Question

Question 5 1 pts Is there a difference between the average amount of time that the rich and the poor spend in the shower? The results of a survey asking poor and rich people how many minutes they spend in the shower are shown below. 13| Poor Rich 13 8 18 11 7 10 15 9 11 13 8 7 17 12 14 10 23 13 19 18 24 10 18 9 Assume that both populations follow a normal distribution. What can be concluded at the 0.05 level of significance? Helpful Video Hint Textbook Pages Ho: 4 Poor = Rich Hai Mpoor [Select) U Rich Test statistic: [Select] p-Value = (Select ] [Select ] Conclusion: There is (Select] evidence to make the conclusion that there is a difference in population mean time in the shower for poor and rich people.

Answer 1

Answer)

First we need to find the mean and s.d for the given data

For poor

x1 = 15.3846

S1 = 5.1565

N1 = 13

For rich

X2 = 10.8333

S2 = 2.9181

N = 12

upoor = urich

upoor not equal to urich

Test statistics t = (x1-x2)/standard error

Standard error = √{(s1^2/n1)+(s2^2/n2)}

After substitution

t = 2.742

Degrees of freedom.is = smaller of n1-1, n2-1 = 11

For 11 dof and 2.742 test statistics, p-value from t distribution is = 0.019163

As obtained p-value is less than 0.05 (given significance level)

We reject the null hypothesis Ho

So we have enough evidence to conclude that there is a difference