The greenhouse emissions of 32 cars were measured with a mean of 7.78 tons and a standard deviation of 1.08 tons. (The amounts are in tons per year, expressed a CO equivalents.) A# government report states that all cars have a mean greenhouse gas emission of 8.0 tons. Test the report's claim. a) State H and H for the test.! " b) Assume =0.01. Draw a picture of the distribution, find the critical value(s), and label the rejection regions c) Compute the sample test statistic and locate it on your picture above. d) Based on the above, circle your conclusion: REJECT H or DO NOT REJECT H! ! e) State your conclusion in non technical terms. f) Explain in the context of the problem above what would have to happen to be guilty of committing type 1 error. Use no symbols and do not use any phrase that would include "null hypothesis" or "alternative hypothesis"!!]

For the problems on the NEXT page you must conduct a complete hypothesis test procedure for these problems making it clear what formula was being used. Be sure to formulate both hypotheses, identify critical values and rejection regions where appropriate, your test statistic, as well as stating your final conclusion IN NONTECHNICAL TERMS (Translation: Assume you are stating your conclusion to somebody with no knowledge of statistics.)!!

2. A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 306 randomly selected people over the age of 55, 68 dream in black and white. Among 298 randomly selected people under the age of 25, 13 dream in black and white. Use a 0.05 significance level to test the claim that people over the age of 55 dream in black and white at a greater rate than those under the age of 25.