A survey of go randomly selected hotels in each city found that the average hotel room rate in New Delhi  is $88.42 and the average room rate in Mumbai is $80.61, with standard deviations of, in New delhi, $5.62 and, in  Mumbai, $4.83. Assume that room rates are normally distributed in each city. a. Test at o.05 level of significance whether the two population variances differ. b. Based on your results of part a, use the appropriate case to test whether average room rates differ at a = 0.05 c. Construct a 95% confidence interval to estimate the difference in the two population means. d. Explain how the 95% confidence interval could be used to test the hypotheses in part b at a = 05, and come to the same conclusion.

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A survey of go randomly selected hotels in each city found that the average hotel room rate in New Delhi  is
$88.42 and the average room rate in Mumbai is $80.61, with standard deviations of, in New delhi, $5.62 and,
in  Mumbai, $4.83. Assume that room rates are normally distributed in each city.
a. Test at o.05 level of significance whether the two population variances differ.
b. Based on your results of part a, use the appropriate case to test whether average room rates
differ at a = 0.05
c. Construct a 95% confidence interval to estimate the difference in the two population means.
d. Explain how the 95% confidence interval could be used to test the hypotheses in part b at a = 05, and
come to the same conclusion.

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