A researcher takes sample temperatures in Fahrenheit of 15 days from Pittsburgh (Group 1) and 18 days from Miami (Group 2). Test the claim that the mean temperature in Pittsburgh greater than the mean temperature in Miami. Use a significance level of $\displaystyle \alpha={0.10}$. Assume the populations are approximately normally distributed with unequal variances. You obtain the following two samples of data. Round answers to 4 decimal places.

Pittsburgh	Miami
43	38.3
92.6	57
57.3	44.7
81	37.8
71.6	31.9
52.8	0.3
38	48.4
43	50.4
55.3	67.8
65.9	54
63.2	33.9
65	0.3
67.3	36.9
91	39.7
73.6	51.9
	39.2
	41.5
	24.4

What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols for each of the 6 spaces.

H₀: Select an answer x̅₁ p s² x̅₂ μ₂ μ₁ μd σ² ? < ≤ = ≥ ≠ > Select an answer 0 p μ₂ σ² x̅₁ μ₁ x̅₂ s²

H₁: Select an answer p x̅₁ μ₁ x̅₂ μ₂ s² μd σ² ? ≤ ≠ = < ≥ > Select an answer p 0 μ₂ s² x̅₂ σ² μ₁ x̅₁

Based on the hypotheses, find the following:

Test Statistic =

p-value =

The p-value is Select an answer less than (or equal to) alpha greater than alpha to alpha.

The correct decision is to Select an answer accept the alternative hypothesis fail to reject the null hypothesis reject the null hypothesis reject the claim accept the null hypothesis .

The correct summary would be: Select an answer There is enough evidence to reject There is not enough evidence to reject There is enough evidence to support There is not enough evidence to support the claim that the mean temperature in Pittsburgh greater than the mean temperature in Miami.