3. The following observations were made on fracture toughness of base plate of 18% nickel maraging steel in ksi vin. 69.5 71.9 72.6 73.1 73.3 73.5 75.5 75.7 75.8 76.1 76.2 76.2 77.0 77.9 78.1 79.6 79.7 79.9 80.1 82.2 83.7 93.7 (a) Explain why the t-curve is more appropriate than the z-curve in this case. (b) Find the 99% lower confidence bound of the mean fracture toughness. (c) Find the 95% confidence interval.

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Chapter1: Combinatorial Analysis
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Name:
1. According to a report published by Gallup Institute on February 20, 2020, based on
the interview that took place between February 3 and February 16, 77% of 1,028 randomly
selected American adults felt they were generally confident in the federal government's ability
to handle a potential corona-virus outbreak. Find the 98% confidence interval.
2. In 1995, Cook County, Illinois (1.4 million households), conducted a study to determine
how far the head of household travels to work. A simple random sample of 2,518 households
was chosen and the occupants were interviewed. The survey found that the mean commuting
time for the head of households was 42.6 minutes and the standard deviation was 16.7
minutes.
(a) Explain why the normal distribution (z-distribution) is appropriate for the inferential
analyses in this case.
(b) Estimate the 95% confidence interval for the true mean commuting time of of the head
of households in Cook County.
(c) Estimate the 95% upper confidence bound.
3. The following observations were made on fracture toughness of base plate of 18% nickel
maraging steel in ksi Vin.
69.5 71.9 72.6 73.1 73.3 73.5 75.5 75.7 75.8 76.1 76.2
76.2 77.0 77.9 78.1 79.6 79.7 79.9 80.1 82.2 83.7 93.7
(a) Explain why the t-curve is more appropriate than the z-curve in this case.
(b) Find the 99% lower confidence bound of the mean fracture toughness.
(c) Find the 95% confidence interval.
Transcribed Image Text:ZOOM + Name: 1. According to a report published by Gallup Institute on February 20, 2020, based on the interview that took place between February 3 and February 16, 77% of 1,028 randomly selected American adults felt they were generally confident in the federal government's ability to handle a potential corona-virus outbreak. Find the 98% confidence interval. 2. In 1995, Cook County, Illinois (1.4 million households), conducted a study to determine how far the head of household travels to work. A simple random sample of 2,518 households was chosen and the occupants were interviewed. The survey found that the mean commuting time for the head of households was 42.6 minutes and the standard deviation was 16.7 minutes. (a) Explain why the normal distribution (z-distribution) is appropriate for the inferential analyses in this case. (b) Estimate the 95% confidence interval for the true mean commuting time of of the head of households in Cook County. (c) Estimate the 95% upper confidence bound. 3. The following observations were made on fracture toughness of base plate of 18% nickel maraging steel in ksi Vin. 69.5 71.9 72.6 73.1 73.3 73.5 75.5 75.7 75.8 76.1 76.2 76.2 77.0 77.9 78.1 79.6 79.7 79.9 80.1 82.2 83.7 93.7 (a) Explain why the t-curve is more appropriate than the z-curve in this case. (b) Find the 99% lower confidence bound of the mean fracture toughness. (c) Find the 95% confidence interval.
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