#10

a. A researcher collects a sample of 30 measurements from a Normally distributed population and wishes to find a 99% confidence interval for the population mean. What value should he use for t*? b. If he instead decides to use a 95% confidence interval, will the interval be wider or be narrower or stay the same? Why? Click the icon to view the t-table. a. To find a 99% confidence interval for the population mean, he should use for t*. (Round to three decimal places as needed.) b. If he instead decides to use a 95% confidence interval, will the interval be wider, be narrower, or stay the same? Why? O A. The interval will be wider because t* is bigger, which makes the margin of error bigger. O B. The interval will be narrower because t* is bigger, which makes the margin of error smaller. O C. The interval will be narrower because t* is smaller, which makes the margin of error smaller. O D. The interval will be wider because t* is smaller, which makes the margin of error bigger.The average price for a movie ticket in a certain country in 2018 was $8.22. A random sample of 30 movie ticket prices in a major city in that country had a sample mean of $11.81 with a standard deviation of $3.31. a. Do we have evidence that the price of a movie ticket in that city is different from the national average? Use a significance level of 0.05. b. Construct a 95% confidence interval for the price of a movie ticket in that city. How does your confidence interval support your conclusion in part (a)? a. Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: H $8.22 Ha: H > $8.22 Ha: H #$8.22 Ha: H = $8.22 O D. Ho: H = $8.22 O E. Ho: H= $8.22 OF. Ho: H # $8.22 Ha: H > $8.22 Ha: H 0 Ha: H O Ha : H= 0 Ha : H#0 Ha: HSO The test statistic is Round to two decimal places as needed.) The p-value is (Round to three decimal places as needed.) Interpret the results of the test. Since the p-value is the significance level, Ho- There is evidence to conclude that the population mean is more than 0 pounds at a significance level of 0.05