Find C. 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 particularperiod, 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. (Use this dataset for your analysis software.)255244239242265245259248225226251233n USE SALT27아26526아255 E25아245E240-235 E23아225-1.5-0.50.51.522아Normal score(a) Is it reasonable to test hypotheses about mean calorie content u by using a t test? Explain why or why not.. Yes, it is reasonable. The pattern in the normal probability plot is roughly linear, and since the sample was a random sample from the population, the t test isappropriate.No, the t test is not applicable here. The pattern in the normal probability plot is roughly linear. Therefore, the t test is not appropriate.Yes, it is reasonable. The pattern in the normal probability plot is not linear, and since the sample was a random sample from the population, the t test is appropriate.No, the t test is not applicable here. The sample wanot a random sample from the population so the t test is not appropriate.It depends on the results of t test.(b) The stated calorie content is 243. Does the boxplot suggest that true average content differs from the stated value? Explain your reasoning.Yes, the center of the boxplot is different from the stated value indicating the true average content must differ from the statedvalue.o Not necessarily, it is possible that true average content is 243 and observed differences could be due to sampling variability.No, the true average content must be 243 since 243 is inside the box of the boxplot.Yes, the true average content must be different from 243 since 243 is inside the box of the boxplot.(c) Carry out a formal test of the hypotheses suggested in part (b).Find the test statistic and P-value. (Use a = 0.05. Round your test statistic to two decimal places and your P-value to four decimal places.)t =P-value =Calories

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(c) Carry out a formal test of the hypotheses suggested in part (b). Find the test statistic and Pvalue. (Use a- 0.05. Round your test statistic to two decimal places and your P.value to four decimal places.) P.value