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A simple random sample of 60 items resulted in a sample mean of 67. The population standard deviation is 16.

a. Compute the 95% confidence interval for the population mean (to 1 decimal).

b. Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean (to 2 decimals).

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Joshua Stredder
Joshua StredderLv10
28 Sep 2019

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Related questions

The USA Today reports that the average expenditure on Valentine's Day is $100.89.Do male and female consumers differ in the amounts they spend? The average expenditure in a sample survey of 30 female consumers was $68.64, and the average expenditure in a sample survey of 40 male consumers was 135.67. Based on past surveys, the standard deviation for male consumers is assumed to be $35, and the standard deviation for female consumers is assumed to be $20.

a. What is the point estimate of the difference between the population mean expenditure for males and the population mean expenditure for females?

b.At 99% confidence, what is the Margin of Error?

c.Develop a 99%confidence interval for the difference between two population means.   

A sample of 42 observations is selected from one population with a population standard deviation of 3.1. The sample mean is 101.0. A sample of 52 observations is selected from a second population with a population standard deviation of 4.0. The sample mean is 99.8. Conduct the following test of hypothesis using the 0.04 significance level.
H0 : ?1 = ?2
H1 : ?1 ? ?2

(b)

State the decision rule. (Negative amounts should be indicated by a minus sign. Round your answer to 2 decimal places.)
The decision rule is to reject H0 if z is outside the interval (, ).

(c) Compute the value of the test statistic. (Round your answer to 2 decimal places.)

Value of the test statistic

(e) What is the p-value? (Round your answer to 4 decimal places.)

p-value

1. The width of a confidence interval estimate for a proportion will be:

a. narrower for 90% confidence than for 95% confidence.

b. wider for a sample size of 100 than for a sample size of 50.

c. narrower for 99% confidence than for 95% confidence.

d. narrower when the sample proportion if 0.50 than when the sample proportion is 0.20.

2. When determining the sample size needed for a proportion for a given level of confidence and sampling error, the closer to 0.50 that p is estimated to be:

a. the smaller the sample size required.

b. the larger the sample size required.

c. the sample size is not affected.

d. the effect cannot be determined from the information given.

3. Which of the following would be an appropriate alternative hypothesis?

a. The population proportion is less than 0.65.

b. The sample proportion is less than 0.65.

c. The population proportion is equal to 0.65.

d. The sample proportion is equal to 0.65.

4. Which of the following would be an appropriate null hypothesis?

a. The population proportion is equal to 0.60.

b. The sample proportion is equal to 0.60.

c. The population proportion is not equal to 0.60.

d. All of these choices are true.
Expected Responses
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