MATH221 Test Exam Quizzes & Answers
(Complete Solutions 100% Correct)
What would be the result of a hypothesis test where test-statistic=1.00, p-value=0.1599
and α=.10? - ✔✔Do not reject Ho since p-value is not less than α
A manufacturer claims that their calculators are 6.800 inches long. A random sample of
39 of their calculators finds they have a mean of 6.812 inches with a standard deviation
of 0.03 inches. At α=0.08, can you support the manufacturer's claim using the p value? -
✔✔Claim is the null hypothesis, reject the null hypothesis and cannot support claim
as p-value (0.012) is less than alpha (0.08)
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 population standard deviation of $41. At α=0.10, can you
support the analyst's claim using the p-value? - ✔✔Claim is the alternative
hypothesis, fail to reject the null hypothesis as p-value (0.121) is not less than alpha
(0.10), and cannot support the claim
In a hypothesis test, the claim is μ>1137. A sample 50 has a mean of 1114.67 and a
population standard deviation of 20.3 from a normally distributed data set. 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 population standard deviation is known
What type of test would you perform for the following hypotheses:
Ho: μ = 23, Ha: μ ≠ 23 - ✔✔Two-tail test
A used car dealer says that the mean price of a three-year-old sport utility vehicle in
good condition is $18,000. A random sample of 20 such vehicles has a mean price of
, $18,450 and a standard deviation of $1930. At α=0.08, can the dealer's claim be
supported assuming the population is normally distributed? - ✔✔Yes, since the p-
value of 0.310 is greater than alpha of 0.08, the null is not rejected. The claim is the null,
so is supported
A researcher wants to determine if lead levels are different between the top of a glass
of water and the bottom of a glass of water. Many samples of water are taken. From
half, the lead level at the top is measured and from half, the lead level at the bottom is
measured. Would this be a valid matched pair test? - ✔✔No, as the measurements of
top and bottom should be from the same glass
A Type I error is committed when: - ✔✔The null hypothesis is true and we reject it.
Which of the following is true about Ho? - ✔✔It always contains a = sign
A state Department of Transportation claims that the mean wait time for various
services at its different location is more 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
7.6 minutes. At α=0.05, what would be the outcome of a hypothesis test for this claim? -
✔✔Reject Ho since p-value is less than alpha.
An executive claims that her employees spend no more than 2.5 hours each week in
meetings. Write the null and alternative hypotheses. - ✔✔Ho: μ = 2.5, Ha: μ > 2.5
Which of the following is not a valid outcome of a hypothesis test: - ✔✔Do not reject
Ha
A landscaping company claims that at most 90% of workers arrive on time. If a
hypothesis test is performed that rejects the null hypothesis, how would this decision be
(Complete Solutions 100% Correct)
What would be the result of a hypothesis test where test-statistic=1.00, p-value=0.1599
and α=.10? - ✔✔Do not reject Ho since p-value is not less than α
A manufacturer claims that their calculators are 6.800 inches long. A random sample of
39 of their calculators finds they have a mean of 6.812 inches with a standard deviation
of 0.03 inches. At α=0.08, can you support the manufacturer's claim using the p value? -
✔✔Claim is the null hypothesis, reject the null hypothesis and cannot support claim
as p-value (0.012) is less than alpha (0.08)
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 population standard deviation of $41. At α=0.10, can you
support the analyst's claim using the p-value? - ✔✔Claim is the alternative
hypothesis, fail to reject the null hypothesis as p-value (0.121) is not less than alpha
(0.10), and cannot support the claim
In a hypothesis test, the claim is μ>1137. A sample 50 has a mean of 1114.67 and a
population standard deviation of 20.3 from a normally distributed data set. 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 population standard deviation is known
What type of test would you perform for the following hypotheses:
Ho: μ = 23, Ha: μ ≠ 23 - ✔✔Two-tail test
A used car dealer says that the mean price of a three-year-old sport utility vehicle in
good condition is $18,000. A random sample of 20 such vehicles has a mean price of
, $18,450 and a standard deviation of $1930. At α=0.08, can the dealer's claim be
supported assuming the population is normally distributed? - ✔✔Yes, since the p-
value of 0.310 is greater than alpha of 0.08, the null is not rejected. The claim is the null,
so is supported
A researcher wants to determine if lead levels are different between the top of a glass
of water and the bottom of a glass of water. Many samples of water are taken. From
half, the lead level at the top is measured and from half, the lead level at the bottom is
measured. Would this be a valid matched pair test? - ✔✔No, as the measurements of
top and bottom should be from the same glass
A Type I error is committed when: - ✔✔The null hypothesis is true and we reject it.
Which of the following is true about Ho? - ✔✔It always contains a = sign
A state Department of Transportation claims that the mean wait time for various
services at its different location is more 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
7.6 minutes. At α=0.05, what would be the outcome of a hypothesis test for this claim? -
✔✔Reject Ho since p-value is less than alpha.
An executive claims that her employees spend no more than 2.5 hours each week in
meetings. Write the null and alternative hypotheses. - ✔✔Ho: μ = 2.5, Ha: μ > 2.5
Which of the following is not a valid outcome of a hypothesis test: - ✔✔Do not reject
Ha
A landscaping company claims that at most 90% of workers arrive on time. If a
hypothesis test is performed that rejects the null hypothesis, how would this decision be
