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Chapter 8: Q.7 (page 524)

A 90% confidence interval for the mean M of a population is computed from a random sample and is found to be 9 卤3. Which of the following could be the 95% confidence interval based on the same data?

(a) 9 卤1.96 (b) 9 卤2 (c) 9 卤3 (d) 9 卤4

(e) Without knowing the sample size, any of the above answers could be the 95% confidence interval.

Short Answer

Expert verified

confidence interval based on the same data is (d)9卤4

Step by step solution

01

introduction

we know,

the confidence interval is 95%

For calculating the mean population the confidence interval is

confidence interval = points estimate卤margin of error

02

explanation

confidence interval = points estimate卤margin of error

The width of the confidence interval is addressed by the safety buffer and the width is straightforwardly connected with the degree of confidence.

Here, in the event that 95%confidence level is utilized rather than 90%, the confidence interval would be more extensive which implies that the margin of error ought to be over 3. Thus, out of the relative multitude of choices, the confidence interval is 9卤4.

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Most popular questions from this chapter

You have an SRS of 23 observations from a Normally distributed population. What critical value would you use to obtain a 98% confidence interval for the mean M of the population if S is unknown?

(a) 2.508

(b) 2.500

(c) 2.326

(d) 2.183

(e) 2.177

Good wood? A lab supply company sells pieces of Douglas fir 4inches long and 1.5inches square for force experiments in science classes. From experience, the strength of these pieces of wood follows a Normal distribution with standard deviation 3000pounds. You want to estimate the mean load needed to pull apart these pieces of wood to within 1000pounds with 95%confidence. How large a sample is needed? Show your work.

- Understand how the margin of error of a confidence interval changes with the sample size and the level of confidence C.

Going to the prom Tonya wants to estimate what proportion of the seniors in her school plan to attend the prom. She interviews an SRS of 50 of the 750 seniors in her school and finds that 36 plan to go to the prom

AIDS and risk factors In the National AIDS

Behavioral Surveys sample of 2673adult heterosexuals, 0.2%had both received a blood transfusion and had a sexual partner from a group at high risk of A I D S. We want to estimate the proportion pin the population who share these two risk factors.

Auto emissions Refer to Exercise 6. Below your sketch, choose one value of x inside the shaded region and draw its corresponding confidence interval. Do the same for one value of x outside the shaded region. What is the most important difference between these intervals? (Use Figure 8.5, on page 474, as a model for your drawing.)
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