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17 Quiz: Chapter 7 Quiz This Q : 1 pt This Quiz: 23 pts poss Help A county is co

ID: 3291396 • Letter: 1

Question

17 Quiz: Chapter 7 Quiz This Q : 1 pt This Quiz: 23 pts poss Help A county is considering rasing the speed limit on a road because they claim that the mean speed of standard deviation of 4 s miles per hour At a 001, do you have snough evidence to support the county's claim? Complete parts (a) through (d) below a voticles is greater than 40 mles per houx A random sample of 15 vehicles has a mean spoed of 41 miles per hour and a A. Ho 240 (b) Calculate the standardized test statissc (Rond to two decirnal places as needed) Pa..(Round to three decimal places as needed ) (c) Decide whether to eject or tail to reject the null hypothesis O A. Fail to reject Ho because the P-value is greater than the significance level 01 B, Faa to reiecth, because th* P-value less than the sinikance level. 0 01 o setect your answer(s)

Explanation / Answer

a) option c H0; MU<=40

HA : MU>40

B) RANDOM SAMPLE n= 15 so df= 15-1=14

t=(x^-u)/s/srtn =( 41-40)/4.9/sqrt15= 0.7904

pvalue = p(0.7904 ) from standard ztable = 0.7852

c) df= 14 a =0.01 t critical =from t table = 2.977

pvalue 0.7852 < critical value 2.977

option b fail to rject ho because p value is less than significance level 0.01

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