Question

PART I: Traditional Method. Richard Simmons wants to produce a new work out video called Dancin' in the Kitchen. He used two different exercise methods in his Sweating to the Oldies 1 and Sweating to the Oldies 2 videos and wants to see if there is a difference between the methods. He takes a random sample of 14 people who used Sweating to the Oldies 1 and recorded how much weight (in pounds) they lost using that video. He also took a random of 14 people who used Sweating to the Oldies 2 and recorded how much weight they lost (in pounds) using that video. The results are listed in the table below. (Assume the data is normally distributed) Sweating to the Oldies 2 Method Sweating to the Oldies 1 Method 9.94 8.59 6.87 9.88 8.55 8.70 7.00 8.64 8.65 7.89 6.99 7.62 8.80 9.30 8.03 7.44 7.33 9.79 6.85 8.58 7.44 7.43 7.62 7.21 8.65 7.54 6.99 6.39 At the 5% level of significance, test the claim that there is a difference between the Sweating to the Oldies 1 exercise method and Sweating to the Oldies 2 method. Report the critical and test values and write the summery of the test.

Answer 1

Null hypothesis: H:44 = 42 There is no difference between the Sweating to the Oldies 1 exercise method and Sweating to the Oldies 2 exercise method. Alternative hypothesis: H442

There is a difference between the Sweating to the Oldies 1 exercise method and Sweating to the Oldies 2 exercise method. Rejection rule: If t>terit ort<text, then reject the null hypothesis H.- EXCEL (Data Analysis) output: t-Test: Two-Sample Assuming Unequal Variances Mean Variance Observations Hypothesized Mean Difference Sweating to the Oldies 1 Method Sweating to the Oldies 2 Method 7.880714286 8.17 1.035207143 0.944030769 14 df t Stat P(T<=t) one-tail t Critical one-tail PITC=t) two-tail t Critical two-tail -0.76938197 0.224300137 1.705617901 0.448600274 2.055529418 Test Statistic: t= -0.7694. Critical values are -2.0555.2.0555.

Conclusion: Since t(=-0.7694)>tert (= -2.0555). then do not reject the null hypothesis. Therefore, there is no difference between the Sweating to the Oldies 1 exercise method and Sweating to the Oldies 2 exercise method.