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(a) If the sample standard deviation is determined to be s=2.4​, compute the test statistic.   χ20=nothing ​(Round to three decimal places as​ needed.)   ​(b) If the researcher decides to test this hypothesis at the α=0.10 level of​ significance, determine the critical value.   The critical value is nothing. ​(Round to three decimal places as​ needed.)   ​(c) Draw a​ chi-squared distribution and depict the critical region. Choose the correct graph below.

(a) If the sample standard deviation is determined to be s=2.4​, compute the test statistic.   χ20=nothing ​(Round to three decimal places as​ needed.)   ​(b) If the researcher decides to test this hypothesis at the α=0.10 level of​ significance, determine the critical value.   The critical value is nothing. ​(Round to three decimal places as​ needed.)   ​(c) Draw a​ chi-squared distribution and depict the critical region. Choose the correct graph below.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Question
To test
H0: σ=2.6
versus
H1: σ<2.6​,
a random sample of size
n=21
is obtained from a population that is known to be normally distributed.
 
Chi-Squared Distribution Table
​(a) If the sample standard deviation is determined to be
s=2.4​,
compute the test statistic.
 
χ20=nothing
​(Round to three decimal places as​ needed.)
 
​(b) If the researcher decides to test this hypothesis at the
α=0.10
level of​ significance, determine the critical value.
 
The critical value is
nothing.
​(Round to three decimal places as​ needed.)
 
​(c) Draw a​ chi-squared distribution and depict the critical region. Choose the correct graph below.
 
 
A.
 
 
 
 
 
 
  •  
  •  
  •  
A graph with unlabeled horizontal and vertical axes contains a chi-square distribution curve that rises from left to right at an increasing and then decreasing rate to a peak about one quarter of the way from the left edge of the graph and then falls from left to right at an increasing and then decreasing rate to the right edge of the graph. There is a vertical line that extends from the horizontal axis to the curve at a point on the curve to the left of the peak. The region under the curve to the right of this vertical line is shaded.
 
B.
 
 
 
 
 
 
  •  
  •  
  •  
A graph with unlabeled horizontal and vertical axes contains a chi-square distribution curve that rises from left to right at an increasing and then decreasing rate to a peak about one quarter of the way from the left edge of the graph and then falls from left to right at an increasing and then decreasing rate to the right edge of the graph. There is a vertical line that extends from the horizontal axis to the curve at a point on the curve to the right of the peak. The region under the curve to the right of this vertical line is shaded.
 
C.
 
 
 
 
 
 
  •  
  •  
  •  
A graph with unlabeled horizontal and vertical axes contains a chi-square distribution curve that rises from left to right at an increasing and then decreasing rate to a peak about one quarter of the way from the left edge of the graph and then falls from left to right at an increasing and then decreasing rate to the right edge of the graph. There is a vertical line that extends from the horizontal axis to the curve at a point on the curve to the right of the peak. The region under the curve between the vertical axis and this vertical line is shaded.
 
D.
 
 
 
 
 
 
  •  
  •  
  •  
A graph with unlabeled horizontal and vertical axes contains a chi-square distribution curve that rises from left to right at an increasing and then decreasing rate to a peak about one quarter of the way from the left edge of the graph and then falls from left to right at an increasing and then decreasing rate to the right edge of the graph. There is a vertical line that extends from the horizontal axis to the curve at a point on the curve to the left of the peak. The region under the curve between the vertical axis and this vertical line is shaded.
 
​(d) Will the researcher reject the null​ hypothesis? Why? Choose the correct answer below.
 
No​,
because
χ20<χ20.90.
 
No​,
because
χ20>χ20.90.
 
Yes​,
because
χ20>χ20.90.
 
Yes​,
because
χ20<χ20.90.
 
Click to select your answer(s).
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ISBN:
9780321964038
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Publisher:
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