Question

You wish to test the claim that the first population mean is greater than the second population mean at a significance level of α=0.10

Ho:μ1=μ2
Ha:μ1>μ2

You obtain the following two samples of data.

Sample #1	Sample #2
51.4 43.6 66.0 58.0 75.9 63.3 77.0 81.0 70.8 63.0 46.5	75.8 55.9 30.6 48.5 14.3 21.1 43.0 27.7 40.3 68.5

1. What is the test statistic for this sample?
   
   test statistic =  Round to 4 decimal places.
   
2. What is the p-value for this sample?
   
   p-value =  Round to 4 decimal places.
   
3. The p-value is...
   • less than (or equal to) αα
   • greater than αα
   
   
4. This test statistic leads to a decision to...
   • reject the null
   • accept the null
   • fail to reject the null
   
   
5. As such, the final conclusion is that...
   • There is sufficient evidence to warrant rejection of the claim that the first population mean is greater than the second population mean.
   • There is not sufficient evidence to warrant rejection of the claim that the first population mean is greater than the second population mean.
   • The sample data support the claim that the first population mean is greater than the second population mean.
   • There is not sufficient sample evidence to support the claim that the first population mean is greater than the second population mean.

Answer 1

test statistic = 2.8752

The p-value is 0.0048.

less than (or equal to) α

reject the null

The sample data support the claim that the first population mean is greater than the second population mean.

Sample #1	Sample #2
63.318	42.570	mean
12.504	20.054	std. dev.
11	10	n
	19	df
	20.7482	difference (Sample #1 - Sample #2)
	272.7757	pooled variance
	16.5159	pooled std. dev.
	7.2163	standard error of difference
	0	hypothesized difference
	2.8752	t
	.0048	p-value (one-tailed, upper)