Question

Austin Houston Sample Size 15 12 Sample Mean 188.2000 155.3333 Sample Standard Deviation 41.4319 28.4328 df...

Austin

Houston

Sample Size

15

12

Sample Mean

188.2000

155.3333

Sample Standard Deviation

41.4319

28.4328

df

25

Pooled Sample Standard Deviation

36.2905

Confidence Interval (in terms of Austin - Houston)

Confidence Coefficient

0.90

Lower Limit

8.8583

Upper Limit

56.8750

Hypothesis Test (in terms of Austin - Houston)

Hypothesized Value

5

Test Statistic

p-value (Lower Tail)

p-value (Upper Tail)

0.0292

p-value (Two Tail)

Expedia is interested in looking at the difference in the average price of a hotel room in Austin versus one in Houston. Fifteen hotels in Austin and 12 hotels in Houston were randomly selected and the nightly room rates recorded. Based on Expedia’s results, can they say there is more than a $5 difference in the average price of a hotel room between these two cities at α=.025? State the hypothesis in terms of Austin – Houston. Use the excel output above to answer the following question.

What is the decision?

Homework Answers

Answer #1

it is upper tailed hypothesis because we want to test whether the difference is more than $5 or not.

Using the excel data output table, we can get the p value = 0.0292

it is clear that the p value is greater than the significance level of 0.025

therefore, failed to reject the null hypothesis

we can say that there is insufficient evidence to conclude that the difference is more than $5 in the average price of a hotel room between these two cities

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