Assume that IQ scores for a certain population are approximately /(u, 100). To test Ho: p = 110 against the one-sided alternative hypothesis ,: / > 110, we take a random sample of size n = 16 from this population and observe x = 113.5. (a) Do we accept or reject Ho at the 5% significance level? (b) Do we accept or reject Ho at the 10% significance level? (c) What is the p-value of this test? Assume that the weight of cereal in a "12.6-ounce box" is /(u, 0.2"). The Food and Drug Association (FDA) allows only a small percentage of boxes to contain less than 12.6 ounces.We shall test the null hypothesis Ho: P = 13 against the alternative hypothesis Hip 170, using n = 25 observations of X. (a) Define the test statistic and a critical region that has a significance level of a = 0.05. Sketch a figure showing this critical region. (b) Arandom sample of n = 25 observations of X yielded the following measurements: 170 167 174 179 179 156 163 156 187