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 15 SI scores of smokers and finds that their mean is 164 and their standard deviation is 34. Assume that the population of SI scores of smokers is normally distributed with mean . Based on the sample, can the psychologist conclude that u is different from 145? Use the o.1 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 H1. H, 0 (b) Determine the type of test statistic to use. (Choose one) D-0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) At the 0.1 level of significance, can the psychologist conclude that the mean SI score among smokers is different from 145? OYes ONo

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 15 SI scores of smokers and finds that their mean is 164 and their standard deviation is 34. Assume that the population of SI scores of smokers is normally distributed with mean . Based on the sample, can the psychologist conclude that u is different from 145? Use the o.1 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 H1. H, 0 (b) Determine the type of test statistic to use. (Choose one) D-0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) At the 0.1 level of significance, can the psychologist conclude that the mean SI score among smokers is different from 145? OYes ONo

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Please see the attached photo

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 15
SI scores of smokers and finds that their mean is
164 and their standard deviation is 34. Assume that
the population of SI scores of smokers is
normally distributed with mean u. Based on the
sample, can the psychologist conclude that . is
different from 145? Use the o.1 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 H, and the alternative hypothesis H.
H, :0
H, :0
믐
(b) Determine the type of test statistic to use.
(Choose one)
D=0
OSO
|(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the p-value. (Round to three or more decimal places.)
(e) At the 0.1 level of significance, can the psychologist conclude that the mean SI score
among smokers is different from 145?
OYes ONo

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