Suppose that you are responsible for making arrangements for a medical convention and you have been charged with finding a city for the convention that has the least expensive hotel rooms. You have narrowed your choices to Atlanta and Houston. The data set contains a sample of hotel room prices from Atlanta and Houston. Based on the sample data, can you conclude that the mean price of a hotel room in Atlanta is lower than one in Houston? Perform a two-sample t-test with a significance level of = 0.05

AtlantaHouston

85125

65110

100105

120120

11585

125115

6565

9060

11595

70105

80115

6075

65100

7090

75115

65160

8065

8580

9560

8585

85130

85110

12095

9090

90125

8090

115125

11090

12585

8055

125150

60120

10580

11075

120105

Q. Compute the following:

Atlanta Houston

n = ? = ?

mean = ? = ?

std dev = ? = ?

variance = ? = ?

range = ? = ?

Q. Construct a five number summary and the interquartile range .of the data.

Atlanta Houston

Min = ? = ?

Q1 = ? = ?

Q2= ? = ?

Q3= ? = ?

Max = ? = ?

IQR= ? = ?

Q. Make a box plot of the data.

Q. State the null and alternative hypotheses. Use proper mathematical notation.

null = ?

alternative= ?

Q. Is this a left-tailed, right-tailed or two-tailed test?

Q. Compute the following. Assume unequal variance and df = 66.

The t.test() function can be used to compute the p-value directly.

alpha = 0.05

stand err = ?

df = 66

critical T= ?

test T= ?

use t.test()p-value = ?

Q. Do you reject or fail to reject the null hypothesis? Explain using both T and p-values.

Q. State your conclusion.