In: Statistics and Probability
Dr Susan Benner is an industrial Psychologist. She is currently studying stress among executives of internet companies. She has developed a questionnaire that she believes measures stress. A score above 80 indicates stress at a dangerous level. A random sample of 15 executives revealed the following stress level scores.
94 | 78 | 83 | 90 | 78 | 99 | 97 | 90 |
97 | 90 | 93 | 94 | 100 | 75 | 84 |
a. Find the mean stress level for this sample. What is the point estimate of the population mean?
The sample mean of all the 15 executives equated to (89.4667) 89.47. The point of estimate of the population mean is 80 - 89.4667 = 9.4667.
b. Construct a 95% confidence interval for the population mean.
95% confidence interval is between 84.99 and 93.94, found by 89.4667±1.76 (8.08/(sqrt)15)
c. According to Dr Benner's test, is it reasonable to conclude that the mean stress level of internet executives is 80? Explain.
It is perfectly reasonable to conclude that a score above 80% is indicative of a dangerous stress level. It also should be noted that the lower stress level scores are still above the 80 thresholds.
(Instructor's Comments)
The point of estimate of the population mean is 80 - 89.4667 = 9.4667. Are you sure? Is 89.467 the point estimate?
Check the t-score value again. Explain how you obtained the value of 1.76? Correct it and then revise the limits. Check your conclusion as well.
Please attach your excel spreadsheet to support the results.
(STUDENT NOTES)
I have completed this assignment but didn't complete it correctly. If someone can assist me in understanding that would be appreciated!!