The owner of a dry cleaning store belleves that the mean amount a customer spends on a dry cleaning order exceeds $22.09. A statistician has said to him that he can be statistically sure that his bellef is true if the mean amount of 100 randomly chosen customer bills is greater than $23.25, or X > 23.25, It is assumed that the standard deviation in the bill amounts is $12.19 (a= 12.19). a) Choose the correct statistical hypotheses. A. Ho : X > 23.25, HA: Xs 23.25 B. Ho : X = 22.09, HA: X > 22.00 DC. H,: X = 22.09, H: X+ 22.09 D. H: u = 22.09, PE. Ho : X- 23.25, HA:X> 23.25 F. H: u= 22.09 H:> 22.09 G. Ha : 4> 22.09, H:H< 22.09 HA+ 22.09 ) What is the probabilily of making a Type I error, using the statistician's criterion? Use at least three decimals in your answer. P(Type I) = =) Unknown to anyone, suppose the mean amount spent by all his customers is $22.82. Find the probability that the owner will conclude that the mean amount a ustomer spends on a dry cleaning order exceeds $22.09 (his original belief) is correct. Use at least three decimals in your answer. nswer Suppose the statistician decides to change the sample size to n = 200 and regulate P(Type I) = 0.05. For what values of X should the null hypothesis in ) be rejected? A. Reject the nul hypothesis if > 24.1 B. Reject the null hypothesis if X > 22.09 C. Reject the null hypothesis if X > 42,14 D. Reject the null hypothesis if > 42.14 E. Reject the nul hypothesis if X > 23.25 F. Reject the null hypothesis if u > 23.51 G. Reject the nul hypothesis if X > 23.51 H. Reject the null hypothesis if X > 24.1
The owner of a dry cleaning store belleves that the mean amount a customer spends on a dry cleaning order exceeds $22.09. A statistician has said to him that he can be statistically sure that his bellef is true if the mean amount of 100 randomly chosen customer bills is greater than $23.25, or X > 23.25, It is assumed that the standard deviation in the bill amounts is $12.19 (a= 12.19). a) Choose the correct statistical hypotheses. A. Ho : X > 23.25, HA: Xs 23.25 B. Ho : X = 22.09, HA: X > 22.00 DC. H,: X = 22.09, H: X+ 22.09 D. H: u = 22.09, PE. Ho : X- 23.25, HA:X> 23.25 F. H: u= 22.09 H:> 22.09 G. Ha : 4> 22.09, H:H< 22.09 HA+ 22.09 ) What is the probabilily of making a Type I error, using the statistician's criterion? Use at least three decimals in your answer. P(Type I) = =) Unknown to anyone, suppose the mean amount spent by all his customers is $22.82. Find the probability that the owner will conclude that the mean amount a ustomer spends on a dry cleaning order exceeds $22.09 (his original belief) is correct. Use at least three decimals in your answer. nswer Suppose the statistician decides to change the sample size to n = 200 and regulate P(Type I) = 0.05. For what values of X should the null hypothesis in ) be rejected? A. Reject the nul hypothesis if > 24.1 B. Reject the null hypothesis if X > 22.09 C. Reject the null hypothesis if X > 42,14 D. Reject the null hypothesis if > 42.14 E. Reject the nul hypothesis if X > 23.25 F. Reject the null hypothesis if u > 23.51 G. Reject the nul hypothesis if X > 23.51 H. Reject the null hypothesis if X > 24.1
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Transcribed Image Text:The owner of a dry cleaning store belleves that the mean amount a customer spends on a dry cleaning order exceeds $22.09. A statistician has said to him
that he can be statistically sure that his bellef is true if the mean amount of 100 randomly chosen customer bills is greater than $23.25, or X> 23.25, It is
assumed that the standard deviation in the bill amounts is $12.19 (a= 12.19).
(a) Choose the correct statistical hypotheses.
OA. Ho : X > 23.25, HA: Xs 23.25
OB. H, : X = 22.09, HA: X > 22.00
OC. H, : X = 22.09, H: X+ 22.09
OD. Ho : u= 22.09, H: H 22.09
OE. Ho : X = 23.25, H:X> 23.25
F. Ha: = 22.09 H:u> 22.09
OG. Ho : 4> 22.09, HA : H< 22.09
(b) What is the probability of making a Type l error, using the statistician's criterion? Use at least three decimais in your answer.
P(Type I)=
(c) Unknown to anyone, suppose the mean amount spent by all his customers is $22.82. Find the probability that the owner will conclude that the mean amount a
customer spends on a dry cleaning order exceeds $22.09 (his original belief) is correct. Use at least three decimals in your answer.
Answer
(d) Suppose the statistician decides to change the sample size to n = 200 and regulate P(Type I) = 0.05. For what values of X should the null hypothesis in
(a) be rejected?
OA. Reject the null hypothesis if u > 24.1
OB. Reject the null hypothesis if X > 22.09
OC. Reject the null hypothesis if X > 42,14
OD. Reject the null hypothesis if A> 42.14
OE. Reject the nul hypothesis if X > 23.25
OF. Reject the null hypothesis if pu > 23.51
G. Reject the null hypothesis if X > 23.51
H. Reject the null hypothesis if X > 24.1
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