The number of minutes for app engagement by a tablet user follows a normal distribution with = 8.2 minutes, and o = 1 minute. Suppose, we take a sample of 60 tablet users. W (a) What are the mean and standard deviation of the sampling distribution of the sample mean? (b) Find the 90th percentile for the sample mean time for app engagement for a tablet user. Interpret this value in a complete sentence. (c) Find the probabilities that the sample mean is between ±1 standard deviation, ±2 standard deviations, and ±3 standard deviations. (d) Is there a different way to do part (c) that involves not using R, and not using any form of calculations?
The number of minutes for app engagement by a tablet user follows a normal distribution with = 8.2 minutes, and o = 1 minute. Suppose, we take a sample of 60 tablet users. W (a) What are the mean and standard deviation of the sampling distribution of the sample mean? (b) Find the 90th percentile for the sample mean time for app engagement for a tablet user. Interpret this value in a complete sentence. (c) Find the probabilities that the sample mean is between ±1 standard deviation, ±2 standard deviations, and ±3 standard deviations. (d) Is there a different way to do part (c) that involves not using R, and not using any form of calculations?
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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![The number of minutes for app engagement by a tablet user follows a normal distribution
with = 8.2 minutes, and o 1 minute. Suppose, we take a sample of 60 tablet users.
=
(a) What are the mean and standard deviation of the sampling distribution of the sample
mean?
(b) Find the 90th percentile for the sample mean time for app engagement for a tablet
user. Interpret this value in a complete sentence.
(c) Find the probabilities that the sample mean is between ±1 standard deviation, ±2
standard deviations, and ±3 standard deviations.
(d) Is there a different way to do part (c) that involves not using R, and not using any
form of calculations?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa8d46346-fe9f-45aa-a3a0-df12b7cae379%2Fd0c3c08e-44a1-4636-96c7-69bc658c5104%2Fbenctr9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The number of minutes for app engagement by a tablet user follows a normal distribution
with = 8.2 minutes, and o 1 minute. Suppose, we take a sample of 60 tablet users.
=
(a) What are the mean and standard deviation of the sampling distribution of the sample
mean?
(b) Find the 90th percentile for the sample mean time for app engagement for a tablet
user. Interpret this value in a complete sentence.
(c) Find the probabilities that the sample mean is between ±1 standard deviation, ±2
standard deviations, and ±3 standard deviations.
(d) Is there a different way to do part (c) that involves not using R, and not using any
form of calculations?
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