1. 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=0.05. 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) Explainin the context of the problemabove what would have to happen to be guilty of committing type I 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 formulateboth hypotheses, identifycritical values and rejection regionswhere appropriate, yourtest

statistic, as well as stating yourfinal conclusionIN NONTECHNICAL TERMS (Translation: Assume you are stating your conclusion to somebody with no knowledge of statistics.)!!

2. A simple random sample of birth weights of 30 girls has a standard deviation of 829.5 hg. Use a 0.01 significance level to test the claim that birth weights of girls have the same standard deviation as birth weights of boys, which is 660.2 hg. It is safe to assume birth weights have a bell-shaped distribution.

3. 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 0.01 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.