Suppose that the mean weight of a particular type of ripe tomato is 155 g, and the variance of the weight of this type of ripe tomato is 576, A random sample of n = 36 such ripe tomatoes is obtained. (i) What is the approximate distribution of the sample mean weight of the random sample of 36 ripe tomatoes? (ii} (ii) Find the probability that the sample mean weight of the sample of 36 ripe tomatoes lies between 150 g and 157.5 g.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Part c, ii
Suppose that the mean weight of a particular type of ripe tomato is 155 g, and the variance of the
weight of this type of ripe tomato is 576,² A random sample of n = 36 such ripe tomatoes is
obtained.
(i)
What is the approximate distribution of the sample mean weight of the random sample
of 36 ripe tomatoes?
(ii)
(ii) Find the probability that the sample mean weight of the sample of 36 ripe tomatoes
lies between 150 g and 157.5 g.
vords
x Accessibility: Investigate
OFocus
18/01
B
带。
Transcribed Image Text:Part c, ii Suppose that the mean weight of a particular type of ripe tomato is 155 g, and the variance of the weight of this type of ripe tomato is 576,² A random sample of n = 36 such ripe tomatoes is obtained. (i) What is the approximate distribution of the sample mean weight of the random sample of 36 ripe tomatoes? (ii) (ii) Find the probability that the sample mean weight of the sample of 36 ripe tomatoes lies between 150 g and 157.5 g. vords x Accessibility: Investigate OFocus 18/01 B 带。
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