Directions for Activities #3- (10 points each):Perform a hypothesis test and calculate a confidence interval including each of the following steps:

STEP 1:Type of Test and Requirements (2 points):

State the type of test that is appropriate for the problem and why.

Explain how each of the Requirements are met for this problem.

STEP 2:Hypotheses (2 points):

State the question you are investigating

Write the Null and Alternative hypothesis in symbols (use correct symbols - these are in the equation editor in Word) and in words.

STEP 3:Mechanics (2 points):Use the Calculator or other technology

Include in your answer the type of test and values you entered

Include your results (test statistic, p-value)

STEP 4:Conclusion (2 points):State your conclusion

Include reject or fail to reject the null hypothesis

Write your conclusion in terms of the problem context (and the p-value).

STEP 5:Confidence Interval (2 points):

Find the appropriate confidence interval that matches the test and significance level for each problem.One-tailed test confidence level is 1-2(significance level) and two-tailed test confidence level is 1 - significance level.

Explain how the results of the confidence interval support your hypothesis test conclusion in STEP 4.(Does the interval contain the null hypothesis?)

NOTE:In Chapters 10 and 11, we have performed hypothesis tests of the following type:

One Proportion Test

Two Proportion Test

One Mean Test

Two Independent Means Test

Matched Pairs (or Dependent Means) Test

Activities #3- include one of each type of test.

Activity #3:(10 points)Energy Consumption:In 2001, the mean household expenditure for energy was $1450 (U.S. Department of Justice data).An economist wanted to know if this amount had changed significantly in 2015, so he selected a random sample of 35 households with a mean expenditure of $1620 and a standard deviation of $315.Is the mean household expenditure for energy in 2015 different than $1450 (mean in 2001)?Use a 0.05 significance level.