question archive A psychologist is studying smokers' self-images, which she measures by the self-image (SI) score from a personality inventory

A psychologist is studying smokers' self-images, which she measures by the self-image (SI) score from a personality inventory

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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 145 The psychologist gathers a random sample of 20 SI scores of smokers and finds that their mean is 155 and their standard deviation is 30. Assume that the population of SI scores of smokers is normally distributed with mean ?.

Based on the sample, can the psychologist conclude that ? is different from 145? 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:

The alternative hypothesis: H.

The type of test statistic: (Choose one)

The value of the test statistic: (Round to at least three decimal places.)

The p-value: (Round to at least three decimal places.)

At the 0.05 level of significance, can the psychologist conclude that the mean SI score among smokers is different from 145?

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