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Can you explain to me how this is the answer, please and thank you! (12-13) A company is interested in the opinion that students have

Can you explain to me how this is the answer, please and thank you!

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(12-13) A company is interested in the opinion that students have about their product. The students can rate the product from 1 to 5. (12) A random sample of four students were asked to rate the product. They gave the ratings 4, 5, 5, 5. The sample mean is 4.75 and sample standard deviation is 0.5. Using the t-distribution construct a 99% confidence interval for the mean rating for the product. (A) [3.29, 6.21] (B) [1.83, 7.67] (C) [1.83, 5] (D) [3.29, 5] (E) [2.47, 7.02] (13) The QQplots in Figure 1 (next page) are of the distribution of ratings that students give a product and its sample mean (based on 4 students). Using these plots, what can one say about the reliability of the 99% confidence interval constructed in Question 12.Sample means G 5.5 .5 3.5 Figure 1: Left: Distribution of product ratings Right: Distribution of sample mean. (A) The distribution of the sample mean is far from normally distributed. (B) We do not have 99% confidence in the interval. (C) We do have 99% confidence in the interval. (D) [A] and [B] (E) [A] and [C]

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