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Many couples believe that it is getting too expensive to host an \"average weddi

ID: 3208794 • Letter: M

Question

Many couples believe that it is getting too expensive to host an "average wedding in the United States According to the website www.costofwedding.com, the average cost of a wedding the use in 2009 was s24o66. Recently, in a random in sample of 20 weddings in the US it was found t the average cost of a wedding was $23.224, with a standard deviation of $2.903. Test the claim that the average cost of a wedding has decreased since 2009. State the null hypothesis and the conclusion for significance level a 0.05. H_0: mu = $24, 066. Reject H_0 H_0: mu = $24.066, Do not reject H_0 H_0 mu = $23.224, Reject H_0 H_0 mu = $23.224, Do not reject H_0

Explanation / Answer

Ho: µ=>$24066

H1: µ<$24066

tSTAT=X-µ/S/sqrt(n)

        =23244-24066/2903/sqrt(20)

        =-3676.09/2903

        =-1.26

at a=0.05, the critical value would be -1.645 (because it is a lower tailed test). Since -1.26 is greater than -1.645, it does not lie in the rejection region. Hence do not reject null hypothesis.

Hence, the correct answer would be B (Ho: µ=$24066; Do not reject H0)

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