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Many consumers pay careful attention to stated nutritional contents on packaged foods when making purchases, so it is important that the information on packages be accurate. Suppose that a random sample of n = 12 frozen dinners of a certain type was selected and the calorie content of each one was determined. Below are the resulting observations, along with a boxplot and normal probability plot. 255 244 239 242 265 245 259 248 225 226 251 233 Calories 220 230 240 250 260 270 265 - 255 245 235 225 -1.5 -0.5 0.5 1.5 Normal score n USE SALT (a) Is it reasonable to test hypotheses about true average calorie content u by using a one-samplet test? O Yes, it is reasonable. O No, a t test is not applicable here. O It depends on the results of a t test. Calories

Many consumers pay careful attention to stated nutritional contents on packaged foods when making purchases, so it is important that the information on packages be accurate. Suppose that a random sample of n = 12 frozen dinners of a certain type was selected and the calorie content of each one was determined. Below are the resulting observations, along with a boxplot and normal probability plot. 255 244 239 242 265 245 259 248 225 226 251 233 Calories 220 230 240 250 260 270 265 - 255 245 235 225 -1.5 -0.5 0.5 1.5 Normal score n USE SALT (a) Is it reasonable to test hypotheses about true average calorie content u by using a one-samplet test? O Yes, it is reasonable. O No, a t test is not applicable here. O It depends on the results of a t test. Calories

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Many consumers pay careful attention to stated nutritional contents on packaged foods when making purchases, so it is important that the information on packages be accurate. Suppose that a random sample of n = 12 frozen dinners of a certain type was selected and the calorie content of each one was determined. Below are the resulting observations, along with a boxplot and normal probability plot.

*****Find the P-value.

(b) The manufacturer claims that the mean calorie content for this particular type of frozen dinner is 241 calories. Does the boxplot suggest that actual mean content differs from the stated value? Yes, it is clear that actual mean content differs from the stated value. No, it is possible that actual mean content is 241. There's not enough evidence to decide. (c) Carry out a formal test of the hypotheses suggested in part (b). Use a = 0.05. State the appropriate null and alternative hypotheses. Ho: H = 241 H: u + 241 Но: и 3D 241 Н: и> 241 Но: и 3D 241 H2: u < 241 O Ho: H > 241 На: и < 241 О но: и Ho: u < 241 H2: u > 241 Find the test statistic and P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t = 0.9 P-value = 0.38 State the conclusion in the problem context.
Transcribed Image Text:(b) The manufacturer claims that the mean calorie content for this particular type of frozen dinner is 241 calories. Does the boxplot suggest that actual mean content differs from the stated value? Yes, it is clear that actual mean content differs from the stated value. No, it is possible that actual mean content is 241. There's not enough evidence to decide. (c) Carry out a formal test of the hypotheses suggested in part (b). Use a = 0.05. State the appropriate null and alternative hypotheses. Ho: H = 241 H: u + 241 Но: и 3D 241 Н: и> 241 Но: и 3D 241 H2: u < 241 O Ho: H > 241 На: и < 241 О но: и Ho: u < 241 H2: u > 241 Find the test statistic and P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t = 0.9 P-value = 0.38 State the conclusion in the problem context.
Many consumers pay careful attention to stated nutritional contents on packaged foods when making purchases, so it is important that the information on packages be accurate. Suppose that a random sample of n = 12 frozen dinners of a certain type was selected and the calorie content of each one was determined. Below are the resulting observations, along with a boxplot and normal probability plot. 255 244 239 242 265 245 259 248 225 226 251 233 Calories 220 230 240 270 250 260 265 255 245 235 225 -1.5 -0.5 0.5 1.5 Normal score In USE SALT (a) Is it reasonable to test hypotheses about true average calorie content u by using a one-sample t test? Yes, it is reasonable. No, a t test is not applicable here. It depends on the results of a t test. Calories
Transcribed Image Text:Many consumers pay careful attention to stated nutritional contents on packaged foods when making purchases, so it is important that the information on packages be accurate. Suppose that a random sample of n = 12 frozen dinners of a certain type was selected and the calorie content of each one was determined. Below are the resulting observations, along with a boxplot and normal probability plot. 255 244 239 242 265 245 259 248 225 226 251 233 Calories 220 230 240 270 250 260 265 255 245 235 225 -1.5 -0.5 0.5 1.5 Normal score In USE SALT (a) Is it reasonable to test hypotheses about true average calorie content u by using a one-sample t test? Yes, it is reasonable. No, a t test is not applicable here. It depends on the results of a t test. Calories
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