Question

Researchers from the Department of Fruit Crops at a university compared four different preservatives to be used in freezing strawberries. The researchers prepared the yield from a strawberry patch for freezing and randomly divided it into four equal groups. Within each group they treated the strawberries with the appropriate preservative and packaged them into eight small plastic bags for freezing at 0 degrees C. The bags in group I served as a control group, while those in groups II, III, and IV were assigned one of the three newly developed preservatives. After all 32 bags of strawberries were prepared, they were stored at 0 degrees C for six months. At the end of this time, the contents of each bag were allowed to thaw and then rated on a scale of 1 go 10 points for discoloration. Lower scores indicate little discoloration. The means and standard deviations for each of the groups is found below. Use this information to answer the questions that follow. Group Sample Size Mean Std Dev I 8 8.31 1.07 II 8 6.44 1.02 III 8 4.00 0.85 IV 8 2.50 0.96 Part 1. Is there any evidence to suggest that mean discoloration for Group IV is less than that of Group I? Conduct an appropriate hypothesis test. Include your null and alternative hypotheses, test statistic, p-value, decision, and conclusion in context. You pick a level of significance (alpha). [15 pts] Part 2. Construct and interpret a 95% confidence interval for the difference in means between Group IV and Group I. [10 pts]

Researchers from the Department of Fruit Crops at a university compared four different preservatives to be used in freezing strawberries. The researchers prepared the yield from a strawberry patch for freezing and randomly divided it into four equal groups. Within each group they treated the strawberries with the appropriate preservative and packaged them into eight small plastic bags for freezing at 0 degrees C. The bags in group I served as a control group, while those in groups II, III, and IV were assigned one of the three newly developed preservatives. After all 32 bags of strawberries were prepared, they were stored at 0 degrees C for six months. At the end of this time, the contents of each bag were allowed to thaw and then rated on a scale of 1 go 10 points for discoloration. Lower scores indicate little discoloration. The means and standard deviations for each of the groups is found below. Use this information to answer the questions that follow.

Group Sample Size Mean Std Dev
I 8 8.31 1.07
II 8 6.44 1.02
III 8 4.00 0.85
IV 8 2.50 0.96

Part 1. Is there any evidence to suggest that mean discoloration for Group IV is less than that of Group I? Conduct an appropriate hypothesis test. Include your null and alternative hypotheses, test statistic, p-value, decision, and conclusion in context. You pick a level of significance (alpha). [15 pts]

Part 2. Construct and interpret a 95% confidence interval for the difference in means between Group IV and Group I. [10 pts]

Researchers from the Department of Fruit Crops at a university compared four different preservatives to be used in freezing strawberries. The researchers prepared the yield from a strawberry patch for freezing and randomly divided it into four equal groups. Within each group they treated the strawberries with the appropriate preservative and packaged them into eight small plastic bags for freezing at 0 degrees C. The bags in group I served as a control group, while those in groups II, III, and IV were assigned one of the three newly developed preservatives. After all 32 bags of strawberries were prepared, they were stored at 0 degrees C for six months. At the end of this time, the contents of each bag were allowed to thaw and then rated on a scale of 1 go 10 points for discoloration. Lower scores indicate little discoloration. The means and standard deviations for each of the groups is found below. Use this information to answer the questions that follow.

Group Sample Size Mean Std Dev
I 8 8.31 1.07
II 8 6.44 1.02
III 8 4.00 0.85
IV 8 2.50 0.96

Part 1. Is there any evidence to suggest that mean discoloration for Group IV is less than that of Group I? Conduct an appropriate hypothesis test. Include your null and alternative hypotheses, test statistic, p-value, decision, and conclusion in context. You pick a level of significance (alpha). [15 pts]

Part 2. Construct and interpret a 95% confidence interval for the difference in means between Group IV and Group I. [10 pts]

Added by -Scar F.

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