You wish to test the following claim (Ha) at a significance level of a = 0.02. H,: P1 – 42 = 0 Ha: P1 – 42 > 0 You obtain the following two samples of data. Sample #2 Sample #1 61.3 63.5 47.7 51.2 52 39.2 59.7 53.3 54.7 51 54.2 45.5 55.6 46.6 65.3 33 54 48.4 46.6 49.2 65.8 58.6 53.4 49.4 54 54.7 67.7 41.4 47.1 46.1 34 55.4 57.7 55.5 40.7 54.2 Do not test the sample variances using Fcdf. Assume the sample variances are not equal and DO NOT POOL. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a greater than a

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You wish to test the following claim (Ha) at a significance level of a = 0.02.
H.:µ1 – µ2 =0
Ha:µ1 – P2 > 0
||
You obtain the following two samples of data.
Sample #2
Sample #1
61.3
63.5
47.7
51.2
52
39.2
59.7
53.3
54.7
51
54.2
45.5
55.6
46.6
65.3
33
54
48.4
46.6
49.2
65.8
58.6
53.4
49.4
54
54.7 67.7
41.4
47.1
46.1
34
55.4
57.7
55.5
40.7
54.2
Do not test the sample variances using Fcdf. Assume the sample variances are not equal and DO NOT POOL.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the
technology you are using. (Report answer accurate to four decimal places.)
p-value =
The p-value is...
Oless than (or equal to) a
Ogreater than a
Transcribed Image Text:You wish to test the following claim (Ha) at a significance level of a = 0.02. H.:µ1 – µ2 =0 Ha:µ1 – P2 > 0 || You obtain the following two samples of data. Sample #2 Sample #1 61.3 63.5 47.7 51.2 52 39.2 59.7 53.3 54.7 51 54.2 45.5 55.6 46.6 65.3 33 54 48.4 46.6 49.2 65.8 58.6 53.4 49.4 54 54.7 67.7 41.4 47.1 46.1 34 55.4 57.7 55.5 40.7 54.2 Do not test the sample variances using Fcdf. Assume the sample variances are not equal and DO NOT POOL. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.) p-value = The p-value is... Oless than (or equal to) a Ogreater than a
This test statistic leads to a decision to...
O reject the null hypothesis
O accept the null hypothesis
O fail to reject the null hypothesis
As such, the final conclusion is that...
O There is enough evidence to show that the first population mean is not greater than the second
population mean.
O There is not enough evidence to show that the first population mean is not greater than the second
population mean.
OThere is enough evidence to show that the first population mean is greater than the second
population mean.
O There is not enough evidence to show that the first population mean is greater than the second
population mean.
Transcribed Image Text:This test statistic leads to a decision to... O reject the null hypothesis O accept the null hypothesis O fail to reject the null hypothesis As such, the final conclusion is that... O There is enough evidence to show that the first population mean is not greater than the second population mean. O There is not enough evidence to show that the first population mean is not greater than the second population mean. OThere is enough evidence to show that the first population mean is greater than the second population mean. O There is not enough evidence to show that the first population mean is greater than the second population mean.
Expert Solution
Step 1

State the hypotheses.

Statistics homework question answer, step 1, image 1

That is, there is no evidence that the first population mean is greater than the second population mean.

 

Statistics homework question answer, step 1, image 2

 

That is, there is evidence that the first population mean is greater than the second population mean.

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