3. Find the margin of error for the given values ...

3. Find the margin of error for the given values of c, s, and n.
c= 0.90, s =3.5, n = 100
e=______(round to three decimal places as needed)

4. Construct the confidence interval for the population mean u.
c = 0.90, x =7.1, s =0.3, and n = 56
a 90% confidence interval for u is (____ , ____). (round to two decimal places as needed)

5.Construct the confidence interval for the population mean u.
c= 0.90, x = 16.6, s =9.0, and n = 60
A 90% confidence interval for u is (________ , _______). (round to one decimal place as needed).

6. Use the confidence interval to find the estimated margin of error. Then find the sample mean.
A biologist reports a confidence interval of (3.7, 4.1) when estimating the mean height(in centimeters) of a sample of seedlings.

The estimated margin of error is _______.

7.Find the minimum sample size n needed to estimate u for the given values of c, s, and E. c=0.98, s = 8.6, and E=2.
Assume that a preliminary sample has at least 30 members.
N=_____(round up to the nearest whole number).

8.You are given the sample mean and the sample standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the width of the confidence intervals. If confenient use technology to construct the confidence intervals.

A random sample of 60 home theaters systems has a mean price of $113.00 and a standard deviation is $16.10.

Construct a 90% confidence interval for the population mean.
The 90% confidence interval is (______ , ______). (round to two decimal places as needed)

9. You are given the sample mean and the sample standard deviation. Use the information to construct the 90% and 95 % confidence intervals for the population mean. Which interval is wider? If convenient use technology to construct the confidence intervals.
A random sample of 32 gas grills has a mean price of $636.90 and a standard deviation of $58.20.
The 90% confidence interval is (_______ , _______). ( round to two decimal places as needed)

10.. You are given the sample mean and the sample standard deviation. Use the information to construct the 90% and 95 % confidence intervals for the population mean. Which interval is wider? If convenient use technology to construct the confidence intervals.

A random sample of 42 eight ounceserviings of different juice drinks has a mean of 92.4 calories and a standard deviation of 47.2 calories.

The 90% confidence interval is (_______, _______). ( round to one decimal place as needed).

11.People were polled on how many books they read the previous year. How many subjects are needed to estimate the number of books read the previous year within one book with 95% confidence? Initial survery results indicate that o= 10.4 books.

A 95% confidence level requires ___ subjects. ( round up to the nearest whole number as needed).

12. A doctor wants to estimate the HDL cholesterol of all 20 to 29 year old females. How many subjects are neeed to estimate the HDL cholesterol within 4 points with 99% confidence assuming 0 = 13.9? Suppose the doctor would be content with 95% confidence. How does the decreae in confidence affect the sample size required.

A 99% confidence level requires _______ subjects.
(round up to the nearest whole number s needed)

13. Construct the indeicated confidence interval for the population mean u using (a) a t-distribution. (b) if you had incorrectly used a normal distribution which interval would be wider?
C=0.95, x = 12.7, s =4.0, n = 10
(a) the 95% confidence interval using a t-distribution is ( _______ , ______).
(round to one decimal places as needed)

14. In the following situation assume the random variableis normally distributed and use a normal distribution or a t-distribution to construct a 90% confidence interval for the population mean. If convenient use technology to contruct the confidence interval.
(a) in a random sample of 10 adults from a nearby county, the mean wase generated per person per day was 3.59 pounds and the standard deviation was 1.96 pounds.
(B) Repeat part (a) assuming the same statistics came from a sample size of 400 compare the results.
(a) for the sample of 10 adults the 90% confidence interval is (______ , _____ ) . ( round to two decimal places as needed).

15. Use the given confidence interval to find the margin of error and the sample proportion.
(0.728,0.754)
E=_______(type an integer or a decimal.)

16. In a survey of 645 males age 18-64, 392 say they have gone to the dentist in the past year.

Construct 90% and 95% confidence intervals for the population proportion. Interpret the results and compare the widths of the confidence intervals. If convenient use technology to construct the confidence intervals.

The 90% confidence interval for the population proportion p is (______, ______)
(round the final answer to the nearest thousandth as needed. Round all intermediate values to the nearest thousandth as needed)

17. In a survey of 6000 women, 3431 say they change their nail polish once a week. Construct a 95% confidence interval for the population proportion of women who change their nail polish once a week.
A 95% confidence interval for the population proportion is (_______ , _______).

18.A researcher wishes to estimate with 95% confidence the proportion of adults who have high speed internet access. Her estimate must be accurate with 4% of the true proportion.
a) find the minimum sample size neeed using a prior study that found that 54% of the respondent said they have high speed internet access.
b) no preliminary estimate is available. Find the minimum sample size needed.

a) what is the minimum sample size needed using a prior study that found that 54% of the respondents said they have high speed internet access?
N= ______ ( round up to the nearest whole number as needed)

19.The table to the right shows the results of a survey in which 2584 adults from country a , 1123 adults from country B and 1084 adults from country c were asked if human activity contributes to global warning. Complete parts(a)(b) and (c)

Country A 65%
Country B 87%
Country C 93%

(a) contructy a 90% confidence interval for the propotion of adults from country A who say human activity contributes to global warming.
(_______ , ______). ( round to three decimal places as needed)

20. the table show the results of a survey in which separate sampels of 400 adults each from east, south, Midwest and west were asked if traffic congestion is a serious problem in their community. Complete parts (a) and (B)
East 36%
South 31%
Midwest 25%
West 56%
(a) contruct a 95% conficence interval for the proportion of adults from the Midwest who say traffic congestion is a serious problem.
(b) The 95% confidence interval for the proportion of adults from the Midwest who say traffic congestion is a serious problem (______, _____)

(round to three decimal places as needed).


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