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Answer the following questions: 1. The monthly sales for a certain product are normally distributed, with a standard deviation of $900. The confidence interval for the mean of monthly sales is $4,663 and $5,839 calculated from a study of nine months sale. Calculate the average monthly sale over the nine months and the significant level of the study. 2. A sample of 11-year old students for a certain school was taken and their heights in centimeters are recorded as (128, 124 130, 124,127). If the heights are normally distributed and both u and o are unknown calculate a two-tailed 95% confidence interval for the mean height of 11-year-olds. 3. A random sample of 64 bags of white cheddar popcorn weighed, on average, 5.23 ounces with a standard deviation of 0.24 ounce. Test the hypothesis that u = 5.5 ounces against the alternative hypothesis, j < 5.5 ounces, at the 0.05 level of significance.