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Question 1:

The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures the motivation, attitude, and study habits of college students. Scores range from 0 to 200 and follow (approximately) a normal distribution with mean 115 and standard deviation 25. You suspect that incoming freshmen have a mean u which is different from 115 because they are often excited yet anxious about entering college. To test your suspicion, you test the hypothesis

H0: u = 115
Ha: u not equal 115

You give the SSHA to 25 students who are incoming freshmen and find their mean score is 116.2. Assuming that the scores of all incoming freshmen are approximately normal with the same standard deviation as the scores of all college students, the P-value of your test would be?

Question 2:

The level of calcium in the blood of health young adults follows a normal distribution with mean u = 10 milligrams per deciliter and standard deviation 0.4. A clinic measures the blood calcium of 25 health pregnant young women at their first visit for prenatal care. The mean of these 25 measurements is xbar = 9.6. Is this evidence that the mean calcium level in the population from which these women come is less than 10? To answer this, test the hypothesis:

H0: u = 10
Ha: u < 10

The P-Value of this test would be?

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Solution Summary

This solution provides a detailed explanation of how to measure motivation, attitudes, and study habits of college students.

Solution provided by:
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
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