Calculate the confidence intervals

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Reference no: EM132844712

1. Use the sample information ×=40, σ = 4, n = 20 to calculate the following confidence intervals for µ assuming the sample is from a normal population.

90 percent confidence. (Round your answers to 4 decimal places.)

The 90% confidence interval is from ___ to ___

95 percent confidence. (Round your answers to 4 decimal places.)

The 95% confidence interval is from ___ to ___

99 percent confidence. (Round your answers to 4 decimals places.)

The 99% confidence interval is from ___ to ___

2. The bail corporation's beverage can manufacturing plant in Fort Atkinson, Wisconsin, uses a metal supplier that provides metal with a known thickness standard deviation σ = .000952 mm. Assume a random sample of 59 sheets of metal resulted in an X = .3354 mm.

Calculate the 99% confidence interval for the true mean metal thickness. (Round your answers to the 4 decimal places.)

The 99% confidence interval is from ___ to ___

3. A Random Sample of 13 items is drawn from a population whose standard deviation is unknown. The sample mean is × = 950 and the sample standard deviation is s= 10. Use Appendix D to find the values of Student's t.

A. Construct an interval estimate of µ with 99% confidence. (Round your answers to 3 decimal places.)

The 99% confidence interval is from ___ to ___

B. Construct an interval estimate of µ with 99% confidence, assuming that s= 20. (Round your answers to 3 decimals places.)

The 99% confidence interval is from ___ to ___

C. Construct an interval estimate of µ with 99% confidence, assuming that s=40. (Round your answers to 3 decimal places)

The 99% confidence interval is from ___ to ___

4. A random Sample of 16 pharmacy customers showed the waiting times below (in minutes).

16 17 20 24 17 11 13

19 18 16 24 21 21 20

Find the 90% confidence interval for µ, assuming that the sample is from a normal population. Round your standard deviation answer to 4 decimal places and t-value to 3 decimal places,. Round your answers to 3 decimal places.)

5. Calculate the standard error.

N=27, π = .24

N = 56, π = .43

N = 123, π = .47

N = 578, π = .004

6. Of 41 banks customers depositing a check, 22 received some cash back.

Construct a 90 percent confidence interval for the proportion of all depositors who ask for cash back. (Round your answers to 4 decimal places.)

Reference no: EM132844712

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