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)

Name: Solved: 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) - MathMaster
Brand: MathMaster
Rating: 4.9 (99 reviews)

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)

$Expert avatar$

Gerhard

4.5

94 Answers

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.

Frequently asked questions (FAQs)

Math Question: What is the value of f(x) for a constant function f(x) = c, if c is equal to 5?

What is the vertex of the parabola y = 2x^2 + 3x - 1?

What is the smallest positive integer solution to the equation x^n + y^n = z^n, given that n>2?

New questions in Mathematics

A client did not advance L 10,000 for the rental of a parking area and it corresponds to 4 months, of which 2 months were consumed

The Lenovo company manufactures laptop computers, it is known that for every 60 laptops produced, 54 go on the market with the highest quality standards. If a sample of 15 laptops is taken, calculate the probability that: Exactly 2 are not of high quality

Using the integration by parts method, calculate the integral of [x².ln(1/x)]dx: x 4 /4 x³/6 x 4 /8 x³/3 x 4 /6

4x567

In a store, a person carries 14 kilos of rice and 28 kilos of flour. In what ratio are the kilos found? (Remember to simplify until you reach an irreducible fraction)

Suppose you have a sample of 100 values from a population with mean mu = 500 and standard deviation sigma = 80. Given that P(z < −1.25) = 0.10565 and P(z < 1.25) = 0.89435, the probability that the sample mean is in the interval (490, 510) is: A)78.87% B)89.44% C)10.57% D)68.27%

19) If the temperature of -8°C decreases by 12°C, how much will it be? a)-20°C -4°C c) 4°C d) 20°C