The cholesterol levels of adult males are approximately normally distributed with a mean of 224 mg/dL and a variance, o, of 495. Some researchers claim that the variance of cholesterol levels of adult males is less than 495. A sample of 17 adult males' blood tests had a mean of 223 mg/dL and a variance of 274. Is there enough evidence to conclude, at the 0.05 level of significance, that the variance of cholesterol levels of adult males is less than 495? Perform a one-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. (If necessary, consult a list of formulas.) The null hypothesis: = 495 H, : < 495 The alternative hypothesis: OSO Degrees of freedom: The type of test statistic: Chi square 16 The value of the test statistic: (Round to at least three decimal places.) 8.857 The critical value at the 0.05 level of significance: (Round to at least three decimal places.) 26.296 Can we support the claim that the variance of O Yes O No cholesterol levels of adult males is less than 495?

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The cholesterol levels of adult males are approximately normally distributed with a mean of 224 mg/dL and a variance, o
of 495. Some researchers claim that
the variance of cholesterol levels of adult males is less than 495. A sample of 17 adult males' blood tests had a mean of 223 mg/dL and a variance of 274. Is
there enough evidence to conclude, at the 0.05 level of significance, that the variance of cholesterol levels of adult males is less than 495?
Perform a one-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. (If necessary, consult a list of formulas.)
The null hypothesis:
H
= 495
X
The alternative hypothesis:
H.
< 495
ロ=ロ
Degrees of
freedom:
The type of test statistic:
Chi square
16
ロ#ロ
O<O
The value of the test statistic:
(Round to at least three
decimal places.)
8.857
The critical value at the 0.05
level of significance:
(Round to at least three
decimal places.)
26.296
Can we support the claim that the variance of
No
Yes
cholesterol levels of adult males is less than 495?
9.
Transcribed Image Text:The cholesterol levels of adult males are approximately normally distributed with a mean of 224 mg/dL and a variance, o of 495. Some researchers claim that the variance of cholesterol levels of adult males is less than 495. A sample of 17 adult males' blood tests had a mean of 223 mg/dL and a variance of 274. Is there enough evidence to conclude, at the 0.05 level of significance, that the variance of cholesterol levels of adult males is less than 495? Perform a one-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. (If necessary, consult a list of formulas.) The null hypothesis: H = 495 X The alternative hypothesis: H. < 495 ロ=ロ Degrees of freedom: The type of test statistic: Chi square 16 ロ#ロ O<O The value of the test statistic: (Round to at least three decimal places.) 8.857 The critical value at the 0.05 level of significance: (Round to at least three decimal places.) 26.296 Can we support the claim that the variance of No Yes cholesterol levels of adult males is less than 495? 9.
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