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1)?Answer following questions about confidence interval. 1) Write the formula of confidence interval for population mean (5 points). 2) To construct CIs of annual gasoline expenditure of 3 million households living in Los Angeles county, you randomly choose 100 households. The sample mean was \$2,000 and sample variance was \$40,000. With the given information, calculate a 90%, 95% and 99% confidence interval for the annual gasoline expenditure (15 points).

2)?A marketing research ?rm examines the relationship between wine consumption and whether a person likes to watch professional tennis on television. One hundred randomly selected people are asked whether they drink wine and whether they watch tennis. The following results are obtained:

 ? Watch tennis Do not watch tennis Totals Drink wine 16 24 40 Do not drink wine 4 56 60 Totals 20 80 100

?

1) What is the appropriate test for this problem (1 points)?

2) Set up the null and alternative hypotheses (2 points).

3) Write the formula of the test statistic (2 points).

4) Calculate the test statistic based on the formula (5 points).

5) Use Excel to calculate the p-value. Should we reject the null hypothesis at 5% significance level (5 points)?

6) Given the results of the test, does it make sense to advertise wine during a televised tennis match (assuming that the ratings for the tennis match are high enough)? Explain. (5 points)

In the book?Business Research Methods?(5th ed.), Donald R. Cooper and C. William Emory discuss a market researcher for an automaker who is studying consumer preferences for styling features of larger sedans. Buyers, who were?classi?ed

1) Write the formula of confidence interval for population mean (5 points).

CI= OR use Z?/2 If Population variance is known or n&gt;30

2)...

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