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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, an 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 gain in grams is recorded as shown in Table 1 below. Formula Formula Formula A В C 40 47 51 32 38 41 42 49 38 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 using Formula B an Formula C. Test at a confidence level of 90%. (HINT: Remember that the bigger standard deviation goes in the numerator when calculating the tes statistic) a. Should we run the test on all three columns or only on two columns? (Write "2" or "3" in the blank): b. The F-test statistic calculated for this problem is (Round to three decimal places). c. The critical-F value for this problem is (Round to three decimal places). d. We have enough evidence that the variance of weight gains being compared are different. Write "True" or "False" in the blank:

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, an 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 gain in grams is recorded as shown in Table 1 below. Formula Formula Formula A В C 40 47 51 32 38 41 42 49 38 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 using Formula B an Formula C. Test at a confidence level of 90%. (HINT: Remember that the bigger standard deviation goes in the numerator when calculating the tes statistic) a. Should we run the test on all three columns or only on two columns? (Write "2" or "3" in the blank): b. The F-test statistic calculated for this problem is (Round to three decimal places). c. The critical-F value for this problem is (Round to three decimal places). d. We have enough evidence that the variance of weight gains being compared are different. Write "True" or "False" in the blank:

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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### Determining the Nutritional Impact of Different Formulas on Mice Emily is conducting an experiment to evaluate if the nutritional content of different formulas has varying effects on mice. She uses five mice to test each type of formula (A, B, and C), with Formula A being a placebo. Each mouse's weight is recorded in grams. After a specified period, the mice are weighed again, and the net gain in grams is recorded as shown in **Table 1** below. #### Table 1: Weight Gain in Mice Across Different Formulas | Formula A | Formula B | Formula C | |-----------|-----------|-----------| | 40 | 47 | 51 | | 32 | 38 | 41 | | 42 | 49 | 38 | | 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 using Formula B and Formula C. Test at a confidence level of 90%. **(HINT: Remember that the bigger standard deviation goes in the numerator when calculating the test statistic)** 1. **Should we run the test on all three columns or only on two columns? (Write "2" or "3" in the blank):** _______ 2. **The F-test statistic calculated for this problem is** _______ **(Round to three decimal places).** 3. **The critical-F value for this problem is** _______ **(Round to three decimal places).** 4. **We have enough evidence that the variance of weight gains being compared are different. Write "True" or "False" in the blank:** _______ This exercise helps analyze if different nutritional formulas result in varied weight gains in mice, identifying which formulas might have a significant effect. It includes calculating statistical values and interpreting them to make informed conclusions based on the F-test.
Transcribed Image Text:### Determining the Nutritional Impact of Different Formulas on Mice Emily is conducting an experiment to evaluate if the nutritional content of different formulas has varying effects on mice. She uses five mice to test each type of formula (A, B, and C), with Formula A being a placebo. Each mouse's weight is recorded in grams. After a specified period, the mice are weighed again, and the net gain in grams is recorded as shown in **Table 1** below. #### Table 1: Weight Gain in Mice Across Different Formulas | Formula A | Formula B | Formula C | |-----------|-----------|-----------| | 40 | 47 | 51 | | 32 | 38 | 41 | | 42 | 49 | 38 | | 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 using Formula B and Formula C. Test at a confidence level of 90%. **(HINT: Remember that the bigger standard deviation goes in the numerator when calculating the test statistic)** 1. **Should we run the test on all three columns or only on two columns? (Write "2" or "3" in the blank):** _______ 2. **The F-test statistic calculated for this problem is** _______ **(Round to three decimal places).** 3. **The critical-F value for this problem is** _______ **(Round to three decimal places).** 4. **We have enough evidence that the variance of weight gains being compared are different. Write "True" or "False" in the blank:** _______ This exercise helps analyze if different nutritional formulas result in varied weight gains in mice, identifying which formulas might have a significant effect. It includes calculating statistical values and interpreting them to make informed conclusions based on the F-test.
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