Mathematics, 18.12.2021 14:00 taijaunam

Students investigating the packaging of potato chips purchased 66 bags of chips marked with a net weight of 29.629.6 grams. They carefully weighed the contents of each bag, recording the following weights (in grams): 29.529.5, 28.328.3, 29.429.4, 28.628.6, 28.628.6, 28.928.9. LOADING... Click the icon to view the t table. a) Do these data satisfy the assumptions for inference? Is the randomization condition satisfied?

A. We don't know that the bags of chips were sampled atrandom, but it is reasonable to think that they were.

B. No, the 6 bags were not selected at random, but it is reasonable to think that these bags are representative of all bags of chips.

C. Yes, there is definitely evidence to believe that the bags of chips were sampled at random.

Is the 10% condition satisfied?

A. No, 66 bags of chips are less than 10% of all bags of chips.

B. Yes, 66 bags of chips are more than 10% of all bags of chips.

C. Yes, 66 bags of chips are less than 10% of all bags of chips.

D. No, 66 bags of chips are more than 10% of all bags of chips.

Is the nearly normal condition satisfied?

A. Yes, the sample of 66 bags of chips is approximately normal.

B. No, the sample of 66 bags of chips is not approximately normal.

C. We don't know, since the sample of 66 bags of chips is small we cannot determine if the distribution is approximately normal or not.

b) Find the mean and standard deviation of the observed weights. y overbaryalmost equals≈nothingm grams (Round to two decimal places as needed.) salmost equals≈nothingm grams (Round to two decimal places as needed.)

c) Create a 95% confidence interval for the mean weight of such bags of chips. left parenthesis nothing comma nothing right parenthesis gramsm, m grams (Round to one decimal place asneeded.)

d) Explain in context what your interval means.

A. We are 95% confident that the interval contains the true mean weight of the contents of a bag of chips.

B. 95% of the chips will be contained in the interval.

C. The interval contains the true mean weight of the contents of a bag of chips 95 %

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