It takes four years for an undergraduate student to graduate with a bachelor's degree. A study reports that only 41% of full-time students graduate from universities in four years. The sample of 8 years has a mean of 37.2 and a standard deviation of 4.9. Is there sufficient evidence to support the report's claim?

Question

Mathematics

Joslyn Zhang

29 January, 12:08

It takes four years for an undergraduate student to graduate with a bachelor's degree. A study reports that only 41% of full-time students graduate from universities in four years. The sample of 8 years has a mean of 37.2 and a standard deviation of 4.9. Is there sufficient evidence to support the report's claim?

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Answers (1)

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Nathalie Bush · Answer 1

Yes

Step-by-step explanation:

One sample t test can be used to find if the claim is true or not.

Degrees of freedom = 8

t-statistic can be calculated from : (sample mean-population mean) / (standard deviation/√sample size)

Once the t-statistic is known, it can be compared with p-value obtained from t-table and conclusion made