A consumer protection group is concerned that a ketchup manufacturer is filling

ID: 3158262 • Letter: A

Question

A consumer protection group is concerned that a ketchup manufacturer is filling its 20-ounce family-size

containers with less than 20 ounces of ketchup. The group purchases 10 family-size bottles of this ketchup,

weighs the contents of each, and finds that the mean weight is equal to 19.86 ounces, and the standard

deviation is equal to .22 ounce.

1) Form a 95% confidence interval for the mean weight of ketchup in the manufacturer’s family-size bottles.

2) Do the data provide sufficient evidence for the consumer group to conclude that the mean fill per familysize

bottle is less than 20 ounces? Test using =.05.

alpha / 2 = 0.025 df ) 9 t= 2.262

I: 19.86 +/- 2.262 * 0.22 / srqt 10

19.86 +/- 0.1574

19.7026 < miu < 20.0174

since 20 ounces is in the interval we can conclude that the data does not provide suffcient evidence

or the consumer group to conclude that the mean fill per familysize

bottle is less than 20 ounces

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