A researcher wished to compare the average daily hotel room rates between San Fr

Question

A researcher wished to compare the average daily hotel room rates between San Francisco and Los Angeles. The researcher obtained an SRS of 27 hotels in downtown San Francisco and found the sample mean X1=$156, with a standard deviation S1=$18. The researcher also obtained an independent SRS of 24 hotels in downtown Los Angeles and found the sample mean X2=$143, with a standard deviation S2=$10. Let U1 and U2 represent the mean cost of the populations of all hotels in these cities, respectively. Assume the two-sample t procedure are safe to use.

1. A 95% confidence interval for U1-U2 is (use the consertive value for the degrees of freedom):

a) (4.61, 21.39)

b) (-20.44, 46.44)

c) (4.68, 21.32)

d) (4.75, 22.55)

2. Suppose the researcher had wished to test the hypotheses

Ho: U1=U2, Ha: U1>U2

The numerical value of the two-sample t statistic is:

a) 0.80

b) 2.79

c) 3.23

d) 12.49

3. Suppose the researcher had wished to test the hypotheses

Ho: U1=U2, Ha: U1>U2

The P-value for the test is (use the conservative value for the degrees of freedom):

a) larger than 0,10

b) between 0.10 and 0.05

c) between 0.05 and 0.01

d) below 0.01

how do you solve this?!

Explanation / Answer

ANSWERS ARE

1=b) (-20.44, 46.44)

2=c) 3.23

3=d) below 0.01

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