Find the critical values. Enter the values in ascending order and round the answ

Question

Find the critical values. Enter the values in ascending order and round the answers to two decimal places.

Compute the test value.

Reject or not reject?

Is there enough evidence to support the claim that the is a difference in the means of the salaries?

Whiting, Indiana, leads the"Top 100 Cities with the Oldest Houses" list with the average age of houses being 66.4 years. Farther down the list resides Franklin, Pennsylvania, with an average house age of 59.4 years. Researchers selected a random sample of 24 houses from Whiting and 18 houses from Franklin and obtained the following statistics. Ata = 0.025, can it be concluded that the houses in Whiting are older? Use theP-value method. Assume the variables are normally distributed and the variances are unequal. Mean age(in years) Standard deviation(in years) Whiting 61.8 5.4 Franklirn 59.5 3.9 Source: www.citv-data.com Use 1 for the average age of houses in whiting. Part 1 out of 5 State the hypotheses and identify the claim with the correct hypothesis. H0: 1 (select) 2 (select) H 1: 1 (select) 2 (select) This hypothesis test is a (select)' test.

Explanation / Answer

Using Minitab:

Two-Sample T-Test and CI

Sample N Mean StDev SE Mean
1 24 61.80 5.40 1.1
2 18 59.50 3.90 0.92

Difference = mu (1) - mu (2)
Estimate for difference: 2.30
95% lower bound for difference: -0.12
T-Test of difference = 0 (vs >): T-Value = 1.60 P-Value = 0.059 DF = 39

Critical t value:

d.f 39 with alpha 0.025 using excel =TINV(0.0125,39) as this is right tailed test.

we will get critical t value 2.62.

Critical t-value > Obc]served t value 1.60 or P-value 0.001 < 0.025 so we reject the null hypothesis.

so we conclude that there is  enough evidence to support the claim that the is a difference in the means of the salaries

Hope this will be helpful. Thanks and God Bless you :-)

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