In: Statistics and Probability
A study is conducted to compare mean cholesterol levels for individuals following a low-carbohydrate diet for at least 6 months to individuals following a conventional (low-fat, low-calorie) diet for at least 6 months. The data are summarized here:
| 
 Diet Program  | 
 Sample Size  | 
 Mean Cholesterol  | 
 Standard Deviation Cholesterol  | 
| 
 Low carbohydrate  | 
 50  | 
 225.4  | 
 24.5  | 
| 
 Conventional  | 
 75  | 
 203.8  | 
 21.6  | 
Using the five-step approach to hypothesis testing, test if there is a significant difference in mean cholesterol levels between the diet programs using a 1% level of significance for alpha.
Calculate the appropriate test statistics for this study. You must show all your calculations to receive points.
[a] Test statistic = – 5.19
[b] Test Statistic = – 5.59
[c] Test Statistic = 5.19
[d] Test Statistic = 5.59

Hence the value of test statistics is 5.059.
Note: please check the option that you have provide because the value of test statistics is 5.059 not 5.59.