Question

1. You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002.

      Ho:μ=81.6Ho:μ=81.6
      Ha:μ>81.6Ha:μ>81.6

You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:

data
124.5
115.9
115.9

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? (Report answer accurate to four decimal places.)
p-value =

The p-value is...

• less than (or equal to) αα
• greater than αα

This test statistic leads to a decision to...

• reject the null
• accept the null
• fail to reject the null

As such, the final conclusion is that...

• There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 81.6.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 81.6.
• The sample data support the claim that the population mean is greater than 81.6.
• There is not sufficient sample evidence to support the claim that the population mean is greater than 81.6.

2. Test the claim that the mean GPA of night students is significantly different than 3 at the 0.1 significance level.

The null and alternative hypothesis would be:

a. H0:μ≤3H0:μ≤3
H1:μ>3H1:μ>3

b. H0:μ=3H0:μ=3
H1:μ≠3H1:μ≠3

c. H0:p≤0.75H0:p≤0.75
H1:p>0.75H1:p>0.75

d. H0:μ≥3H0:μ≥3
H1:μ<3H1:μ<3

e. H0:p≥0.75H0:p≥0.75
H1:p<0.75H1:p<0.75

f. H0:p=0.75H0:p=0.75
H1:p≠0.75H1:p≠0.75

The test is:

a. two-tailed

b. right-tailed

c. left-tailed

Based on a sample of 40 people, the sample mean GPA was 3.01 with a standard deviation of 0.05

The test statistic is:  (to 2 decimals)

The p-value is:  (to 2 decimals)

Based on this we:

a.Fail to reject the null hypothesis

b. Reject the null hypothesis

3. A shareholders' group is lodging a protest against your company. The shareholders group claimed that the mean tenure for a chief exective office (CEO) was at least 8 years. A survey of 82 companies reported in The Wall Street Journal found a sample mean tenure of 6.7 years for CEOs with a standard deviation of s=s= 4.6 years (The Wall Street Journal, January 2, 2007). You don't know the population standard deviation but can assume it is normally distributed.

You want to formulate and test a hypothesis that can be used to challenge the validity of the claim made by the group, at a significance level of α=0.02α=0.02. Your hypotheses are:

      Ho:μ=8Ho:μ=8
      Ha:μ<8Ha:μ<8

What is the test statistic for this sample?
test statistic =  (Report answer accurate to 3 decimal places.)

What is the p-value for this sample?
p-value =  (Report answer accurate to 4 decimal places.)  

The p-value is...

a. less than (or equal to) αα

b. greater than αα

This test statistic leads to a decision to...

a. reject the null

b. accept the null

c. fail to reject the null

As such, the final conclusion is that...

a. There is sufficient evidence to warrant rejection of the claim that the population mean is less than 8.

b. There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 8.

c. The sample data support the claim that the population mean is less than 8.

d. There is not sufficient sample evidence to support the claim that the population mean is less than 8.

Answer 1