The psy v gist gathers a random sample of 13 SI scores of smokers and finds that their mean is 153 and their standard deviation is 31. 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 150? Use the 0.05 level of significance. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H. P Ho : 150 X S p H, : 150 M (b) Determine the type of test statistic to use. Z 0=0 050 020 (c) Find the value of the test statistic. (Round to three or more decimal places.) * 00 0.349 (d) Find the two critical values. (Round to three or more decimal places.) X ? and (e) At the 0.05 level of significance, can the psychologist conclude that the mean SI score among smokers is different from 150