Question

3) The IRS claims that the mean amount of time it takes to transfer information to a computer record is 15 minutes. Before they will invest in a new system they decide to do a test run to determine if the new system is faster than the present one. 25 tax returns are randomly selected and transferred using the new system. The mean time for transfer is 14.3 minutes, with standard deviation 4.2 minutes. At a level of significance of 5% should the IRS invest in the new system?

a) find the critical z-score(s) or t-score(s)

b) compute the test statistic

c) state whether or not to reject the null hypothesis

d) answer the question posed at the end of each problem

Answer #1

For the question (2), please a. Formulate the null and
alternative hypotheses. b. Calculate the expected results for the
hypothesis test assuming the null hypothesis is true and determine
the hypothesis test model. c. Label the diagram with mean, level of
significance, reject and fail to reject area. d. Formulate the
decision rule. e. Use the experimental outcome to determine the
conclusion. f. Answer the question addressed in the problem. (2)
The IRS claims that the mean amount of time...

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A delivery company claims that the mean time it takes to deliver
frozen food between two particular cities is 4 hours. A consumer
advocacy group wishes to show at the 5% level that the mean time is
greater than 4 hours. A random sample of 50 deliveries yielded a
sample mean of 4.2 hours with a standard deviation
of 0.5 hours.
1. Set up the null and alternative hypotheses.
2. Compute the test statistic.
3. State the p-value for the...

The commercial for the new Meat Man Barbecue claims that it
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found that their average time was 6.5 minutes. The standard
deviation for this survey group was 3.6 minutes. What can be
concluded at the the αα = 0.01 level of significance level of
significance?
For this study,...

A pizza place recently hired additional drivers and as a result
now claims that its average delivery time for orders is under 45
minutes. A sample of 40 customer deliveries was examined, and the
average delivery time was found to be 40.2 minutes. Historically,
the standard deviation for delivery time is 10.5 minutes. Using
alpha=0.01, complete parts a and b below. a. Does this sample
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the pizza place? Determine...

An employment information service claims the mean annual pay
for full-time male workers over age 25 without a high school
diploma is $22,300.The annual pay for a random sample of 10
full-time male workers over age 25 without a high school diploma
is listed. At α=0.10, test the claim that the mean salary is
$22,300. Assume the population is normally distributed.
20,651 21,135 22,350 21,396 22,974 16,916 19,150 23,190 24,189
26,286
(a) Write the claim mathematically and identify Ho and...

The commercial for the new Meat Man Barbecue claims that it
takes 9 minutes for assembly. A consumer advocate thinks that the
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randomly selected people who purchased the Meat Man Barbecue and
found that their average time was 8.5 minutes. The standard
deviation for this survey group was 2.3 minutes. What can be
concluded at the the αα = 0.10 level of significance level of
significance?
For this study,...

The commercial for the new Meat Man Barbecue claims that it
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A researcher claims that a post-lunch nap decreases the amount
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alphaαequals=0.01,
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(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...

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