A researcher wished to compare the average daily hotel room rates between San Francisco and Los...

A researcher wished to compare the average daily hotel room rates between San Francisco and Los Angeles. The researcher obtained an SRS of 15 hotels in downtown San Francisco and found the sample mean ? ̅1=$156, with a standard deviation ?_1= $15. The researcher also obtained an independent SRS of 10 hotels in downtown Los Angeles and found the sample mean ? ̅_2= $143, with a standard deviation ?_2= $10. Let 1 and 2 represent the mean cost of the populations of all hotels in these cities, respectively. Assume the two-sample t procedures are safe to use, i.e. Unequal Variances. a)Suppose the researcher had wished to test the hypotheses H0: µ1 = µ2 vs. Ha: µ1 ≠ µ2 at the 5% significance level (i.e., α = 0.05). The numerical value of the two-sample t statistic is? b)What is your P-value? c)What are your statistical conclusion and its interpretation? Use significance level, α = 0.05 (or 5%

. d)Based on your P-value and conclusion in (b) and (c), will you conclude that a 99% confidence interval for µ1 - µ2 includes the value 0? Explain.

Solutions

Expert Solution

As p value = 0.016 > 0.01

Ho is accepted.

This implies difference between means is 0

Therefore, we conclude that 99% confidence interval contains 0.

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