Question

16. In a hypothesis test, the claim is μ≤28 while the sample of 29 has a mean of 41 and a standard deviation of 5.9. In this hypothesis test, would a z test statistic be used or a t test statistic and why?

z test statistic would be used as the mean is less than than 30

t test statistic would be used as the sample size is less than 30

t test statistic would be used as the standard deviation is less than 10

z test statistic would be used as the sample size is greater than 30

17. A university claims that the mean time professors are in their offices for students is at least 6.5 hours each week. A random sample of twelve professors finds that the mean time in their offices is 6.2 hours each week. With a population standard deviation of 0.49 hours, can the university’s claim be supported at α=0.05?

Yes, since the test statistic is in the rejection region defined by the critical value, the null is not rejected. The claim is the null, so is supported

No, since the test statistic is not in the rejection region defined by the critical value, the null is rejected. The claim is the null, so is not supported

No, since the test statistic is in the rejection region defined by the critical value, the null is rejected. The claim is the null, so is not supported

Yes, since the test statistic is not in the rejection region defined by the critical value, the null is not rejected. The claim is the null, so is supported

18. A credit reporting agency claims that the mean credit card debt in a town is greater than $3500. A random sample of the credit card debt of 20 residents in that town has a mean credit card debt of $3547 and a standard deviation of $391. At α=0.10, can the credit agency’s claim be supported?

Yes, since p-value of 0.30 is greater than 0.10, fail to reject the null. Claim is null, so is supported

No, since p-value of 0.30 is greater than 0.10, fail to reject the null. Claim is alternative, so is not supported

No, since p-value of 0.30 is greater than 0.10, reject the null. Claim is null, so is not supported

Yes, since p-value of 0.30 is less than 0.54, reject the null. Claim is alternative, so is supported

19. A car company claims that its cars achieve an average gas mileage of at least 26 miles per gallon. A random sample of eight cars form this company have an average gas mileage of 25.2 miles per gallon and a standard deviation of 1 mile per gallon. At α=0.06, can the company’s claim be supported?

Yes, since the test statistic of -2.26 is not in the rejection region defined by the critical value of -1.77, the null is not rejected. The claim is the null, so is supported

No, since the test statistic of -2.26 is in the rejection region defined by the critical value of -1.77, the null is rejected. The claim is the null, so is not supported

Yes, since the test statistic of -2.26 is in the rejection region defined by the critical value of -1.55, the null is rejected. The claim is the null, so is supported

No, since the test statistic of -2.26 is not in the rejection region defined by the critical value of -1.24, the null is not rejected. The claim is the null, so is supported

20. A researcher wants to determine if daily walks together strengthen a marriage. One group of wives and one group of husbands are selected and take walks each day. After 2 weeks, all are asked if they felt their marriage was stronger based on the walks and the results of the two groups are compared. To be a valid matched pair test, what should the researcher consider in creating the two groups?

That the husbands and wives selected were married to each other

That the both groups were positive on marriage before the walks

That all husbands and wives in the test had been married about the same amount of time

That the wives group was positive on marriage before the walks

Answer #1

16. Correct answer: Option (A) t test statistic would be used as the sample size is less than 30

17. Correct answer: (D) Yes, since the test statistic is not in the rejection region defined by the critical value, the null is not rejected. The claim is the null, so is supported.

z Test

Test Statistic, z: -2.1209

Critical z: 1.6449

P-Value: 0.9830

18.

Correct answer: (A) Yes, since p-value of 0.30 is greater than
0.10, fail to reject the null. Claim is null, so is supported.

t Test

Test Statistic, t: 0.5376

Critical t: 1.7291

P-Value: 0.2986

19.

Correct answer: (B) No, since the test statistic of -2.26 is in the
rejection region defined by the critical value of -1.77, the null
is rejected. The claim is the null, so is not supported

A credit reporting agency claims that the mean credit card debt
in a town is greater than $3500. A random sample of the credit card
debt of 20 residents in that town has a mean credit card debt of
$3619 and a standard deviation of $391. At α=0.10, can the credit
agency’s claim be supported?
Yes, since p-value of 0.19 is greater than 0.10, fail to reject
the null. Claim is null, so is supported
No, since p-value of 0.09...

A car company claims that its cars achieve an average gas
mileage of at least 26 miles per gallon. A random sample of eight
cars form this company have an average gas mileage of 25.2 miles
per gallon and a standard deviation of 1 mile per gallon. At
α=0.06, can the company’s claim be supported, assuming this is a
normally distributed data set?
a) No, since the test statistic of -2.26 is in the rejection
region defined by the critical...

1.
(CO 7) A travel analyst claims that the mean room rates at a
three-star hotel in Chicago is greater than $152. In a random
sample of 36 three-star hotel rooms in Chicago, the mean room rate
is $163 with a standard deviation of $41. At α=0.10, what type of
test is this and can you support the analyst’s claim using the
p-value?
Claim is the alternative, fail to reject the null as p-value
(0.054) is less than alpha (0.10),...

A university claims that the mean time professors are in their
offices for students is at least 6.5 hours each week. A random
sample of eight professors finds that the mean time in their
offices is 6.2 hours each week. With a sample standard deviation of
0.49 hours from a normally distributed data set, can the
university’s claim be supported at α=0.05?
A. Yes, since the test statistic is not in the rejection region
defined by the critical value, the...

A car company claims that the mean gas mileage for its luxury
sedan is at least 24 miles per gallon. A random sample of 7 cars
has a mean gas mileage of 23 miles per gallon and a standard
deviation of 2.4 miles per gallon. At α=0.05, can you support the
company’s claim assuming the population is normally distributed?
Yes, since the test statistic is not in the rejection region
defined by the critical value, the null is not rejected....

A business receives supplies of copper tubing where the supplier
has said that the average length is 26.70 inches so that they will
fit into the business’ machines. A random sample of 48 copper tubes
finds they have an average length of 26.75 inches. The population
standard deviation is assumed to be 0.15 inches. At α=0.05, should
the business reject the supplier’s claim?
Yes, since p<α, we reject the null and the null is the
claim
No, since p>α, we...

(CO7) A state Department of Transportation claims that the mean
wait time for various services at its different location is less
than 6 minutes. A random sample of 16 services at different
locations has a mean wait time of 9.5 minutes and a standard
deviation of 7.3 minutes. At α=0.05, can the department’s claim be
supported assuming the population is normally distributed?
No, since p of 0.037 is less than 0.05, reject the null. Claim
is null, so is not...

I appreciate you taking the time to answer my question today,
please answer as many as you can, thank you.
Question 26 2 pts
(CO7) A travel analyst claims that the mean room rates at a
three-star hotel in Chicago is greater than $152. In a random
sample of 36 three-star hotel rooms in Chicago, the mean room rate
is $160 with a standard deviation of $41. At α=0.10, what type of
test is this and can you support the...

A customer service phone line claims that the wait times before
a call is answered by a service representative is less than 3.3
minutes. In a random sample of 62 calls, the average wait time
before a representative answers is 3.26 minutes. The population
standard deviation is assumed to be 0.14 minutes. Can the claim be
supported at α=0.08?
Homework Help:
6VE. Second sample hypothesis testing from word problem to
implications for claim, with test statistic (Links to an external...

You wish to test the following claim (H1H1) at a significance
level of α=0.001α=0.001.
Ho:μ=82.3Ho:μ=82.3
H1:μ>82.3H1:μ>82.3
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=26n=26
with a mean of ¯x=90x¯=90 and a standard deviation of
SD=11.9SD=11.9.
What is the critical value for this test? (Report answer accurate
to three decimal places.)
critical value =
What is the test statistic for this sample? (Report answer accurate
to three...

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