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The countries of Europe report that 46% of the labor force is female. The United Nations wonders if the percentage of females in the labor force is the same in the United States. Representatives from the United States Department of Labor plan to check a random sample of over 10,000 employment records on file to estimate a percentage of females in the United States labor force.
a. They select a random sample of 525 employment records, and find that 229 of the people are females. State the conditions needed to build a confidence interval.
b. Interpret the confidence interval in this context. Explain what 90% confidence means in this context.
c. Should the representatives from the Department of Labor conclude that the percentage of females in their labor force is lower than Europe's rate of 46%? Explain.
A local tire dealer wants to predict the number of tires sold each month. He believes that the number of tires sold is a linear function of the amount of money invested in advertising.
43 students, 22are sophomores, 28are chemistry majors, and 11are neither. What are the probability that the student is both a sophomore and a chemistry major?
If the top 15% of the test scores are usually good enough for admission to law school, find the cut off score for gaining admission.
Marital Status. The probability that a randomly chosen 40-year-old woman is divorced is about 0.15. this probability is a long-run proportion based on all the millions of women aged 40.
An article in Annals of Mathematical Statistics reports the following data on the number of borers in each of 120 groups of borers. Does the Poisson pmf provide a plausible model for the distribution of the number of borers in a group?
A study by Hewitt Associates showed that 79% of companies offer employees flexible scheduling. Suppose a researcher believes that in accounting firms this figure is lower.
A researcher is interested in determining the proportion of public elementary schools that have a mandatory school uniform policy. The researcher randomly sampled n=400 public elementary schools and found that 100 of the schools have a mandatory s..
The faculty members at Boise State University were surveyed on the question "How satisfied were you with the Summer 2002 Schedule?" Their responses were to be categorized as "very satisfied," "somewhat satisfied," "neither satisfied nor dissatisfi..
Describe what the researcher must do if one of the requirements is not met and give illustrations.
The monthly sales volume (in thousands of dollars) for a manufacturer of snow skis is seasonal (there tend to be more skis sold during fall and winter months than during warmer months). The following table shows the monthly seasonal indexes for th..
Many newspapers carry a certain puzzle in which the individual must unscramble letters to form words. How many ways can the letters of YARNLE be arranged?
Suppose Z has a standard normal distribution with a mean of 0 and a standard deviation of 1.0. One-half (50%) of the possible Z values are between ________ and ___________ symmetrically distributed about the mean.
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