Question

18. Claim: Neighborhood A has a greater average household income than neighborhood B. Test at α = 0.05 Data: A sample of 15 households from neighborhood A have an average income of $54,750 and a standard deviation of $2500. A sample of 9 households from neighborhood B have an average income of $53,200 and a standard deviation of $1825. Assume that the population standard deviations are NOT the same
(a) Are these data statistically significant evidence to support the claim?

(b) Are these data statistically significant evidence to refute the claim?

Answer 1

Ans.

Note :- We find result using MINITAB

Steps:-

1. Choose Stat > Basic Statistics > 2-Sample t.

2. Choose Samples in different columns.

3. In First, enter the column containing the first sample.

4. In Second, enter the column containing the other sample.

5. If you like, use any dialog box options, and click OK.

Decision:-

Since, P-value = 0.048 <

Hence, we reject H0 at

Conclusion:-

Yes, these data are statistically evidence to support the claim.