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Business Week surveyed MBA alumni 10 years after graduation to ?nd out how much they spend eating out per week. You are asked to conduct a follow-up study by taking a sample of 40 of these MBA alumni. Assume the population standard deviation is $35.
a. Are the assumptions for the sampling distribution of x to be normally distributed satis?ed? Explain.b. If the population mean for how much alumni spend is $115.50 per week eating out socially, what is the mean and standard deviation for the sampling distribution of x?c. What is the probability the sample mean will be within $10 of the population mean?
Construct a 90% confidence interval for the true mean weight. What sample size would be necessary to estimate the true weight with an error of plus or minus .03 grams with a 90% confidence?
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The weight of an almond is normally distributed with mean 0.05 ounce and standard deviation of 0.015 ounce. Find the probability that a package of 100 almonds will weigh between 4.3 and 5.3 ounces.
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Five percent of the respondents gave $25,000 or more to charity over the previous year. Develop a 95% confidence interval for the proportion who gave $25,000 or more to charity.
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As part of study of the development of the thymus gland, researchers weighed the glands of five chick embryos after 14 days of incubation. Calculate the standard error of the mean.
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