Question

Is there a significant difference in nighttime July temperatures across the three types of locations: urban, suburban, and rural? Use the 0.05 level of significance?

	Urban	Suburban	Rural
	82	75	71
	84	77	69
	88	78	74
	85	79	72
	85	76	74
	81	77	70
	86	72	68
	83	80	74
Average	84.25	76.75	71.5
Grand Mean	77.5

Answer 1

The hypothesis being tested is:

H0: µ1 = µ2 = µ3

Ha: Not all means are equal

Source	SS	df	MS	F	p-value
Treatment	657.00	2	328.500	57.97	2.82E-09
Error	119.00	21	5.667
Total	776.00	23

The p-value is 0.0000.

Since the p-value (0.0000) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that there is a significant difference in nighttime July temperatures across the three types of locations: urban, suburban, and rural.

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