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A medicine board would like to investigate the theory that a mother's shoe size can be used to predict an infant's birth weight in pounds.

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A medicine board would like to investigate the theory that a mother's shoe size can be used to predict an infant's birth weight in pounds. The accompanying table records a random sample of the shoe sizes of 10 mothers and the birth weights of their infants. Complete parts a through c. Click the icon to view the table showing shoe size and birth weight. Table of shoe size and birth weight - X a. Using a = 0.10, test the significance of the regression slope. The hypotheses for this test are Ho: B, =0 and H1 : B, #0. Shoe Size Birth Weight 7.5 7.3 The test statistic is 2.57. 8.0 7.7 (Type an integer or decimal rounded to two decimal places as needed.) 9.0 8.1 8.5 9.4 The p-value is 8.5 7.8 (Type an integer or decimal rounded to three decimal places as needed.) 8.0 6.7 8.5 9.3 7.5 6.3 8.0 9.2 9.0 9.9

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