the question is attached

h715q x

1. Find the critical value that corresponds to the given confidence level.

83%

= (Round to two decimal places as needed.)

α=1-0.83 =0.17

α/2 =0.17/2 =0.085

TI-84 plus: invNorm(0.915)

^

2. Use the given confidence interval limits to find the point estimate p and the margin of error E.

(0.685,0.821)

^

p=__

3. Assume that a random sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level.

n=550, x=330, 95% confidence

The margin of error E=__. (Round to four decimal places as needed.)

4. Use the sample data and confidence level to construct the confidence interval estimate of the population proportion p.

n=500, x=35-, 90% confidence

__

5. Use the given data to find the minimum sample size required to estimate a population proportion or percentage. ^ ^

Margin of error: 0.05; confidence level 90%; p and q unknown

n=___ (Round up to the nearest integer.)

σ

6. Calculate the margin of error E=.___ if the necessary requirements are satisfied.

The confidence level is 99%, the sample size is n=115, and σ=15

Are the necessary requirements satisfied?

Yes or No

_

7. Salaries of 46 college graduates who took a statistics course in college have a mean, x, of $69,500. Assuming a standard deviation, σ, of $18,975, construct a 95% confidence interval for estimating the population mean µ.

$__<µ<$__ (Round to the nearest integer as needed.)

8. Use the given margin of error, confidence level, and population standard deviation, σ, to find the minimum sample size required to estimate an unknown population mean, µ.

Margin of error: 0.2 inches, confidence level: 95%, σ=2.2 inches

A confidence level of 95% requires a minimum sample size of __. (Round up to the nearest integer.)

9. The data shown below results from using a random sample of speeds of drivers ticketed on a section of an interstate. Using the display, identify the value of the point estimate of the population mean µ.

Variable N Mean StDev SE Mean 95% CI

Speed 76 65.0255 0.2591 0.2591 (64.5177, 65.5333)

The point estimate of the population mean µ is ___. (Type an integer or a decimal.)

10. When fourteen different second-year medical students measured the blood pressure of the same person, they obtained the results listed below. Assuming that the population standard deviation is known to be 13 mmHg, construct and interpret a 95% confidence interval estimate of the population mean.

133 129 130 138 139 126 146 131 136 143 143 136 132 146

What is the 95% confidence interval for the population mean µ?

___<µ<___ (Round to one decimal place as needed.)

11. An IQ test is designed so that the mean is 100 and the standard deviation is 21 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 99% confidence that the sample mean is within 8 IQ points of the true mean. Assume that σ=21 and determine the required sample size.

n=___ (Round up to the nearest integer.)

12. Do one of the following, as appropriate. (a) Find the critical value (b) find the critical value (c) state that neither the normal nor the t distribution applies.

Confidence level 95%; n=23, σ is unknown; population appears to be normally distributed.

Find the critical value.

a) =1.65 area=0.4505x 2 x100 =90%

b) =1.717 df =22, 95%

c) =1.96, area= 0.4750 x2 x 100 =95%

d) =2.074 df=22,97.5%

e) Neither normal nor t distribution applies.

13. Do one of the following, as appropriate. (a) Find the critical value (b) find the critical value (c) state that neither the normal nor the t distribution applies.

Confidence level 90%; n=24, σ is unknown; population appears to be very skewed.

Find the critical value.
a) =1.65 area=0.4505x 2 x100 =90%

b) =1.319 df=23, 90%

c) =1.714 df=23, 95%

d) =1.28 area = 0.3997 x 2x 100= 80%

e) Neither normal nor t distribution applies. No critical value

14. Use the given confidence level and sample data to find (a) the margin of error and (b) the confidence interval for the population mean µ. Assume that the population has a normal distribution. _

Weight lost on a diet: 85% confidence; n=61, x=4.0 kg, s=5.1 kg.

a) E=___ kg (Round to one decimal place as needed.)

15. A physician wants to develop criteria for determining whether a patient’s pulse rate is atypical, and she wants to determine whether there are significant differences between males and females. Use the sample pulse rates below.

Male 96 76 60 88 72 72 60 60 64 56

Female 64 104 96 64 84 60 68 88 88 124

a) Construct a 95% confidence interval estimate of the mean pulse rate for males.

___<µ<___ (Round to one decimal place as needed.)