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 0.4 ounces. A random sample of 25 boxes yielded a sample mean weight of 19.59 ounces. Test at the 1% significance level the null hypothesis that the population mean weight is at least 20 ounces. What are the null and alternative hypotheses for this test? Ο Α. Η: με 20 H₁: μ> 20 OC. H₂ = 20 Η;: μ = 19.59 OA. Reject H₂ if For this test at the significance level a with sample mean x, hypothesized mean Ho, population standard deviation o, sample size n, and za or Za/2, what is the form of the decision rule? OB. Reject Ho if OC. Reject Ho if X-Ho 0/√n X-Ho 0/√n ->Za X-Ho <-Za/2 or reject H, if 0/√n <-Za Determine the appropriate value(s) of -Za. Za or ±Za/2- x-Ho 0/√n State the conclusion of this test. =(Type an integer or a decimal.) x-Ho 0/√n the null hypothesis. There (Round to two decimal places as needed. Use a comma to separate answers as needed.) Calculate the decision statistic. reject not reject >Zal2 OB. Ho: μ=20 H₁: μ#20 OD. Ho: ≥20 H₁: μ<20 is is not significant evidence that the population mean weight is not at least 20 ounces.
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 0.4 ounces. A random sample of 25 boxes yielded a sample mean weight of 19.59 ounces. Test at the 1% significance level the null hypothesis that the population mean weight is at least 20 ounces. What are the null and alternative hypotheses for this test? Ο Α. Η: με 20 H₁: μ> 20 OC. H₂ = 20 Η;: μ = 19.59 OA. Reject H₂ if For this test at the significance level a with sample mean x, hypothesized mean Ho, population standard deviation o, sample size n, and za or Za/2, what is the form of the decision rule? OB. Reject Ho if OC. Reject Ho if X-Ho 0/√n X-Ho 0/√n ->Za X-Ho <-Za/2 or reject H, if 0/√n <-Za Determine the appropriate value(s) of -Za. Za or ±Za/2- x-Ho 0/√n State the conclusion of this test. =(Type an integer or a decimal.) x-Ho 0/√n the null hypothesis. There (Round to two decimal places as needed. Use a comma to separate answers as needed.) Calculate the decision statistic. reject not reject >Zal2 OB. Ho: μ=20 H₁: μ#20 OD. Ho: ≥20 H₁: μ<20 is is not significant evidence that the population mean weight is not at least 20 ounces.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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
0.4 ounces. A random sample of 25 boxes yielded a sample mean weight of 19.59 ounces. Test at the 1% significance level the null hypothesis that the population mean weight is at
least 20 ounces.
What are the null and alternative hypotheses for this test?
Ο Α. Η: με 20
H₁: μ> 20
OC. H₂ = 20
Η;: μ = 19.59
OA. Reject H₂ if
For this test at the significance level a with sample mean x, hypothesized mean Ho, population standard deviation o, sample size n, and za or Za/2, what is the form of the
decision rule?
OB. Reject Ho if
OC. Reject Ho if
X-Ho
0/√n
X-Ho
0/√n
->Za
X-Ho
<-Za/2 or reject H, if
0/√n
<-Za
Determine the appropriate value(s) of -Za. Za or ±Za/2-
x-Ho
0/√n
State the conclusion of this test.
=(Type an integer or a decimal.)
x-Ho
0/√n
the null hypothesis. There
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
Calculate the decision statistic.
reject
not reject
>Zal2
OB. Ho: μ=20
H₁: μ#20
OD. Ho: ≥20
H₁: μ<20
is
is not
significant evidence that the population mean weight is not at least 20 ounces.
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