Each box of Healthy Crunch breakfast cereal contains a coupon entitling you to a free package of garden seeds. At the Healthy Crunch home office, they use the weight of incoming mail to determine how many of their employees are to be assigned to collecting coupons and mailing out seed packages on a given day. (Healthy Crunch has a policy of answering all its mail on the day it is received.) Let x = weight of incoming mail and y = number of employees required to process the mail in one working day. A random sample of 8 days gave the following data. x (lb) 9 21 15 6 12 18 23 25 y (Number of employees) 5 10 11 5 8 14 13 16 In this setting we have Σx = 129, Σy = 82, Σx2 = 2405, Σy2 = 956, and Σxy = 1497.(e) If Healthy Crunch receives 16 pounds of mail, how many employees should be assigned mail duty that day? (Round your answer to two decimal places.) employees e) If Healthy Crunch receives 16 pounds of mail, how many employees should be assigned mail duty that day? (Round your answer to two decimal places.) employees (f) Find Se. (Round your answer to three decimal places.) Se = (g) Find a 95% for the number of employees required to process mail for 16 pounds of mail. (Round your answer to two decimal places.) lower limit employees upper limit employees
Each box of Healthy Crunch breakfast cereal contains a coupon entitling you to a free package of garden seeds. At the Healthy Crunch home office, they use the weight of incoming mail to determine how many of their employees are to be assigned to collecting coupons and mailing out seed packages on a given day. (Healthy Crunch has a policy of answering all its mail on the day it is received.) Let x = weight of incoming mail and y = number of employees required to process the mail in one working day. A random sample of 8 days gave the following data.
| x (lb) | 9 | 21 | 15 | 6 | 12 | 18 | 23 | 25 |
| y (Number of employees) | 5 | 10 | 11 | 5 | 8 | 14 | 13 | 16 |
In this setting we have Σx = 129, Σy = 82, Σx2 = 2405, Σy2 = 956, and Σxy = 1497.(e) If Healthy Crunch receives 16 pounds of mail, how many employees should be assigned mail duty that day? (Round your answer to two decimal places.)
employees
e) If Healthy Crunch receives 16 pounds of mail, how many employees should be assigned mail duty that day? (Round your answer to two decimal places.)
employees
(f) Find Se. (Round your answer to three decimal places.)
Se =
(g) Find a 95% for the number of employees required to process mail for 16 pounds of mail. (Round your answer to two decimal places.)
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| upper limit | employees |
(h) Test the claim that the slope ? of the population least-squares line is positive at the 1% level of significance. (Round your test statistic to three decimal places.)
i) Find an 80% confidence interval for ? and interpret its meaning. (Round your answers to three decimal places.)
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h) Test the claim that the slope ? of the population least-squares line is positive at the 1% level of significance. (Round your test statistic to three decimal places.)
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