The dataset lists the mean, standard deviation, the min, and max scores from the sample. It can be observed that the graph is skewed left and is clustered in close proximity. It can also be concluded that the data has a high mean because of how tall it is, and a low standard deviation since it is clustered close together. According to the graph, a math professor can claim that 66.4% of students will score at least a 50% on a math exam or better with a sample standard deviation of 15.4.

To evaluate this claim, a right-tailed test would need to be completed. Additional information needed that is not presented in the dataset is the sample size and the level of significance to test the claim.

1. Based on the claim presented, state the null and alternative hypothesis and process you would take to determine if you would Reject or Fail to Reject Ho.
2. Based on the data and history presented, state a new claim and explain why you think your claim is valid.