Answered: Many people believe that the average…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

For each of the following Hypothesis Tests perform each of the following steps.

State the hypotheses and identify the claim.
Compute the test statistic
Find the P-value.
Make the decision.
Write the conclusion.

Assume all populations are normally distributed. Test all claims at 0.05.

1. Many people believe that the average number of Facebook friends for high school students is 130. The population standard deviation is 38.2. A random sample of 50 high school students revealed that the average number of Facebook friends was 162. Is there sufficient evidence to conclude that the mean number of friends is greater than 130?

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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