ou wish to test the following claim (H1H1) at a significance level of α=0.10 H0:μ=64.3 H1:μ<64.3 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=14 with mean ¯x=60.3 and a standard deviation of s=11.5 a) What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = Type in your work or click on the paperclip icon in the tool bar for the "Add Work" box and upload a picture of your work to receive full credit for this question. b) What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = Type in your work or click on the paperclip icon in the tool bar for the "Add Work" box and upload a picture of your work to receive full credit for this question. c) The p-value is... less than (or equal to) αα greater than αα d) This test statistic leads to a decision to... reject the null accept the null fail to reject the null e) As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is less than 64.3. There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 64.3. The sample data support the claim that the population mean is less than 64.3. There is not sufficient sample evidence to support the claim that the population mean is less than 64.3
please help
You wish to test the following claim (H1H1) at a significance level of α=0.10
H0:μ=64.3
H1:μ<64.3
You believe the population is
a) What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
Type in your work or click on the paperclip icon in the tool bar for the "Add Work" box and upload a picture of your work to receive full credit for this question.
b) What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =
Type in your work or click on the paperclip icon in the tool bar for the "Add Work" box and upload a picture of your work to receive full credit for this question.
c) The p-value is...
- less than (or equal to) αα
- greater than αα
d) This test statistic leads to a decision to...
- reject the null
- accept the null
- fail to reject the null
e) As such, the final conclusion is that...
- There is sufficient evidence to warrant rejection of the claim that the population mean is less than 64.3.
- There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 64.3.
- The sample data support the claim that the population mean is less than 64.3.
- There is not sufficient sample evidence to support the claim that the population mean is less than 64.3.
Step by step
Solved in 4 steps with 4 images