Question

6) A researcher was interested in comparing the amount of time (in hours) spent watching television
by women and by men. Independent simple random samples of 14 women and 17 men were selected, and
each person was asked how many hours he or she had watched television during the previous week. The
summary statistics are as follows.
Women Men x1 = 12.1 hr x2 = 14.2 hr
s1 = 3.9 hr s2 = 5.2 hr
n1 = 14 n2 = 17
Use a 0.05 significance level to test the claim that the mean amount of time spent watching
television by women is smaller than the mean amount of time spent watching television by men. Use
the traditional
method of hypothesis testing.

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if u can show me how to do it step by step it will mean a lot thank u

if its possible sir use a ti-84 calculator

Answer 1

Claim: The mean amount of time spent watching television by women is smaller than the mean amount of time spent watching television by men.

The null and alternative hypothesis is

Level of significance = = 0.05

By using Ti-84 calculator we can solve this question easily.

Click on STAT ----------> TESTS ---------> 2-SampTTest ----------> Stats --------> Enter value -------->

: 12.1

Sx1: 3.9

n1: 14

: 14.2

Sx2: 5.2

n2: 17

Pooled: Yes

Calculate.

We get t = - 1.25

P-value = 0.111

P-value > 0.05 we fail to reject null hypothesis.

Conclusion: There is not sufficient evidence to support researchers claim.