43
An I/O psychologist wants to know if there is a difference in worker evaluations depending if the evaluator is a male or female. 15 men and 15 women managers were asked to rate on a scale of 0-10 the same group of worker files. The ratings on the worker evaluations were recorded for each manager. Which statistical test would be best to determine if there is a significant difference between groups? one-sample t-test dependent samples t-test independent samples t-test ANOVA
Gestation period is the length of pregnancy, or to be more precise, the interval between fertilization and birth. In Syrian hamsters, the average gestation period is 16 days. Suppose you have a sample of 31 Syrian hamsters who were exposed to high levels of the hormone progesterone when they were pups, and who have an average gestation length of 17.1 days and a sample variance of 26.0 days. You want to test the hypothesis that Syrian hamsters who were exposed to high levels of the hormone progesterone when they were pups have a different gestation length than all Syrian hamsters. Calculate the t statistic. To do this, you first need to calculate the estimated standard error. The estimated standard error is sMM= a. 31, b. 0.5232, c. 0.7328, d. 0.9158. The t statistic is- a. 1.50, b. 2.10, c. 2.63, d. 1.20 Now suppose you have a larger sample size n = 95. Calculate the estimated standard error and the t statistic for this sample with the same sample average and the same…
A different I/O psychologist wants to know if there is a difference in worker evaluations depending if the employee is a male or female. A group of managers were recruited and each rated both 15 men and 15 women employee evaluations on a scale of 0-10. The ratings on the worker evaluations were recorded for each manager. Which statistical test would be best to determine if there is a significant difference between groups? one-sample t-test dependent samples t-test ANOVA
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