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1. Test the claim that the mean lifetime of car engines of a particular type is greater than 220,000 miles. Sample data are summarized as n = 23, x = 226,450 miles, and s = 11,500 miles. Use a significance level of α = 0.01. What is the null and alternative hypothesis? What is your final conclusion?
2. The number of standard errors that the sample estimate (p1 - p2) of (p1 - p2) falls from its null hypothesis value of zero is called
A) the test statistic.
B) the margin of error.
C) the P-value.
D) the level of significance.
E) none of the above.
Find the area under the normal distribution curve to the right of z = -1.03.
For all questions, clearly explain/show your answers. For the Analysis section, justify your answers with the appropriate graphs, statistics, equations, etc.
What is the probability that all three students pick exactly the same card?
A recent census of a small town in Michigan showed that 60% of the residents are male, 20% have college degrees, and 15% are both male and college graduates.
They wish to conduct a survey of their students and find a simple random sample of 50 Freshmen, 40 Sophomores, 35 Juniors, and 30 Seniors.
When using past data, I have found that the proportion of items rejected by quality control personnel is about 3%. We normally make 5000 items per day. For a p chart, what are the upper and lower control limits?
The world record time (in minutes) in the marathon is plotted versus the year in which the record was set for men and women separately. The plotting symbol o is used for men and x for women. The data include only records set between 1908 and 1988.
A company wants to know if minorities are more likely to be in certain job categories than others. Their data base codes employees 1 for clerical, 2 for custodial, and 3 for manager. A logistic equation was fit to the data with SPSS.
A survey of college students collected information on several variables: Distance from Home, Age, Major, Gender, and Class. The variable Major is
What sample size must you take to be 96% confident that the results will be within $.75 of the true mean cost per call?
What IQ score should one have in order to be eligible for Mensa?
The Minneapolis Tribune ran an article on gender differences in shopping behavior. When 400 women were asked to respond to the question "Where I shop is influenced by which store has a greater variety," 60% answered "Yes.
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