I need help with these problems

A traveler wanted to know if the prices of hotels are different in the ten cities that he visits the most often. The list of the cities with the corresponding hotel prices for his two favorite hotel chains is in the table below. Test at the 1% level of significance. (Use Hilton prices - Hyatt prices for the difference.) Cities Hyatt Regency prices in dollars Hilton prices in dollars Atlanta 107 169 Boston 357 287 Chicago 207 867 Dallas 209 198 Denver 167 169 Indianapolis 179 214 Los Angeles 179 169 New York City 625 459 Philadelphia 179 159 Washington, DC 245 239In words, state what your random variable Yd represents. 0 X, represents the total difference in prices at the Hyatt Regency and Hilton hotels. 0 Rd represents the average prices of the 10 hotel stays. Q X, represents the difference in the mean prices at the Hyatt Regency and Hilton hotels. 0 X, represents the mean of the differences of prices at the Hyatt Regency and Hilton hotels. El Part (d) State the distribution to use for the test. (Enter your answer in the form 2 or td, where df is the degrees of freedom.) El Part (0) What is the test statistic? (If using the 2 distribution round your answer to two decimal places, and if using the tdistribution round your answer to three decimal places.) ---Se|ect- v = I What is the pvalue? (Round your answer to four decimal places.) Explain what the pvalue means for this problem. 0 If H0 is false, then there is a chance equal to the p-value that the difference in the sample mean of the prices at the Hyatt Regency and Hilton hotels is at least 9.3. 0 If H0 is false, then there is a chance equal to the p-value that the difference in the sample mean of the prices at the Hyatt Regency and Hilton hotels is at most 9.3. 0 If H0 is true, then there is a chance equal to the pvalue that the difference in the sample mean of the prices at the Hyatt Regency and Hilton hotels is at most 9.3. Q If H0 is true, then there is a chance equal to the pvalue that the difference in the sample mean of the prices at the Hyatt Regency and Hilton hotels is at least 9.3. El Part (9) Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the pvalue. 1/2(pvalue) Impvalue; 1/2(pvalue) 1/2(pvalue) 5| 0 o O 0 - value zdl El Part (h) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. (i) Alpha (Enter an exact number as an integer, fraction, or decimal.) a = (ii) Decision: 0 reject the null hypothesis 0 do not reject the null hypothesis (iii) Reason for decision: 0 Since p-value a, we reject the null hypothesis. 0 Sinoe p-value a, we do not reject the null hypothesis. (iv) Conclusion: 0 There is sufcient evidence to conclude that the prices at Hyatt Regency and Hilton hotels are different. 0 There is not suicient evidence to conclude that the prices at Hyatt Regency and Hilton hotels are different. l3 Part (i) Explain how you determined which distribution to use. 0 The tdistribution will be used because the samples are dependent. O The standard normal distribution will be used because the samples involve the difference in proportions. O The t-distribution will be used because the samples are independent and the population standard deviation is not known. 0 The standard normal distribution will be used because the samples are independent and the population standard deviation is known