Question

A leasing firm claims that the mean number of miles driven annually, μ , in its...

A leasing firm claims that the mean number of miles driven annually,

μ

, in its leased cars is less than

13160

miles. A random sample of

19

cars leased from this firm had a mean of

12833

annual miles driven. It is known that the population standard deviation of the number of miles driven in cars from this firm is

1980

miles. Assume that the population is normally distributed. Is there support for the firm's claim at the

0.1

level of significance?

Perform a one-tailed test. Then fill in the table below.

Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table.

The null hypothesis:

H0:

The alternative hypothesis:

H1:

The type of test statistic: (Choose one)ZtChi squareF
The value of the test statistic:
(Round to at least three decimal places.)
The critical value at the

0.1

level of significance:
(Round to at least three decimal places.)
Can we support the leasing firm's claim that the mean number of miles driven annually is less than 13160 miles? Yes No

Homework Answers

Answer #1

Given:

= 13160, n = 19, = 12833, = 1980, = 0.1

Hypothesis:

Ho: = 13160

Ha: < 13160

The Type of test statistic: Z test

Test statistic:

Critical value:

Z =Z0.1 = -1.282              ..................Using standard Normal table

Conclusion:

Z > Z , i.e. -0.720 > -1.282, That is Fail to Reject Ho at 1% level of significance.

ANSWER: B

No

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A leasing firm claims that the mean number of miles driven annually, μ, in its leased...
A leasing firm claims that the mean number of miles driven annually, μ, in its leased cars is less than 12580 miles. A random sample of 50 cars leased from this firm had a mean of 12291 annual miles driven. It is known that the population standard deviation of the number of miles driven in cars from this firm is 1740 miles. Is there support for the firm's claim at the 0.01 level of significance? Perform a one-tailed test. Then...
A leasing firm operates on the assumption that the annual number of miles driven in its...
A leasing firm operates on the assumption that the annual number of miles driven in its leased cars is normally distributed with mean 13,500 and standard deviation 4000 miles. To see whether this assumption is valid, a random sample of 36 one-year-old cars has been checked. What conclusion can you draw if the average mileage on these 36 cars is 15,233?
An automobile assembly line operation has a scheduled mean completion time, μ, of 13.5 minutes. The...
An automobile assembly line operation has a scheduled mean completion time, μ, of 13.5 minutes. The standard deviation of completion times is 1.4 minutes. It is claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of 26 completion times under new management was taken. The sample had a mean of 13.2 minutes. Assume that the population is normally distributed. Can we support, at the 0.05 level of significance, the claim that...
IQ scores among the general population have a mean of 100 and a standard deviation of...
IQ scores among the general population have a mean of 100 and a standard deviation of 15 . A researcher claims that the standard deviation, σ , of IQ scores for males is less than 15 . A random sample of 16 IQ scores for males had a mean of 98 and a standard deviation of 10 . Assuming that IQ scores for males are approximately normally distributed, is there significant evidence (at the 0.1 level of significance) to conclude...
A laboratory claims that the mean sodium level, μ , of a healthy adult is 141...
A laboratory claims that the mean sodium level, μ , of a healthy adult is 141 mEq per liter of blood. To test this claim, a random sample of 26 adult patients is evaluated. The mean sodium level for the sample is 144 mEq per liter of blood. It is known that the population standard deviation of adult sodium levels is 11 mEq. Assume that the population is normally distributed. Can we conclude, at the 0.05 level of significance, that...
According to the U.S. Federal Highway Administration, the mean number of miles driven annually is 12,200...
According to the U.S. Federal Highway Administration, the mean number of miles driven annually is 12,200 with a standard deviation of 3800 miles. A resident of the state of Montana believes the drivers in Montana drive more than the national average. She obtains a random sample of 35 drivers from a list of registered drivers in the state and finds the mean number of miles driven annually for these drivers to be 12,895.90. Is there sufficient evidence to show that...
A recent study at a local college claimed that the proportion, p , of students who...
A recent study at a local college claimed that the proportion, p , of students who commute more than fifteen miles to school is no more than 20% . If a random sample of 275 students at this college is selected, and it is found that 68 commute more than fifteen miles to school, can we reject the college's claim at the 0.1 level of significance? Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations...
A recent study at a local college claimed that the proportion, p, of students who commute...
A recent study at a local college claimed that the proportion, p, of students who commute more than fifteen miles to school is no more than 15%. If a random sample of 260students at this college is selected, and it is found that 42 commute more than fifteen miles to school, can we reject the college's claim at the 0.1 level of significance? Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least...
D5: According to the US Federal Highway Administration, the mean number of miles driven annually is...
D5: According to the US Federal Highway Administration, the mean number of miles driven annually is 12,200. A state official claims that residents of her state drive more than the national average. A simple random sample of 37 drivers from this state are selected. The mean number of miles driven for this sample of 37 drivers is 12,861.7 and the sample standard deviation was 2,200 miles. Is this a hypothesis test for a mean or a proportion? How do you...
INCLUDE DEGREE OF FREEDOM IF ANYTHING OTHER THAN Z. A psychologist specializing in marriage counseling claims...
INCLUDE DEGREE OF FREEDOM IF ANYTHING OTHER THAN Z. A psychologist specializing in marriage counseling claims that, among all married couples, the proportion p for whom her communication program can prevent divorce is at least 77% . In a random sample of 225 married couples who completed her program, 168 of them stayed together. Based on this sample, can we reject the psychologist's claim at the 0.1 level of significance? Perform a one-tailed test. Then fill in the table below....
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT