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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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.

(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
a
Но: и %3D 241
H2: u > 241
a
Ho: H = 241
H2: u < 241
О но: и > 241
Н: и < 241
a'
Но: и < 241
H2: u > 241
a
Find the test statistic and P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.)
t =
2.201
P-value =
0.05
Transcribed Image Text:(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 a Но: и %3D 241 H2: u > 241 a Ho: H = 241 H2: u < 241 О но: и > 241 Н: и < 241 a' Но: и < 241 H2: u > 241 a Find the test statistic and P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t = 2.201 P-value = 0.05
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
probability plot.
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
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
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 probability plot. 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 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 Calories
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