Bob Feller, an Iowa farmer, has recorded the daily high temperatures during the same five-day stretch in May over the past five years. Bob is interested in whether this data suggests that the daily high temperature obeys a normal distribution. Use a = 0.01 and conduct a goodness of fit test using 5 classes to see whether the following sample appears to have been selected from a normal probability distribution. (Note: x = 70.4 and s = 19.) 56 87 95 50 56 96 56 53 70 96 91 66 88 51 57 56 58 59 80 93 63 60 89 26 State the null and alternative hypotheses. O Ho: The population does not have a normal probability distribution. Ha: The population has a normal probability distribution. O Ho: The population has a normal probability distribution. Ha: The population has a x- distribution. O Ho: The population has a normal probability distribution. Ha: The population has a sampling mean distribution. O Ho: The population has a normal probability distribution. Ha: The population does not have a normal probability distribution. Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Do not reject Ho. We conclude that the population has a normal probability distribution. O Reject Ho. We conclude that the population has a normal probability distribution. O Reject Ho. We conclude that the population does not have a normal probability distribution. O Do not reject Ho. We conclude that the population does not have a normal probability distribution. Construct a histogram of the data. 15 15 15 0 10 10 LO Frequency Frequency Frequency Frequency 5 5 5 5 OL OL OL 20 40 60 80 100 0 20 40 60 80 100 20 40 60 80 100 20 40 60 80 100 O Percentage of Data Percentage of Data Percentage of Data Percentage of Data