a sample from the population of school districts 4 Assume that n = 04 school districts is a randoin sample in the United States. Student performance data was collected. Further, assume that in the population the student performance variable is co antinuous and normally distributed, and that the histogram of the sample data is unimodal. U. 1. Use the de e descriptive statistics from the sample data to answer the questions below. Stausbe Percentage of students Mean 65.86 passing all 9th grade state proficiency tests on 95% Confidence interval Lower Bound 63.07 first opportunity for Mean Upper Bound 68.65 5% Trimmed Mean 66.11 Median 67.00 Variance 185.217 Std. Deviation 13.609 Minimum 28 Maximum 100 Range 72 Interquartile Range 18 Skewness -.258 Kurtosis 447 (a) Can we assume that the distribution of the sample data is normally distributed? Why or why not? (b) Assuming that the population variance for this variable is equal to 121, what is the standard deviation of the sampling distribution for the mean for a sample size of n = 94? (c) Assuming that the population standard deviation is equal to 11, compute the 95% confi- dence interval for the mean for a sample size of n = 94. (d) Describe what would happen to the bounds of the 95% confidence interval if we increased our sample size