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3. You are given the sample...

3. 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. Which interval is wider? If the convenient, use technology to construct the confidence intervals.

A random sample of 38 eight-ounce servings of different juice drinks has a mean of 86.4 calories and a standard deviation of 46.9 calories.

The 90% confidence interval is ( _____,_____). (Round to one decimal places as needed.)

The 95% confidence interval is ( _____,_____). (Round to two decimal places as needed.)

4. You are given the sample mean and the sample standard deviation. Use this information to construct the 90% and 95% confidence intervals or the population mean. Interpret the results and compare the widths of the confidence intervals. If convenient, use technology to construct the confidence intervals.

A random sample of 45 home theater systems has a mean price of $129.00 and a standard deviation of $18.20

Construct a 90% confidence interval for the population mean.

The 90% confidence interval is (____,____).

(Round to two decimal places as needed.)

Construct a 95% confidence interval for the population mean.

The 95% confidence interval is (____,____).

(Round to two decimal places as needed.)

5. Construct the confidence interval for the population mean µ.

C= 0.95, x=16.7, s=5.0, and n=35

A 95% confidence interval for µ is _____, ______ (Round to two decimal places as needed.)

6. Construct the indicated confidence interval for the population mean µ using (a) a t-distribution. (b) If you had incorrectly used a normal distribution, which interval would be wider?

C= 0.99, x=14.8, s=2.0, n=9

(a) The 99% confidence interval using a t-distribution is (____,_____).

(Round to one decimal place as needed.)

7. In the following situation, assume the random variable is 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 construct the confidence interval.

(A) In a random sample of 10 adults from a nearby county, the mean waste generated

Per person per day was 3.77 pounds and the standard deviation was 1.16 pounds.

(B) Repeat part (a), assuming the same statistics came from a sample size of 600. Compare the results.

(a) For the sample of 10 adults, the 90% confidence intervals is (____,____).

(Round to two decimal places as needed.)

(b) For the sample of 600 adults, the 90% confidence intervals 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)

P=_____(Type an integer or a decimal)

16. In a survey of 639 males ages 18-64, 394 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 answers to the nearest thousandth as needed. Round all intermediate values to the nearest thousandth as needed.)

The 95% confidence interval for the population proportion p is _____ , _____.

(Round the final answers to the nearest thousandth as needed. Round all intermediate values to the nearest thousandth as needed.)

20. The table shows the results of a survey in which separate samples of 400 adults each from the East, South, Midwest, and West were asked if traffic congestion is a serious problem in their community. Complete parts (a) and (b)

(a)Construct a 95% confidence interval for the proportion of adults from the South who say traffic congestion is a serious problem.

The 95% confidence interval for the proportion of adults from the South who say traffic congestion is a serious problem is (___,___) (Round to three decimal places as needed.)

(b) Construct a 95% confidence interval for the proportion of adults from the East who say traffic congestion is a serious problem.

The 95% confidence interval for the proportion of adults from the East who say traffic congestion is a serious problem is (___,___) (Round to three decimal places as needed.)

East: 35%

South:32%

Midwest:27%

West:54%

A random sample of 38 eight-ounce servings of different juice drinks has a mean of 86.4 calories and a standard deviation of 46.9 calories.

The 90% confidence interval is ( _____,_____). (Round to one decimal places as needed.)

The 95% confidence interval is ( _____,_____). (Round to two decimal places as needed.)

4. You are given the sample mean and the sample standard deviation. Use this information to construct the 90% and 95% confidence intervals or the population mean. Interpret the results and compare the widths of the confidence intervals. If convenient, use technology to construct the confidence intervals.

A random sample of 45 home theater systems has a mean price of $129.00 and a standard deviation of $18.20

Construct a 90% confidence interval for the population mean.

The 90% confidence interval is (____,____).

(Round to two decimal places as needed.)

Construct a 95% confidence interval for the population mean.

The 95% confidence interval is (____,____).

(Round to two decimal places as needed.)

5. Construct the confidence interval for the population mean µ.

C= 0.95, x=16.7, s=5.0, and n=35

A 95% confidence interval for µ is _____, ______ (Round to two decimal places as needed.)

6. Construct the indicated confidence interval for the population mean µ using (a) a t-distribution. (b) If you had incorrectly used a normal distribution, which interval would be wider?

C= 0.99, x=14.8, s=2.0, n=9

(a) The 99% confidence interval using a t-distribution is (____,_____).

(Round to one decimal place as needed.)

7. In the following situation, assume the random variable is 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 construct the confidence interval.

(A) In a random sample of 10 adults from a nearby county, the mean waste generated

Per person per day was 3.77 pounds and the standard deviation was 1.16 pounds.

(B) Repeat part (a), assuming the same statistics came from a sample size of 600. Compare the results.

(a) For the sample of 10 adults, the 90% confidence intervals is (____,____).

(Round to two decimal places as needed.)

(b) For the sample of 600 adults, the 90% confidence intervals 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)

P=_____(Type an integer or a decimal)

16. In a survey of 639 males ages 18-64, 394 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 answers to the nearest thousandth as needed. Round all intermediate values to the nearest thousandth as needed.)

The 95% confidence interval for the population proportion p is _____ , _____.

(Round the final answers to the nearest thousandth as needed. Round all intermediate values to the nearest thousandth as needed.)

20. The table shows the results of a survey in which separate samples of 400 adults each from the East, South, Midwest, and West were asked if traffic congestion is a serious problem in their community. Complete parts (a) and (b)

(a)Construct a 95% confidence interval for the proportion of adults from the South who say traffic congestion is a serious problem.

The 95% confidence interval for the proportion of adults from the South who say traffic congestion is a serious problem is (___,___) (Round to three decimal places as needed.)

(b) Construct a 95% confidence interval for the proportion of adults from the East who say traffic congestion is a serious problem.

The 95% confidence interval for the proportion of adults from the East who say traffic congestion is a serious problem is (___,___) (Round to three decimal places as needed.)

East: 35%

South:32%

Midwest:27%

West:54%

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