Fill out the answer sheet for each of the hypothesis tests below, using a 5% level of significance. Use 4 decimal places, unless the p-value is really small (less than 0.0001), in which case use at least 2 significant figures This means 2 non-zero numbers somewhere after the decimal point). Axis of graphs should be drawn with a ruler or done on a computer. Each part b should indicate which of or P' you are using (circle one) Each part b should clearly state what your population is, and contain the word "proportion" or "average" Each part c should give the degrees of freedom (if student-t distribution) or BOTH the mean and standard deviation (if normal distribution). 2. Jeans Survey 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: 0, 2, 4, 5, 6, 8, 8, 10

a. Give the null and alternative hypotheses: Ho: _______________ Ha: ___________________

b. In words, CLEARLY state what your random variable or P' represents.

c. State 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 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.

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. Confidence Interval: ( ___________________ , ___________________ ) i. Interpret the confidence interval in a complete sentence.