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ID: 3217738 • Letter: C
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C www.webassign netweb/student/Assignment-Responses 567516 c points i Previous Answers MBasesum 18 029 My Notes Ask nur Teacher software can generate samples from (almost) exactly Normal distributions. Here is a random sample of size 5 from the Normal distribution with mean 10 and standard deviation 2. 9,91 These data match the conditions for a z test better than real data will: the population is very close to Normal and has known standard deviation o 2, and the population mean is 10. Although we know the true value of u, suppose we pretend that we do not and we test the following hypotheses. (a) what is the z statistic? (Round your answer to two decimal places.) What is the P-value? (Round your answer to four decimal places.) Is the test significant at the 5% level? Yes, because the P-value of the test is larger than o.os. Yes, because the P value of the test is smaller than o.05. No, because the P-value of the test is larger than o.os, No, because the P value of the test is smaller than o os. (b) we know that the nulu hypothesis does not hold, but the test failed to give strong evidence against Ho-Explain why this is not surprising. The small sample size makes it difficult to detect a difference that is really there. The hypothesized mean is too close to the true mean. The small sample is the cause for this type terror. The sample varies too much to detect a difference that is really there may need to use the appropriate Appendix Table to answer this question. 1010 PMExplanation / Answer
Test of = 8 vs 8
The assumed standard deviation = 2
Variable N Mean StDev SE Mean 95% CI Z P
C1 5 9.540 2.770 0.894 (7.787, 11.293) 1.72 0.085
P-value > 0.05 we do not reject Ho so we conclude that test is not significant.
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