For Exercises 1-4, answer the questions: (a) Is this a one- or two-tailed test?

Question

For Exercises 1-4, answer the questions: (a) Is this a one- or two-tailed test? (b) What is decision rule? (c) What is the value of the test statistic? (d) What is your decision (e) What is the p-value? Interpret it. the egardingH 1. A sample of 36 observations is selected from a normal population. The sample mean is 49 and the population standard deviation is 5. Conduct the following test of hypothesis using the.05 significance level. H0: ?-50 sample of 36 observations is selected from a normal population. The sample mean is 12. the .01 significance level. and the population standard deviation is 3. Conduct the following test of hypothesis using Ho: ? 10 H: u> 10 A sample of g6

Explanation / Answer

Solution1a:

its a two tail test.

Since pop st deviation is given use z statistic

Z=sample mean-pop mean/pop stddev/sqrt(n)

=49-50/5/sqrt(36)

=-1/5/6

z=-1.2

p value=0.230139

p>alpha

Fail to Reject Null hypothesis

Accept H0

intrepret p:

significanct difference in means occurs only in 23% of cases (occurs by chance).

sample results are not unusual.

not a significant difference from the null hypothesis.

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