23.25, It isassumed 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 23.25OB. H, : X = 22.09, HA: X >...


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<br>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<br>assumed that the standard deviation in the bill amounts is $12.19 (a= 12.19).<br>(a) Choose the correct statistical hypotheses.<br>OA. Ho : X > 23.25, HA: Xs 23.25<br>OB. H, : X = 22.09, HA: X > 22.00<br>OC. H, : X = 22.09, H: X+ 22.09<br>OD. Ho : u= 22.09, H: H 22.09<br>OE. Ho : X = 23.25, H:X> 23.25<br>F. Ha: = 22.09 H:u> 22.09<br>OG. Ho : 4> 22.09, HA : H< 22.09<br>(b) What is the probability of making a Type l error, using the statistician's criterion? Use at least three decimais in your answer.<br>P(Type I)=<br>(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<br>customer spends on a dry cleaning order exceeds $22.09 (his original belief) is correct. Use at least three decimals in your answer.<br>Answer<br>(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<br>(a) be rejected?<br>OA. Reject the null hypothesis if u > 24.1<br>OB. Reject the null hypothesis if X > 22.09<br>OC. Reject the null hypothesis if X > 42,14<br>OD. Reject the null hypothesis if A> 42.14<br>OE. Reject the nul hypothesis if X > 23.25<br>OF. Reject the null hypothesis if pu > 23.51<br>G. Reject the null hypothesis if X > 23.51<br>H. Reject the null hypothesis if X > 24.1<br>

Extracted 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
Jun 07, 2022
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