Question

Many consumers pay careful attention to stated nutritional contents on packaged foods when making purchases. It is therefore important that the information on packages be accurate. A random sample of n = 12 frozen dinners of a certain type was selected from production during a particular period, and the calorie content of each one was determined. (This determination entails destroying the product, so a census would certainly not be desirable!) Here are the resulting observations, along with a boxplot and normal probability plot. (To obtain the dataset for your analysis software, go to the Book Companion Website.)

255	244	239	242	265	245	259	248
225	226	251	233

A vertical boxplot has a vertical axis labeled "Calories" with values from 223 to 267. The top whisker is approximately at 265.0, the top-most edge of the box is near 253.0, the line inside the box is approximately 244.5, the bottom-most edge of the box is near 236.0, and the bottom whisker is at approximately 225.0.

(c) Carry out a formal test of the hypotheses suggested in part (b). (Use Table 4 in Appendix A. Use α = 0.05. Round your test statistic to two decimal places and your P-value to three decimal places.)

t

=

P=  

Answer 1

In the question only part c was given. So, I only solved part c. Since there is no technique to find accurate p value manually, so I used linear interpolation where p value came 0.170. Whereas if any one can find accurately by using matlab or python or R. Accurate p value is .164, which is close to our linear interpolation. But for both the cases p value is greater than .05. So, we failed to reject null hypothesis and can conclude that true calorie content can be 239.