In 2011, the number of text messages sent and received by teenage girls (ages 12–18) was strongly right skewed. The mean number of messages sent and received each day was 165 with a standard deviation of 45 messages. Suppose we assume teenage boys (ages 12 – 18) send and receive the same number of messages daily. Completely describe the sampling distribution of the sample mean number of text messages sent and received when samples of 293 teenage boys are selected.mean: μ y-bar = standard deviation: σ y-bar = (round your answer to 4 decimal places)shape: the distribution of y-bar is __________ (not normally distributed/normally distributed) because ______________ (the sample size is large/the sample size is not large/the population of the # of text messages sent is normally distributed/the population of the # of text messages sent is not normally distributed)

1. It is given that the mean and standard deviation are 165 and 45, respectively. By using central…

Answered: In 2011, the number of text messages…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In 2011, the number of text messages sent and received by teenage girls (ages 12–18) was strongly right skewed. The mean number of messages sent and received each day was 165 with a standard deviation of 45 messages. Suppose we assume teenage boys (ages 12 – 18) send and receive the same number of messages daily.

Completely describe the sampling distribution of the sample mean number of text messages sent and received when samples of 293 teenage boys are selected.

mean: μ y-bar =
standard deviation: σ y-bar = (round your answer to 4 decimal places)
shape: the distribution of y-bar is __________ (not normally distributed/normally distributed) because ______________ (the sample size is large/the sample size is not large/the population of the # of text messages sent is normally distributed/the population of the # of text messages sent is not normally distributed)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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