A random sample of students at a college reported what they believed to be their
ID: 2909887 • Letter: A
Question
A random sample of students at a college reported what they believed to be their heights in inches. Then the students measured each others' heights in centimeters, without shoes. The data provided are for the men, with their believed heights converted from inches to centimeters. Assume that conditions for t-tests hold.
The 95% confidence interval is -2.197, 0.997
The interval does include 0, so a hypothesis that the means are equal cannot be rejected..
Perform a t-test to test the hypothesis that the means are not the same. Use a significance level of 0.05.
Determine the hypotheses for this test. Let mu Subscript difference be the population mean difference between measured and believed height, in centimeters. Choose the correct answer below.
A.
Upper H 0 mu Subscript difference not equals 0
Upper H Subscript a mu Subscript difference greater than 0
B.
Upper H 0 mu Subscript difference equals 0
Upper H Subscript a mu Subscript difference not equals 0
C.
Upper H 0 mu Subscript difference not equals 0
Upper H Subscript a mu Subscript difference less than 0
D.
Upper H 0 mu Subscript difference not equals 0
Upper H Subscript a mu Subscript difference equals 0
E.
Upper H 0 mu Subscript difference equals 0
Upper H Subscript a mu Subscript difference less than 0
F.
Upper H 0 mu Subscript difference equals 0
Upper H Subscript a mu Subscript difference greater than 0
Explanation / Answer
We need to test the hypothesis that the means are not the same. That is the mean difference is not equal to 0.
So, the alternative hypothesis is the mean difference is not equal to 0.
Null hypothesis is opposite of alternative hypothesis. Hence null hypothesis would be the mean difference is equal to 0.
Hence, the correct option is,
B.
Upper H 0 mu Subscript difference equals 0
Upper H Subscript a mu Subscript difference not equals 0
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