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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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.
Transcribed Image Text: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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