A restarant association says the typical household spends a mean of $3209 per year on food away from home. You are a consumer reporter for a national rpublication and want to test this claim. You randomly selsect 12 households and find out how much each spen on food away from home per year. Can you reject the resturant association's claim at a=0.02?

2048, 3300, 1942, 2393, 2423, 2085, 2786, 3435, 4036, 2567, 2186, 3909

a. Write the claim mathematically and identify Null and alternative hypothesis.

b. Use technology to find P-value

c. Decide whether to reject or fail the null hypothesis

d. Interpret the decision in the context of the original claim. Assume the population is normally distributed.