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1. A "12 0z" jar of a local brand of peanut is less than this value. The Better Business bureau selected a sample of 20 jars. The sample showed an average net weight of 11.80 ounces and a standard deviation of 0.4 ounce. Using a 0.02 level of significance, what would the Bureau conclude about the operation of the local firm?

2. It is believed that at least 60% of the residents in a certain area favor an annexation suit by a neighboring city. What conclusion would you draw if only 120 in a sample of 210 voters favor the suit? Use a 0.03 level of significance.

3. A random sample of 50 bags of white Cheddar popcorn weighed, on average, 5.35 ounces with a standard deviation of 0.30 ounces. Test the hypothesis that mu = 5.5 ounces against the alternative hypothesis, mu

Note: Follow the steps outlined in Test of Hypothesis (below image), which include your conclusion, and round the critical value as well as test statistic to four decimal places.

CLAIM: (state the claim of the problem) 1. Ho : H1 - H2 = 0 , (describe Ho) there's no significant difference H1 : H1 - Hz