1. An article in the San Jose Mercury News stated that students in the California state university system take 4.5 years, on average, to finish their undergraduate degrees. Suppose you believe tha the mean time is different. You conduct a survey of 49 students and obtain a sample mean of 4.9 years. The standard deviation among all CSU students finish their undergraduate degrees had been consistent at about 1.3 years. a. Suppose the population mean of 4.5 years is true, find the probability that an individual CSU student finish his/her degree between 3 and 5 years. b. Suppose the population mean of 4.5 years is true, find the probability that a sample of 49 CSU student finish their degree in more than 4.9 years on average. c. Perform one sample hypothesis testing on the claim that the average graduation time is different from 4.5 years. | Make sure you clearly state your null and alternative hypothesis. • Specify the p-value and make a rough sketch of the p-value plot (or a screenshot) Clearly state your conclusion.

1. An article in the San Jose Mercury News stated that students in the California state university system take 4.5 years, on average, to finish their undergraduate degrees. Suppose you believe tha the mean time is different. You conduct a survey of 49 students and obtain a sample mean of 4.9 years. The standard deviation among all CSU students finish their undergraduate degrees had been consistent at about 1.3 years. a. Suppose the population mean of 4.5 years is true, find the probability that an individual CSU student finish his/her degree between 3 and 5 years. b. Suppose the population mean of 4.5 years is true, find the probability that a sample of 49 CSU student finish their degree in more than 4.9 years on average. c. Perform one sample hypothesis testing on the claim that the average graduation time is different from 4.5 years. | Make sure you clearly state your null and alternative hypothesis. • Specify the p-value and make a rough sketch of the p-value plot (or a screenshot) Clearly state your conclusion.

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Description: 1. An article in the San Jose Mercury News stated that students in the California state universitysystem take 4.5 years, on average, to finish their undergraduate degrees. Suppose you believe thatthe mean time is different. You conduct a survey of 4

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

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Question

1. An article in the San Jose Mercury News stated that students in the California state university
system take 4.5 years, on average, to finish their undergraduate degrees. Suppose you believe that
the mean time is different. You conduct a survey of 49 students and obtain a sample mean of 4.9
years. The standard deviation among all CSU students finish their undergraduate degrees had
been consistent at about 1.3
years.
a. Suppose the population mean of 4.5 years is true, find the probability that an individual CSU
student finish his/her degree between 3 and 5 years.
b. Suppose the population mean of 4.5 years is true, find the probability that a sample of 49 CSU
student finish their degree in more than 4.9 years on average.
Perform one sample hypothesis testing on the claim that the average graduation time is different
from 4.5 years. |
с.
Make sure you clearly state your null and alternative hypothesis.
Specify the p-value and make a rough sketch of the p-value plot (or a screenshot)
Clearly state your conclusion.

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