The population of weights of a particular fruit is normally distributed, with a mean of 325 grams and a standard deviation of 13 grams. If 2 fruits are picked at random, then 8% of the time, their mean weight will be greater than how many grams? Round your answer to the nearest gram.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
icon
Related questions
Question
The population of weights of a particular fruit is normally distributed, with a mean of 325 grams and a
standard deviation of 13 grams. If 2 fruits are picked at random, then 8% of the time, their mean weight
will be greater than how many grams? Round your answer to the nearest gram.
Question Help: D Video
Submit Question
Transcribed Image Text:The population of weights of a particular fruit is normally distributed, with a mean of 325 grams and a standard deviation of 13 grams. If 2 fruits are picked at random, then 8% of the time, their mean weight will be greater than how many grams? Round your answer to the nearest gram. Question Help: D Video Submit Question
Expert Solution
Step 1

From the provided information,

Mean (µ) = 325 grams

Standard deviation (σ) = 13 grams

X~N (325, 13)

Step 2

If 2 fruits are picked at random, then 8% of the time, their mean weight that will be greater than required grams can be obtained as:

Statistics homework question answer, step 2, image 1

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill