Question

Suppose that students own an average of 4 pairs of jeans. 8 people from your class were surveyed to determine if the average for students in college is higher than 4.

DATA TO USE: 3, 4, 4, 5, 5, 5, 7, 12

A) In words, CLEARLY state what your random variable X or P' represents.

B) State the distribution to use for the test. If t, include the degrees of freedom. If normal, include the mean and

standard deviation.

C) p-value = ______________ In 1 – 2 complete sentences, explain what the p-value means for this problem.

D) Sketch a picture of this situation. CLEARLY, label and scale the horizontal axis and shade the region(s) corresponding to the p-value. The values of your sample statistic and the hypothesized value of the population parameter should be on the axis.

E) Indicate the correct decision (“reject” or “do not reject” the null hypothesis), the reason for it, and write an appropriate conclusion, using COMPLETE SENTENCES. Decision: Conclusion:

F) Construct a 95% Confidence Interval for the true mean or proportion. Include a sketch of the graph of the situation. Label the point estimate and the lower and upper bounds of the Confidence Interval.

G) Confidence Interval: ( ___________________ , ___________________ )

Interpret the confidence interval in a complete sentence

Answer 1

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Poge ON Given data ) S.625 S 2.253, n=8 -tast Tha Vs słatistic t) Tegt -S-6a5-4 T, dt >>P- Vala O 0139 The gion oves pordig Sida ight P-valua dl627 Oti bution plot E) tan Sine P- valua to efect lo.Os we fail Signif anta avet Canclude tat to insufficient eviderle Theo groat tPan 4. Sunple Confidanto intun ( 3.263 ,3.97) S623 2.36r/ 2-825 ties populahon man .987 3.263 ard Detwaan