Chapter 7.2, Problem 17E

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9th Edition

Jay L. Devore

ISBN: 9781305251809

Textbook Problem

Exercise 1.13 gave a sample of ultimate tensile strength observations (ksi). Use the accompanying descriptive statistics output from Minitab to calculate a 99% lower confidence bound for true average ultimate tensile strength, and interpret the result.

N | Mean | Median | TrMean | StDev | SE Mean |

153 | 135.39 | 135.40 | 135.41 | 4.59 | 0.37 |

Minimum | Maximum | Q1 | Q3 |

122.20 | 147.70 | 132.95 | 138.25 |

To determine

Find the 99% lower confidence bound for the population mean ultimate tensile strength.

Explanation

**Given info:**

The data represents the summary statistics for a sample of ultimate tensile strength.

**Calculation:**

*Critical value*:

For 99% level of confidence,

From Table A.3 of the standard normal distribution in Appendix , the critical value is 2.33.

Thus, the critical value is

*Point estimate:*

Point estimate is the single value obtained from point estimation on a set of sample data as a parameter for the population.

The point estimate of the population mean

From the MINITAB, the sample mean ultimate tensile strength is

Sect-7.1 P-1ESect-7.1 P-2ESect-7.1 P-3ESect-7.1 P-4ESect-7.1 P-5ESect-7.1 P-6ESect-7.1 P-7ESect-7.1 P-8ESect-7.1 P-9ESect-7.1 P-10E

Sect-7.1 P-11ESect-7.2 P-12ESect-7.2 P-13ESect-7.2 P-14ESect-7.2 P-15ESect-7.2 P-16ESect-7.2 P-17ESect-7.2 P-18ESect-7.2 P-19ESect-7.2 P-20ESect-7.2 P-21ESect-7.2 P-22ESect-7.2 P-23ESect-7.2 P-24ESect-7.2 P-25ESect-7.2 P-26ESect-7.2 P-27ESect-7.3 P-28ESect-7.3 P-29ESect-7.3 P-30ESect-7.3 P-31ESect-7.3 P-32ESect-7.3 P-33ESect-7.3 P-34ESect-7.3 P-35ESect-7.3 P-36ESect-7.3 P-37ESect-7.3 P-38ESect-7.3 P-39ESect-7.3 P-40ESect-7.3 P-41ESect-7.4 P-42ESect-7.4 P-43ESect-7.4 P-44ESect-7.4 P-45ESect-7.4 P-46ECh-7 P-47SECh-7 P-48SECh-7 P-49SECh-7 P-50SECh-7 P-51SECh-7 P-52SECh-7 P-53SECh-7 P-54SECh-7 P-55SECh-7 P-56SECh-7 P-57SECh-7 P-58SECh-7 P-59SECh-7 P-60SECh-7 P-61SECh-7 P-62SE

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