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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 = 115Ha: 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 = 10Ha: u < 10
The P-Value of this test would be?
Your high school graduating class had 564 members. Thirty-three percent of these are expected to attend college. The probability that less than 160 will attend college is
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Construct a 95% confidence interval for the proportion of people disagreeing with the statement.
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The mean driving time is 35 minutes with a standard deviation is 10 minutes. What is the 98 percent confidence interval for the population mean?
An auditor for a Health Maintenance service of Georgia reports 40% of policyholder 55 years or older submit a claim during the year. Fifteen policyholders are randomly selected for company records.
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A manufacturer has a maximum of 240, 360, and 180 kilograms of wood, plastic and steel available. The company produces two products, A and B. Each unit of A requires 1, 3 and 2 kilograms of wood, plastic and steel respectively;
You are the manager of a fast food restaurant. You want to determine whether the population mean waiting time to place an order has changed in the past month from its previous population mean value of 4.5 minutes.
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