Question

The label on a package of cords claims that the breaking strength of a cord is 3.5 pounds, but a hardware store owner believes the real value is less. She plans to test 36 such cords; if their mean breaking strength is less than 3.25 pounds, she will reject the claim on the label. If the standard deviation for the breaking strengths of all such cords is 0.9 pounds, what is the probability of mistakenly rejecting a true claim?

Name: the label on a package of cords claims that the breaking strength of a cord is 35 pounds but a hardware store owner believes the real value is less she plans to test 36 such cords if their mean breaki
Uploaded: 2022-08-08T17:57:46-08:00
Duration: 1 min 33 s
Channel: Jason Huang
Description: the label on a package of cords claims that the breaking strength of a cord is 35 pounds but a hardware store owner believes the real value is less she plans to test 36 such cords if their mean breaki

          The label on a package of cords claims that the breaking strength of a cord is 3.5 pounds, but a hardware store owner believes the real value is less. She plans to test 36 such cords; if their mean breaking strength is less than 3.25 pounds, she will reject the claim on the label. If the standard deviation for the breaking strengths of all such cords is 0.9 pounds, what is the probability of mistakenly rejecting a true claim?

Added by Harizz K.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Jason Huang

08/08/2022

Step 1

25 pounds. Given that the mean breaking strength is 3.25 pounds, the population mean is 3.5 pounds, the standard deviation is 0.9 pounds, and the sample size is 36, we can calculate the z-score as follows: \[ z = \frac{3.25 - 3.5}{0.9/\sqrt{36}} = Show more…

Show all steps

Thanks for your feedback!

The label on a package of cords claims that the breaking strength of a cord is 3.5 pounds, but a hardware store owner believes the real value is less. She plans to test 36 such cords; if their mean breaking strength is less than 3.25 pounds, she will reject the claim on the label. If the standard deviation for the breaking strengths of all such cords is 0.9 pounds, what is the probability of mistakenly rejecting a true claim?