Mathematics, 02.03.2020 23:53 stricklandashley43
Front housing for cell phones are manufactured in an injection molding process. The time the part is allowed to cool in the mold is thought to influence the occurrence of a defect in the finished housing. After manufacturing, the parts are inspected visually and assigned a score between 1 and 10, based on their appearance, with 10 being perfect, and 1 being completely defective.
An experiment was conducted using two cool-down times, 10 and 20 seconds. A random sample of 20 housings was collected for each cool-down time. The data is:
10s 20s
1 7
2 8
1 5
3 9
5 5
1 8
5 6
2 4
3 6
5 7
3 6
6 9
5 5
3 7
2 4
1 6
6 8
8 5
2 8
3 7
Is there evidence to support the claim that longer cool down results in fewer appearance defects? Write the hypotheses using mathematical notation, derive the test statistic and write the distribution of the test statistic under the null hypothesis, compute the p-value and draw your conclusions. Use a=0.05.
Find a 95% confidence interval for the difference between the means (between the 10-second cool down sample, and the 20-second sample).
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Front housing for cell phones are manufactured in an injection molding process. The time the part is...
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