A psychologist is studying smokers self-images

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 , SI scores of smokers and finds that their mean is 135 and their standard deviation is 40. 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. The null hypothesis: P X S p The alternative hypothesis: H , : ] The type of test statistic: (Choose one) 0=0 050 020 *0 00 The value of the test statistic: (Round to at least three decimal places.) X 5 ? The p-value: ( Round to at least three 0 decimal places.) At the 0.05 level of significance, can the psychologist conclude that the mean SI score O Yes O No among smokers is different from 145