# Question (1 point) A dairy company must maintain strict oversight on the weight of a box of yogurt they sell to customers. Their current advertisement specifies between 290 and 310g per bottle of yogurt. The company collected 15 bottles of yogurt to measure their weight. The weight gram) of each bottle are shown as follows. Use a = 0.0502 for all calculations below. 325, 271,318, 309, 300, 303, 307, 284, 298, 298, 301, 303, 312, 297, 291 The data is found in the accompanying data file. Download.csv file Does the data suggest that the sample standard deviation in the weight (gram) per bottle compares to the hypothesised o = 20.4? (a) Construct a 94.98% confidence interval estimate of the variance, o?, of the weight gram) per bottle Give answers to at least 3 digits after the decimal. ( (b) What assumption needs to be satisfied for the inferences made in (a) to be valid? Use appropriate graph to check the normality assumption. Report your p-value. Three digits after decimal P= Do the data follow an approximately Normal distribution? A. No B. Yes (c) The data suggest that the standard deviation in weight (gram) per bottle is 20.4? A. Not significantly different from B. Significantly greater than C. Significantly less than

9SULQF The Asker · Probability and Statistics

Transcribed Image Text: (1 point) A dairy company must maintain strict oversight on the weight of a box of yogurt they sell to customers. Their current advertisement specifies between 290 and 310g per bottle of yogurt. The company collected 15 bottles of yogurt to measure their weight. The weight gram) of each bottle are shown as follows. Use a = 0.0502 for all calculations below. 325, 271,318, 309, 300, 303, 307, 284, 298, 298, 301, 303, 312, 297, 291 The data is found in the accompanying data file. Download.csv file Does the data suggest that the sample standard deviation in the weight (gram) per bottle compares to the hypothesised o = 20.4? (a) Construct a 94.98% confidence interval estimate of the variance, o?, of the weight gram) per bottle Give answers to at least 3 digits after the decimal. ( (b) What assumption needs to be satisfied for the inferences made in (a) to be valid? Use appropriate graph to check the normality assumption. Report your p-value. Three digits after decimal P= Do the data follow an approximately Normal distribution? A. No B. Yes (c) The data suggest that the standard deviation in weight (gram) per bottle is 20.4? A. Not significantly different from B. Significantly greater than C. Significantly less than
More
Transcribed Image Text: (1 point) A dairy company must maintain strict oversight on the weight of a box of yogurt they sell to customers. Their current advertisement specifies between 290 and 310g per bottle of yogurt. The company collected 15 bottles of yogurt to measure their weight. The weight gram) of each bottle are shown as follows. Use a = 0.0502 for all calculations below. 325, 271,318, 309, 300, 303, 307, 284, 298, 298, 301, 303, 312, 297, 291 The data is found in the accompanying data file. Download.csv file Does the data suggest that the sample standard deviation in the weight (gram) per bottle compares to the hypothesised o = 20.4? (a) Construct a 94.98% confidence interval estimate of the variance, o?, of the weight gram) per bottle Give answers to at least 3 digits after the decimal. ( (b) What assumption needs to be satisfied for the inferences made in (a) to be valid? Use appropriate graph to check the normality assumption. Report your p-value. Three digits after decimal P= Do the data follow an approximately Normal distribution? A. No B. Yes (c) The data suggest that the standard deviation in weight (gram) per bottle is 20.4? A. Not significantly different from B. Significantly greater than C. Significantly less than