A manufacturer of detergent claims that the contents of boxes sold weigh on average at least 20 ounces. The distribution of weight is known to be normal, with a standard deviation of 0.5 ounces. A random sample of 16 boxes yielded a sample mean weight of 19.71 ounces. Test at the 5% significance level the null hypothesis that the population mean weight is at least 20 ounces. O C. Ho: Hs20 H;: µ> 20 Ο D. H , μ= 20 H;: µ#20 For this test at the significance level a with sample mean x, hypothesized mean Ho, population standard deviation o, sample size n, and z, or z/2, what is the form of the decision rule? O A. Reject Ho if x- Ho >za x- HO B. Reject Ho if < - Za x- HO x- H0 O C. Reject Họ if > Za/2 <-Za/2 or reject H, if o/ yn Determine the appropriate value(s) of - Za, Za or ±Za/2• (Round to three decimal places as needed. Use a comma to separate answers as needed.)

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Determine the appropriate​ value(s) of

 
A manufacturer of detergent claims that the contents of boxes sold weigh on average at least 20 ounces. The distribution of weight is known to be normal, with a
standard deviation of 0.5 ounces. A random sample of 16 boxes yielded a sample mean weight of 19.71 ounces. Test at the 5% significance level the null hypothesis
that the population mean weight is at least 20 ounces.
C. Ho μΕ 20
Η: μ> 20
D. H, μ 20
H4: µ # 20
For this test at the significance level a with sample mean x, hypothesized mean Ho, population standard deviation o, sample size n, and z, or z,/2, what is the form of
the decision rule?
x-Ho
A. Reject Ho if
> Za
X- HO
B. Reject Ho if
く-
Za
x- Ho
x- Ho
or reject Ho if
o/ vn
- Za/2
> Za/2
< -
C. Reject H, if
Determine the appropriate value(s) of - Zg, Za or ±Za/2:
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
Transcribed Image Text:A manufacturer of detergent claims that the contents of boxes sold weigh on average at least 20 ounces. The distribution of weight is known to be normal, with a standard deviation of 0.5 ounces. A random sample of 16 boxes yielded a sample mean weight of 19.71 ounces. Test at the 5% significance level the null hypothesis that the population mean weight is at least 20 ounces. C. Ho μΕ 20 Η: μ> 20 D. H, μ 20 H4: µ # 20 For this test at the significance level a with sample mean x, hypothesized mean Ho, population standard deviation o, sample size n, and z, or z,/2, what is the form of the decision rule? x-Ho A. Reject Ho if > Za X- HO B. Reject Ho if く- Za x- Ho x- Ho or reject Ho if o/ vn - Za/2 > Za/2 < - C. Reject H, if Determine the appropriate value(s) of - Zg, Za or ±Za/2: (Round to three decimal places as needed. Use a comma to separate answers as needed.)
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