A large class of Statistics students were asked to estimate the age of their pro

Question

A large class of Statistics students were asked to estimate the age of their professor. Here is a Simple Random Sample of the data:

43   42   29   45   24   47   29   35   32   27   39   35 42   38   44   42   32   42   29   35   37   35   43   45 40   43   34   38   54   33   45   43   43   37   41   49

1.) Use minitab to create a histogram of the sample data (I have already completed this question myself but need to add this information for the other questions)

2.) According to the sample size requirements for the t statistic is it valid to use the t procedures on this sample? This needs a one or two-sentence answer. “yes” or ‘no’ IS NOT AN ANSWER.  

3.) USE MINITAB to create a 95% t confidence interval for the mean ? of all student-guessed ages for this professor. (I have already completed this question myself but need to add this information for the other questions)

One-Sample T: Age Guesses

Variable      N   Mean StDev SE Mean      95% CI

Age Guesses 36 38.64   6.63     1.11 (36.39, 40.88)

4.) Based on this confidence interval, we can be 95% confident the mean ? of all student guesses of this professor’s age is between _______ and _________

5.) Using the exact same sample, USE MINITAB to find a 98% confidence interval for ?. Highlight, color, or circle the 98% confidence interval. (Please include the minitab steps so I can do this myself, thanks.) .

6) Owen is in a different Math class than you are, but he has the same professor. He has the same worksheet, but with different sample data.True or False There is a 98% probability that Owen’s interval contains the true value of ?.

7) True or false: 98% of all possible intervals computed like the result in #5 would capture the true value of ?.

Explanation / Answer

2) Since, the sample size (n>30) you can use 1 sample t test.

4. 36.99 and 40.88.

5. Okay, if you've already computed (as displayed) the 95% ci, you have entered the data. Now go to Stat> Basic statistics>1 sample t. Select 'Options' and change the 'Confidence level' to 98. Click OK consecutively. This will give you the required output.

6. False. There exists nothing called 98% probability. One can be 98% confident regarding the true population mean to be within a specific range.

7. False. One can be 98% confident that the true value of mu will lie within the confidence interval like in the result no. 5.

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