For the following​ claim, find the null and alternative​ hypotheses, test​ statistic, critical​ value, and draw a conclusion. Assume that a simple random sample has been selected from a normally distributed population. Answer parts ​a-d.   ​Claim: The mean IQ score of statistics professors is less thanless than 119119. Sample​ data: nequals=1313​, x overbarxequals=117117​, sequals=33. The significance level is alphaαequals=0.05.   LOADING... Click the icon to view a table of critical​ t-values. a. Choose the correct null hypothesis ​(Upper H 0H0​) and alternative hypothesis ​(Upper H 1H1​).     A. Upper H 0H0​: muμless than<119119                               Upper H 1H1​: muμequals=119119 Your answer is not correct.   B. Upper H 0H0​: muμless than<119119                               Upper H 1H1​: muμgreater than>119119   C. Upper H 0H0​: muμequals=119119                               Upper H 1H1​: muμnot equals≠119119   D. Upper H 0H0​: muμequals=119119                               Upper H 1H1​: muμless than<119119 This is the correct answer.

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For the following​ claim, find the null and alternative​ hypotheses, test​ statistic, critical​ value, and draw a conclusion. Assume that a simple random sample has been selected from a normally distributed population. Answer parts ​a-d.
 
​Claim: The mean IQ score of statistics professors is
less thanless than
119119.
Sample​ data:
nequals=1313​,
x overbarxequals=117117​,
sequals=33.
The significance level is
alphaαequals=0.05.
 
LOADING...
Click the icon to view a table of critical​ t-values.
a. Choose the correct null hypothesis
​(Upper H 0H0​)
and alternative hypothesis
​(Upper H 1H1​).
 
 
A.
Upper H 0H0​:
muμless than<119119
                             
Upper H 1H1​:
muμequals=119119
Your answer is not correct.
 
B.
Upper H 0H0​:
muμless than<119119
                             
Upper H 1H1​:
muμgreater than>119119
 
C.
Upper H 0H0​:
muμequals=119119
                             
Upper H 1H1​:
muμnot equals≠119119
 
D.
Upper H 0H0​:
muμequals=119119
                             
Upper H 1H1​:
muμless than<119119
This is the correct answer.
b. Determine the test statistic t.
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