Question 5 0 / 2 pts Potato Context Repeated The weight of a Russet potato typically ranges between 100 grams to 250 grams, depending on the type and size of the potato. For this problem, we will assume that the weight of the potato has a bell-shaped distribution with a mean weight of 176.5 grams and a standard deviation of 26.6 grams. For this question, assume you are working with the sampling distribution for the mean weight of potato in a 10lb (around 4.5 kg) sack. This sampling distribution is based on samples of size 25 potatoes. What is the approximate weight such that only 2.22% of samples of size 25 have a mean weight more than this weight? Record your final answer with at least 2 decimal places. Hint: Think about how the wording of this question is slightly different from question 4.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question 5
0 / 2 pts
Potato Context Repeated
The weight of a Russet potato typically ranges between 100 grams to 250
grams, depending on the type and size of the potato. For this problem, we will
assume that the weight of the potato has a bell-shaped distribution with a
mean weight of 176.5 grams and a standard deviation of 26.6 grams.
For this question, assume you are working with the sampling distribution for
the mean weight of potato in a 10lb (around 4.5 kg) sack. This sampling
distribution is based on samples of size 25 potatoes.
What is the approximate weight such that only 2.22% of samples of size 25
have a mean weight more than this weight?
Record your final answer with at least 2 decimal places.
Hint: Think about how the wording of this question is slightly different from
question 4.
Transcribed Image Text:Question 5 0 / 2 pts Potato Context Repeated The weight of a Russet potato typically ranges between 100 grams to 250 grams, depending on the type and size of the potato. For this problem, we will assume that the weight of the potato has a bell-shaped distribution with a mean weight of 176.5 grams and a standard deviation of 26.6 grams. For this question, assume you are working with the sampling distribution for the mean weight of potato in a 10lb (around 4.5 kg) sack. This sampling distribution is based on samples of size 25 potatoes. What is the approximate weight such that only 2.22% of samples of size 25 have a mean weight more than this weight? Record your final answer with at least 2 decimal places. Hint: Think about how the wording of this question is slightly different from question 4.
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