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 150. The psychologist gathers a random sample of 10 SI scores of smokers and finds that their mean is 177 and their standard deviation is 30. Assume that the population of SI scores of smokers is normally distributed with mean µ. Based on the sample, can the psychologist conclude that µ 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: H, :0 H, :0 (b) Determine the type of test statistic to use. t Degrees of freedom: 9 O=0 OSO O20 (c) Find the value of the test statistic. (Round to three or more decimal places.) O
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 150. The psychologist gathers a random sample of 10 SI scores of smokers and finds that their mean is 177 and their standard deviation is 30. Assume that the population of SI scores of smokers is normally distributed with mean µ. Based on the sample, can the psychologist conclude that µ 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: H, :0 H, :0 (b) Determine the type of test statistic to use. t Degrees of freedom: 9 O=0 OSO O20 (c) Find the value of the test statistic. (Round to three or more decimal places.) O
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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 150.
The psychologist gathers a random sample of 10 SI scores of smokers and finds that their mean
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
177 and their standard deviation is 30. Assume that the
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 H and the alternative hypothesis H.
Ho :0
H :0
(b) Determine the type of test statistic to use.
t
Degrees of freedom: 9
D=0
OSO
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
?
(d) Find the two critical values. (Round to three or more decimal places.)
O and O
(e) At the 0.05 level of significance, can the psychologist conclude that the mean
SI score among smokers is different from 150?
OYes ONo](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe18978a5-daed-417b-bda5-fb0188242e22%2F90d8eb8d-8c0d-482d-8b46-f6ef49f0db19%2Ffjf110s_processed.png&w=3840&q=75)
Transcribed Image Text: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 150.
The psychologist gathers a random sample of 10 SI scores of smokers and finds that their mean
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
177 and their standard deviation is 30. Assume that the
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 H and the alternative hypothesis H.
Ho :0
H :0
(b) Determine the type of test statistic to use.
t
Degrees of freedom: 9
D=0
OSO
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
?
(d) Find the two critical values. (Round to three or more decimal places.)
O and O
(e) At the 0.05 level of significance, can the psychologist conclude that the mean
SI score among smokers is different from 150?
OYes ONo
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