Question

Hypothesis Testing 9. Many consumers pay careful attention to stated nutritional contents on packaged foods when making purchases, so it is important that the information on packages is accurate. A random sample of n = 12 frozen dinners of a certain type was selected and the calorie content of each one was determined. The stated mean caloric content is 240. Conduct a hypothesis test to determine if the mean caloric content is different than 240. Use a 1% level of significance.

along with completing the following areas, don't forget to label the critical value and test statistic on the curve provided, also shade the rejection regions

Answer 1

Shaded region in the curve is rejection region.
kle hare to determine a conduct the hypothesis test to it mean caloric than content (say u) زد is diferent 240 0.01 so the null & Alternative Hypot thesis will be M = 240 Ho HI! u & 240 Calorie content 255 244 242 239 1226 265 233 245 259 248 225 251 using encel functions average (desired cells in encel) cost A sample mean = 244.33 in) we get and using stdev (desired cells un excel) we get sample standard deviation (8) 12.38

ho is the value Since Population Κησω η, test statistics Standard deviation the appropriate is not is t dilo sin of u under to t = 244.33 .240 12.38/512 ab 1.211622 4.33 3.5737 > t 1:21 دارد ، test statistic critical values 1.21. ved + 1.21 กด น.นาเสะ เม. 20.005 0.005 -1.21 1:21

P-value P-value can be obtained as case of ways) 2p(t >1:21) (2 times P { t = 1.21) because this is a two tailed disribution, so probability has to be divided both using encel (= T. DIST.2T (1-21,1)) d. f(n-1) weget 2xP (t = 1:21) = 0.25 1639 p-value 0.2516 fail to reject. Conclusion - is greater than since p-value = 0.2516 = 0.01 80 we fail to reject the there is no Hypothesis. that prove rusicient evidence than 24o. caloric is content mean different than 24o.