Bob Feller, an Town 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 = 69.2 and s = 18.) 57 54 94 $4 51 58 94 89 64 96 49 56 97 58 44 State the null and alternative hypotheses O Hol The population has a normal probability distribution. Hit The population has a sampling mean distribution. O Hel The population does not have a normal probability distribution. H.: The population has a normal probability distribution. O Hot The population has a normal probability distribution. Hat The population does not have a normal probability distribution. O Hot The population has a normal probability distribution. Had The population has a y" distribution. Find the value of the test statistic. 13.048 Find the prvalue. (Round your answer to four decimal places.) p-value = 0.0011 1x State your conclusion. O Reject We We conclude that the population does not have a normal probability distribution. @ Reject No We conclude that the population has a normal probability distribution. O Do not reject He. We conclude that the population has a normal probability distribution. O Do not reject He. We conclude that the does not have a normal probability distribution. Construct a histogram of the data. 15 15 15 15 10 10 10 10 Frequency Frequency Frequency Frequency 5 20 40 60 80 100 20 40 60 80 100 20 40 60 80 100 20 40 60 100 Percentage of Data Percentage of Data DO Percentage of Data Percentage of Data Does the histogram representation support the conclusion reached with the goodness of fit test? Yes. the histogram representation supports the conclusion reached with the goodness of fit test. No, the histogram representation does not support the conclusion reached with the goodness of fit test