please answer F only 56. Doritos Some students checked 6 bags of Doritos marked

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please answer F only

56. Doritos Some students checked 6 bags of Doritos marked with a net weight of 28.3 grams. They carefully weighed the contents of each bag, recording the following weights (in grams): 29.2, 28.5, 28.7, 28.9, 29.1, 29.5. a) Do these data satisfy the assumptions for inference? Explain. b) Find the mean and standard deviation of the weights. c) Create a 95% confidence interval for the mean weight of such bags of chips. CHAPTER 14 Confidence Intervals for Means 469 d) Explain in context what your interval means. e) Comment on the company's stated net weight of 28.3 gra ) Why might finding a bootstrap confidence interval not be a good idea for these data?

Explanation / Answer

Although bootstrapping is (under some conditions) asymptotically consistent, it does not provide general finite-sample guarantees. The apparent simplicity may conceal the fact that important assumptions are being made when undertaking the bootstrap analysis (e.g. independence of samples) where these would be more formally stated in other approaches.

Bootstrapping is the practice of estimating properties of an estimator (such as its variance) by measuring those properties when sampling from an approximating distribution.

Here, since the sample size is very small ( n=6 ) we cannot consider a approximate distribution.

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