A basketball manufacturer selects a random sample of its basketballs each week to ensure a consistent air pressure within them is maintained. In Week 1, the sample had a mean air pressure of 8.2 psi (pounds per square inch) and a margin of error of 0.1 psi. In Week 2, the sample had a mean air pressure of 7.7 psi and a margin of error of 0.3 psi. Based on these results, which of the following is a reasonable conclusion? A) Most of the basketballs produced in Week 1 had an air pressure under 8.2 psl, whereas most of the basketballs produced in Week 2 had an air pressure under 7.7 psi. B) The mean air pressure of all the basketballs produced in Week I was 0.5 psi more than the mean air pressure of all the basketballs produced in Week 2 C) The number of basketballs in the Week 1 sample was more than the number of basketballs in the Week 2 sample. D) It is very likely that the mean air pressure of all the basketballs produced in Week 1 was less than the mean air pressure of all the basketballs produced in Week 2.

Question

smartcreeper8138 smartcreeper8138

09-12-2022
Mathematics

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A basketball manufacturer selects a random sample of its basketballs each week to ensure a consistent air pressure within them is maintained. In Week 1, the sample had a mean air pressure of 8.2 psi (pounds per square inch) and a margin of error of 0.1 psi. In Week 2, the sample had a mean air pressure of 7.7 psi and a margin of error of 0.3 psi. Based on these results, which of the following is a reasonable conclusion? A) Most of the basketballs produced in Week 1 had an air pressure under 8.2 psl, whereas most of the basketballs produced in Week 2 had an air pressure under 7.7 psi. B) The mean air pressure of all the basketballs produced in Week I was 0.5 psi more than the mean air pressure of all the basketballs produced in Week 2 C) The number of basketballs in the Week 1 sample was more than the number of basketballs in the Week 2 sample. D) It is very likely that the mean air pressure of all the basketballs produced in Week 1 was less than the mean air pressure of all the basketballs produced in Week 2.

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Tutorconsortium704 Tutorconsortium704 · Answer 1 · 2022-12-19T08:16:46+01:00

B) The mean air pressure of all the basketballs produced in Week I was 0.5 psi more than the mean air pressure of all the basketballs produced in Week 2

What is manufacturer?

A manufacturer is a person or business that turns raw materials into completed products using a variety of tools, machinery, and procedures, and then sells those products to customers, wholesalers, distributors, retailers, or other manufacturers who can use them to make more complicated products.

A basketball manufacturer selects a random sample of its basketballs each week to ensure a consistent air pressure within them is maintained. In Week 1, the sample had a mean air pressure of 8.2 psi (pounds per square inch) and a margin of error of 0.1 psi. In Week 2, the sample had a mean air pressure of 7.7 psi and a margin of error of 0.3 psi. Based on these results, Option B, which states that the average air pressure of all basketballs created during week one was 0.5 psi higher than that of all basketballs produced during week two, is the right response.

Option C is not discussed in any detail.

Factually, Option D is inaccurate.

Because the margin of error would have been 0, Option A is wrong.

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