Suppose that students own an average of 7 pairs of jeans. 8 people from your class were surveyed to determine if the average for students at De Anza College is less than 7.

DATA TO USE 1, 3, 5, 5, 7, 9, 9, 10.

a. Give the null and alternative hypotheses: Ho: _____ Ha: _
b. In words, CLEARLY state what your random variable (Xbar) or P' represents, and indicate which random
variable ( (Xbar) or P') we are using here.
c. Give the distribution to use for the test. If t, include the degrees of freedom. If normal, include the mean and
standard deviation.

d. p-value =
e. In 1 - 2 complete sentences, explain what the p-value means for this problem.
f. Use the previous information to draw a graph of this situation. CLEARLY, label ( (Xbar) or P' ) 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.
g. Indicate the correct decision ("reject the null hypothesis" or "do not reject the null hypothesis") and write an
appropriate conclusion, using COMPLETE SENTENCES.
Decision:
Conclusion:
h. 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 on your graph.
Label the horizontal axis ( (Xbar) or P').
Confidence Interval: ( _ , _______ )

i. Interpret the confidence interval in a complete sentence

pur-new-sol

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