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 = 69 and s = 18.) 54 85 93 57 54 94 54 51 68 94 89 64 86 49 55 54 56 97 78 51 58 87 State the null and alternative hypotheses. O Ho: The population does not have a normal probability distribution. He: The population has a normal probability distribution. O Ho: The population has a normal probability distribution. Ha: The population does not have 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. H: The population has a sampling mean 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 does not have a normal probability distribution. O Do not reject Ho. We conclude that the population does not have a normal probability distribution. O Reject Ho. We conclude that the population has a normal probability distribution. Construct a histogram of the data. 15 15 15 15 10 10 10 10 Frequency Frequency Frequency Frequency 5 5 5 5 20 40 60 80 100 20 40 60 80 100 20 40 60 80 100 20 40 60 80 100 C Percentage of Data Percentage of Data Percentage of Data Percentage of Data