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. tne aecision ruie? x- H0 > Za A. Reject H, if x- H0 B. Reject Ho if < - Za x- Ho x- HO O C. Reject H, if < - Z«/2 or reject H, if o/ yn > Za/2 Determine the appropriate value(s) of - Za, Za or ±Za/2· 1.645 (Round to three decimal places as needed. Use a comma to separate answers as needed.) Calculate the decision statistic. x- H0 (Type an integer or a decimal.)

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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.
the decision ruie?
X- HO
O A. Reject Ho if
> Za
0/ Vn
Xー PO
く-
B. Reject H, if
xー PO
Xー HO
O C. Reject Ho if
> Za/2
< - Za/2 or reject Ho if
o/ yn
Determine the appropriate value(s) of - Za, Za or ±Za/2:
- 1.645
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
Calculate the decision statistic.
X- Ho
(Type an integer or a decimal.)
6/ yn
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. the decision ruie? X- HO O A. Reject Ho if > Za 0/ Vn Xー PO く- B. Reject H, if xー PO Xー HO O C. Reject Ho if > Za/2 < - Za/2 or reject Ho if o/ yn Determine the appropriate value(s) of - Za, Za or ±Za/2: - 1.645 (Round to three decimal places as needed. Use a comma to separate answers as needed.) Calculate the decision statistic. X- Ho (Type an integer or a decimal.) 6/ yn
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