The following information is available. H0 : 220 H1 : < 220 A sample of 64 obser
ID: 3154937 • Letter: T
Question
The following information is available. H0 : 220 H1 : < 220 A sample of 64 observations is selected from a normal population. The sample mean is 215, and the population standard deviation is 15. Conduct the following test of hypothesis using the .025 significance level. a. Is this a one- or two-tailed test? Two-tailed test One-tailed test b. What is the decision rule? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.) H0 when z < c. What is the value of the test statistic? (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.) Value of the test statistic d. What is your decision regarding H0? Reject Do not reject e. What is the p-value? (Round your answer to 4 decimal places.) p-value
Explanation / Answer
a) one tail test
decision rule : reject Ho if Z < -1.96
Z= ( 215 - 220 ) / ( 15 / srqt 64 )
Z = -2.67
we reject Ho
p value : 0.00379 fromt ables of normal distribution
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