Question

# The average undergraduate cost per tuition, fees, room, and board for all institutions last year was $26,025. A random sample of 40 institutions of higher learning this year indicated that the mean tuition, fees, room, and board for the sample was$27,690, and the population standard deviation is $5492. At the 0.05 level of significance, is there sufficient evidence that the cost has increased? $Remember to follow the steps in hypothesis testing$ 99 likes 495 views ## Answer to a math question The average undergraduate cost per tuition, fees, room, and board for all institutions last year was$26,025. A random sample of 40 institutions of higher learning this year indicated that the mean tuition, fees, room, and board for the sample was $27,690, and the population standard deviation is$5492. At the 0.05 level of significance, is there sufficient evidence that the cost has increased? $Remember to follow the steps in hypothesis testing$

Gerhard
4.5
The null hypothesis: \mu=26025 , Then the mean cost is the same as the alternative hypothesis: \mu\gg\:26025 , the mean cost has increased t=\frac{\left$barx-\mu\right$}{\left$\frac{\sigma}{\sqrt{n}}\right$}=\frac{\left$27690-26025\right$}{\left$\frac{5492}{\sqrt{40}}\right$}=1.917 df=40-1=39 using a t-score calculator p-value = 0.0313 Since the p-value < 0.05, we reject the null hypothesis. Therefore, the cost has increased.
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