Question
Emily is trying to check if the nutritional content of different formulas have different effects on mice. She uses five mice to test each type
Emily is trying to check if the nutritional content of different formulas have different effects on mice. She uses five mice to test each type of formulas (A, B, and C) and Formula A is simply a placebo. Each mouse's weight is recorded in grams. At the end of a specified time period, each mouse is weighed again and the net weight gain in grams is recorded as shown in Table 1 below.
Formula A | Formula B | Formula C |
40 | 47 | 51 |
32 | 42 | 41 |
42 | 49 | 44 |
36 | 46 | 46 |
39 | 44 | 49 |
Using an F-test, determine whether or not the variance in weight gain is statistically the same among the mice that were given Formula A and Formula C. Test at a confidence level of 95%. (HINT: Remember that the bigger standard deviation goes in the numerator when calculating the test statistic)
- The standard deviation for Formula A is and the standard deviation of Formula C is (Round to two decimal places).
- The F-test statistic calculated for this problem is (Round to two decimal places).
- The critical-F value at alpha = 0.05 for this problem is (Round to two decimal places).
- Do we have enough evidence to claim that the variance of the weight gains between the two groups is different? (Write "Yes" or "No")
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