Question

End of Section Problem 9.22 According to data released by the World Bank, the mean PM10 (particulate matter) concentration for the city of Kabul, Afghanistan, in 1999 was 46. Suppose that because of efforts to improve air quality in Kabul, increases in modernization, and efforts to establish environmental-friendly businesses, city leaders believe rates of particulate matter in Kabul have decreased. To test this notion, they randomly sample 12 readings over a one-year period with the resulting readings shown below. Do these data present enough evidence to determine that PM10 readings are significantly less now in Kabul? Assume that particulate readings are normally distributed and that α = .01.

31 44 35 53 57 47

32 40 31 38 53 45

The value of the test statistic is t =___ and we____

Answer 1

null hypothesis: Ho:             μ		=	46
Alternate Hypothesis: Ha:μ		<	46
0.01 level with left tailed test and n-1= 11 df, critical t=			-2.718
Decision rule :                   reject Ho if test statistic t<2.718
	population mean μ=	46
	sample mean         x=	42.167
	sample size             n=	12
	sample std deviation s=	9.124
	std error sx=s/√n=	2.6338
	test stat t='(x-μ)*√n/s=	-1.4554

The value of the test statistic is t = -1.4554 and we fail to reject Ho (since test statistic is not in rejection region)