Question

A population of values has a normal distribution with μ=77.4 and σ=61.3. You intend to draw a random sample of size n=18. Find the probability that a single randomly selected value is between 42.7 and 102. P(42.7 < X < 102) = Find the probability that a sample of size n=18 is randomly selected with a mean between 42.7 and 102. P(42.7 < M < 102) = Enter your answers as numbers accurate to 4 decimal places.

Name: a population of values has a normal distribution with 774 and 613 you intend to draw a random sample of size n18 find the probability that a single randomly selected value is between 427 and 09075
Uploaded: 2025-04-23T06:44:36-08:00
Duration: 8 s
Channel: Pritesh Ranjan
Description: a population of values has a normal distribution with 774 and 613 you intend to draw a random sample of size n18 find the probability that a single randomly selected value is between 427 and 09075

          A population of values has a normal distribution with μ=77.4 and σ=61.3. You intend to draw a random sample of size n=18.
Find the probability that a single randomly selected value is between 42.7 and 102.
P(42.7 < X < 102) = 
Find the probability that a sample of size n=18 is randomly selected with a mean between 42.7 and 102.
P(42.7 < M < 102) = 
Enter your answers as numbers accurate to 4 decimal places.

Added by Margaret C.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Pritesh Ranjan

04/23/2025

Step 1

- Population mean, μ = 77.4 - Population standard deviation, σ = 61.3 - Sample size, n = 18 - We want to find: 1. \( P(42.7 < X < 102) \) for a single value \( X \) 2. \( P(42.7 < M < 102) \) for the sample mean \( M \) of size 18 --- Part 1: Probability for Show more…

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A population of values has a normal distribution with μ=77.4 and σ=61.3. You intend to draw a random sample of size n=18. Find the probability that a single randomly selected value is between 42.7 and 102. P(42.7 < X < 102) = Find the probability that a sample of size n=18 is randomly selected with a mean between 42.7 and 102. P(42.7 < M < 102) = Enter your answers as numbers accurate to 4 decimal places.