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Joy works at a store that sells sh, sh tanks, and sh supplies. She selects a random sample of 15 customers from the store's database and asks each customer what their tank size is (in gallons} and how man}.r sh they,r have in the tank. The data are shown below. Tank size (gallons) Number of Fish [0 4 20 3 4-0 [2 30 l 1 ISO 5 30 9 30 6 50 5 ISO 9 4-0 3 30 4 4-0 3 30 6 50 4 4-0 [3 Do these data provide convincing evidence at the a = 0.01 level of a linear relationship between tank size (gallons) and number of sh in the population of all customers of this sh store? STATE: STATE: Ho: Ha: where = the slope of the regression line relating y = number of fish to x = tank size (gallons) in the population of customers of this store using a = 0.01.PLAN : t test for the slope After placing the phrases, assume the conditions for Place the phrases in the appropriate boxes. inference are met and continue to the "DO" step. Linear Independent Normal Equal SD Random Check this by examining a histogram of the residuals. Look for no strong skewness or outliers. The scatter of points around the residual = I] line should he the same for all xvalues. Check this by examining the seatmplot. Look for a clear linear pattern. 15 t: 10% ofal] customers of this store. This is aramiom sample of [5 customers. df = :1 (m 3" mm} 1' = :] (Enter 3 decimal places) Pvalue = C] (Enter at least 3 decimal places) CONCLUDE: Because the Pvalue I , | a: = 0.01, we I v |. There | , convincing evidence of a linear relationship between tank size (gallons) and number of sh in the population of customers of this store