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  140 . The psychologist gathers a random sample of  12  SI scores of smokers and finds that their mean is  157  and their standard deviation is  34 . 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  140 ? 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: H0:   The alternative hypothesis: H1:   The type of test statistic: (Choose one)ZtChi squareF             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  140 ?   Yes     No

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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 
140
.

The psychologist gathers a random sample of 

12
 SI scores of smokers and finds that their mean is 
157
 and their standard deviation is 
34
. 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 
140
? 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:
H0:
 
The alternative hypothesis:
H1:
 
The type of test statistic: (Choose one)ZtChi squareF      
     
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 
140
?
 
Yes
 
 
No
 
 
 
 
 
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