Questions
BTRY3010/BTRY5010/STSCI2200/STSCI5200 Lecture #26 Pages ( 126 - 129, 134 )
Multiple choice
A paint manufacturer wishes to compare the drying times of two different types of paint. Independent random samples of 11 cans of type A (POP 1) and 9 cans of type B (POP 2) were selected and applied to similar surfaces. The drying times (in hours) were recorded. The summary statistics are as follows. Pop 1 Pop 2 Samp. Mean 7843 98323 Samp. SD 231 21 Samp Size Use a 0.01 significance level to test the claim that the mean drying time for paint type A is NOT equal to the mean drying time for paint type B. WhAT WOULD BE THE HYPOTHESES FOR THIS TEST? c08.p084.q006
Options
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Step-by-Step Analysis
The question asks for the hypotheses to test whether the mean drying times of two paint types differ, using a 0.01 significance level.
First, I will restate the given options so we can evaluate them clearly:
- Option 1: H0: μ1 = μ2
- Option 2: H1: μ1 ≠ μ2
- Option 3: H1: μ1 < μ2
- Option 4: H1: p1 ≠ p2
- Option 5: H0: p1 = p2
- Option 6: H0: μ1 = μ2
- Option 7: H1: μ1 > μ2
- Option 8: H1: p1 < p2
Now, examine each option one by one:
Option 1 — H0: μ1 = μ2:
This states the null hypothesis that the population means of the two paints are equal. In a......Login to view full explanationLog in for full answers
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A researcher was interested in comparing the response times of two different cab companies. Companies A and B were each called at 50 randomly selected times. The calls to company A were made independently of the calls to company B. The response times for each call were recorded. The summary statistics were as follows: Use a 0.01 significance level to test the claim that the mean response time for company A is the same as the mean response time for company B. Based on the sample standard deviations, it seems safe to assume that the variances are the same. The data is listed below. Complete the following analysis. 1. This is a [ Select ] right two left -tailed test. 2. The test statistic is equal to t=2.248 . 3. The P-value is equal to [ Select ] 0.08211405 0.02681 0.09728 . 4. [ Select ] Fail to reject Reject the null hypothesis. 5. At the 1% significance level, it [ Select ] appears that does not appear that the mean response time for company A is different from the mean response time for Company B. A - 6.424 , 7.768 , 6.088 , 10.12 , 7.936 , 6.088 , 8.272 , 8.608 , 8.44 , 6.928 , 9.952 , 8.104 , 6.424 , 3.736 , 9.28 , 7.432 , 7.432 , 8.944 , 8.776 , 8.44 , 8.944 , 8.776 , 7.6 , 4.072 , 8.44 , 7.264 , 7.096 , 4.912 , 6.592 , 8.104 , 9.784 , 7.264 , 8.104 , 7.264 , 5.08 , 6.76 , 6.76 , 7.264 , 9.28 , 8.776 , 7.096 , 6.928 , 8.608 , 8.44 , 6.256 , 6.256 , 8.104 , 8.776 , 7.264 , 8.944 B - 7.376 , 5.625 , 7.2009 , 4.7495 , 9.127 , 10.1776 , 5.9752 , 4.9246 , 7.7262 , 6.5005 , 10.878 , 6.6756 , 7.9013 , 6.6756 , 5.4499 , 7.0258 , 3.5238 , 9.3021 , 7.0258 , 10.5278 , 7.5511 , 5.4499 , 7.7262 , 5.0997 , 4.3993 , 7.2009 , 5.9752 , 6.6756 , 6.8507 , 5.625 , 5.625 , 6.5005 , 8.7768 , 4.0491 , 7.7262 , 7.2009 , 8.6017 , 6.1503 , 7.376 , 7.2009 , 5.8001 , 8.7768 , 8.7768 , 7.9013 , 9.4772 , 7.7262 , 4.3993 , 5.625 , 4.5744 , 5.8001 c08.p084.q012
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