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A restaurant association says the typical household spends a mean of $3610 per y

ID: 1886553 • Letter: A

Question

A restaurant association says the typical household spends a mean of $3610 per year on food away from home. You are a consumer reporter for a national publication and want to test this claim. You randomly select 12 households and find out how' much each spent on food away from home per year. Can you reject the restaurant association's claim at alpha = 0.01? Complete parts (a) through (d). 2754 2434 2565 3616 2633 3049 2674 2323 3484 4510 2407 4272 Write the claim mathematically and identify H0 and Ha. Choose the correct answer below. H0: mu $3610 (claim) Ha: mu $3610 (claim) Ha: mu $3610 H0: mu = $3610 (claim) Ha: mu > $3610 Use technology to find the P-value. P = (Round to two decimal places as needed.)

Explanation / Answer

the data has mean 3060.083 and s.d. 744.1845 t=(3060.083-3610)/(744.1845/sqrt(12))= -2.559805 the p value is 2*p(T< -2.559805)= 0.03 Answer:0.03