Question: A psychologist is studying smokers' self-images, which she measures by the self-image (SI) score from a personality inventory. For adults in the U.S., the

A psychologist is studying smokers' self-images, which she measures by the self-image

(SI) score from a personality inventory. For adults in the U.S., the

A psychologist is studying smokers' self-images, which she measures by the self-image (SI) score from a personality inventory. For adults in the U.S., the mean SI score from this inventory is about 140. The psychologist gathers a random sample of 21 SI scores of smokers and finds that their mean is 154 and their standard deviation is 40. Assume that the population of SI scores of smokers is normally distributed with mean u. Based on the sample, can the psychologist conclude that u is different from 140? Use the 0.05 level of significance. Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) The null hypothesis: :0 The alternative hypothesis: H, :0 sD (Choose one). DRO The type of test statistic: At the 0.05 level of significance, can the psychologist conclude that the mean SI score Yes No among smokers is different from 140?

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