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There has been considerable discussion in the medical literature in recent years on the role of diet in the development of heart disease. The serum-cholesterol levels of a group of people who eat a primarily macrobiotic diet are measured. Among 24 of them, ages 20-39, the mean cholesterol level was found to he [TE mgtd, with a standard deviation of 35 mgtdL. Use these data to answer the questions below.
a. If the mean cholesterol level in the general population in this age group is 23f] mgtdL, and the distribution is assumed to be normal, then test the hypothesis that the group of people on a macrobiotic diet have cholesterol levels different from those of the general population. Use the critical-value method (i.e., the Neyman Er Pearson approach, pg. 51 of your textbook) to test the hypothesis. Assume rt=D.i'.I5. Show all your calculations.
b. Compute the 95% confidence interval for the true mean cholesterol level in this group. Show all calculations.
c. What is the p-value for the test statistic you calculated in question a? How does the p-value approach (i.e., the Fisher approach, page 55 of your textbook) relate to the critical value approach you used in question a?
A polling company wants to know how many people over the age of 18 in the United States are unemployed. They take a simple random sample of 500 from the United States to find the percentage.
Temperature is used to measure the output of a production process. When the process is in control, the mean of the process is µ = 128.5 and the standard deviation is σ = .4. Construct the x¯ chart for this process if samples of size 6 are to be us..
What are the critical values X2/L and X2/R that correspond to a 99% confidence level and a sample size of 30?
In a recent survey 35 percent indicated chocolate was their favorite flavor of ice cream. Suppose we select a sample of 10 people and ask them to name their favorite flavor of ice cream.
Construct a 90% confidence interval for the above data Be sure to interpret this confidence interval in the context of this setting. State the null and alternative hypotheses in words and symbols. Compute the test statistic
Average salary of $27,839 with a standard deviation of $7,400. At the 0.01 significance level, do teachers with Master Degrees have higher salaries?
Suppose that you were interested in investigating the effect of a drug that is to be used in the treatment of patients who have glaucoma in both eyes.
Can we conclude at the 5% significance level that the population mean weight of athletic men is lower than the population mean weight of non-athletic men?
The probability of drawing two white cards without replacement is 14/95, and the probability of drawing 1 white card is 2/5.
Do the data support the hypothesis that oligofructose facilitates calcium absorption? (at)
In Check Your Learning 17-8, we introduced the example of the Chicago Police Department's study of lineups. Below is a printout from SPSS software
A system consists of two components. The proba- bility that the second component functions in a sat- isfactory manner during its design life is .9, the probability that at least one of the two components does so is .96, and the probability that bo..
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