Below are the data collected from two random samples of 500 American adults on the number of hours they work per day (rounded to the nearest hour):
Number of hours of work per day 6 7 8 9 10
Sample A: Number of adults 60 90 145 150 55
Sample B: Number of adults 70 80 140 145 65
Ryan concludes that adults spend a mean of 8 hours working each day. Malia thinks the mean is 9 hours. Who is correct—Ryan or Malia? Explain your answer in two or three sentences. Make sure to use facts to support your answer. (10 points)
Neither Ryan nor Malia can be conclusively determined to be correct based on the data given. While Ryan's conclusion of a mean of 8 hours working per day is supported by the data in Sample A, Malia's hypothesis of a mean of 9 hours is closer to the data in Sample B. In order to definitively determine the mean number of hours worked per day, additional information (such as data from a larger sample size or from a different population) would be required.
Below are the data collected from two random samples of 500 American adults on the number of hours they work per day (rounded to the nearest hour):
THE EXAMPLE IS DOWN BELOW)
DATA: Number of hours of work per day 6 7 8 9 10
Sample A: Number of adults 60 90 145 150 55
Sample B: Number of adults 70 80 140 145 65
Ryan concludes that adults spend a mean of 8 hours working each day. Malia thinks the mean is 9 hours. Who is correct—Ryan or Malia? Explain your answer in two or three sentences. Make sure to use facts to support your answer. (10 points)
Based on the given data, Ryan's conclusion that the mean number of hours worked per day is 8 hours is more supported than Malia's hypothesis of a mean of 9 hours. While the data in Sample B leans towards a mean of 9 hours, it is important to consider the overall distribution of the data across both samples. Additionally, without conducting further statistical analysis (such as calculating the standard deviation or conducting a hypothesis test), it is not possible to definitively determine the true mean number of hours worked per day.
Below are the data collected from two random samples of 500 American adults on the number of hours they work per day (rounded to the nearest hour):
Number of hours of work per day 6 7 8 9 10
Sample A: Number of adults 60 90 145 150 55
Sample B: Number of adults 70 80 140 145 65
Ryan concludes that adults spend a mean of 8 hours working each day. Malia thinks the mean is 9 hours. Who is correct—Ryan or Malia? Explain your answer in two or three sentences. Make sure to use facts to support your answer.
Without conducting further statistical analysis, it is not possible to definitively determine who is correct between Ryan and Malia. However, the data in Sample A, which has a larger number of observations for higher values of hours worked per day, supports Ryan's conclusion of a mean of 8 hours worked per day. Nonetheless, Malia's hypothesis of a mean of 9 hours worked per day is closer to the data in Sample B. To infer any statistical significance, it would be necessary to conduct further analysis, such as calculating the standard deviation or conducting a hypothesis test.
Is my answer correct for the question?
Ryan is correct. The reason of why I say this is because if you add the numbers of Sample A (6(60) + 7(90) + 8(145) + 9(150) + 10(55) )) it would give the result of 4050/500, making it the mean for Sample A. For Sample B, when you add the numbers (( 6(70)+7(80)+8(140)+9(145)+10(65) )), the mean would be 4055/500. Thus, the mean would become 8.1, being the answer of Ryans.