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Chapter 8: Q.46 (page 479)

Which distribution should you use for this problem?

Short Answer

Expert verified

The distribution required for this problem is t distribution with parameterstn-1

Step by step solution

01

Given information

Given in the question that, One hundred eight Americans were surveyed to determine the number of hours they spend watching television each month.

We have to find which distribution should you use for this problem?

02

Explanation

They watched an average of 151hours per month on average, with a standard variation of 32hours. Assume that the population distribution is normally distributed. Because there are 108Americans in the poll.

So, the distribution is t108-1=t107

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Most popular questions from this chapter

You do a study of hypnotherapy to determine how effective it is in increasing the number of hours of sleep subjects get each night. You measure hours of sleep for 12subjects with the following results. Construct a 95% confidence interval for the mean number of hours slept for the population (assumed normal) from which you took the data. 8.2; 9.1; 7.7; 8.6; 6.9; 11.2; 10.1; 9.9; 8.9; 9.2; 7.5; 10.5

Construct a 99%confidence interval for the population mean hours spent watching television per month.

(a) State the confidence interval

(b) sketch the graph, and

(c) calculate the error bound.

The 95% confidence interval is:__________________.

Suppose average pizza delivery times are normally distributed with an unknown population mean and a population standard deviation of six minutes. A random sample of 28pizza delivery restaurants is taken and has a sample mean delivery time of 36minutes.

Find a 90% confidence interval estimate for the population mean delivery time.

Suppose that 14children, who were learning to ride two-wheel bikes, were surveyed to determine how long they had

to use training wheels. It was revealed that they used them an average of six months with a sample standard deviation of

three months. Assume that the underlying population distribution is normal.

a.i.x虅=__________ii.sx=__________iii.n=__________iv.n鈥�1=__________

b. Define the random variable Xin words.

c. Define the random variable Xin words.

d. Which distribution should you use for this problem? Explain your choice.

e. Construct a 99%confidence interval for the population mean length of time using training wheels.

i. State the confidence interval.

ii. Sketch the graph.

iii. Calculate the error bound.

f. Why would the error bound change if the confidence level were lowered to 90%?
See all solutions

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