1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
bogdanovich [222]
3 years ago
8

The average undergraduate cost for tuition, fees, and room and board for two-year institutions last year was $13,252. The follow

ing year, a random sample of 20 two-year institutions had a mean of $15,560 and a standard deviation of $3500. Is there sufficient evidence at the ?= 0.05 level to conclude that the mean cost has increased. Solve the question by traditional approach.
Mathematics
1 answer:
kipiarov [429]3 years ago
7 0

Answer:

The p-value of the test is 0.0041 < 0.05, which means that there is sufficient evidence at the 0.05 significance level to conclude that the mean cost has increased.

Step-by-step explanation:

The average undergraduate cost for tuition, fees, and room and board for two-year institutions last year was $13,252. Test if the mean cost has increased.

At the null hypothesis, we test if the mean cost is still the same, that is:

H_0: \mu = 13252

At the alternative hypothesis, we test if the mean cost has increased, that is:

H_1: \mu > 13252

The test statistic is:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

13252 is tested at the null hypothesis:

This means that \mu = 13252

The following year, a random sample of 20 two-year institutions had a mean of $15,560 and a standard deviation of $3500.

This means that n = 20, X = 15560, s = 3500

Value of the test statistic:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{15560 - 13252}{\frac{3500}{\sqrt{20}}}

t = 2.95

P-value of the test and decision:

The p-value of the test is found using a t-score calculator, with a right-tailed test, with 20-1 = 19 degrees of freedom and t = 2.95. Thus, the p-value of the test is 0.0041.

The p-value of the test is 0.0041 < 0.05, which means that there is sufficient evidence at the 0.05 significance level to conclude that the mean cost has increased.

You might be interested in
How to do this question plz answer me step by step plzz plz please​
Alina [70]

Answer:

See the attached

Step-by-step explanation:

The solution and filled in Venn diagram is attached

4 0
3 years ago
Write each fraction as a percent.<br><br> 1. 3/10<br><br> 2. 7/20<br><br> 3. 8/25
allsm [11]
3/10=30/100=30%
7/20=35/100=35%
8/25=32/100=32%
4 0
3 years ago
Read 2 more answers
Whats the answer to 4x+8y=40 when y =0.8
Alexxandr [17]
9.6 Hope that help have a good day

3 0
2 years ago
Read 2 more answers
taylor has an online bank account that charges a fees of 2.3% on each deposit. what is the fee for a deposit of $62.50 each. rou
worty [1.4K]
You need to divide by the number 2.3 and 62.50 and then round to the nearest cent


4 0
3 years ago
Simplify: x-1/5(x-1)squared
gayaneshka [121]

Answer:

\frac{1}{5x-5}

Step-by-step explanation:

=> \frac{x-1}{5(x-1)^2}

=> \frac{x-1}{5(x-1)(x-1)}

<u><em>Cancelling (x-1)</em></u>

=> \frac{1}{5(x-1)}

=> \frac{1}{5x-5}

5 0
2 years ago
Read 2 more answers
Other questions:
  • ℜ 0, -180 is the same rotation as _______.
    14·2 answers
  • -5[4-(-3)(2)] how to solve this
    6·2 answers
  • The domain of the function given below is the set of all real numbers true or false; f(x)=(1/2)^x
    13·2 answers
  • If the graph of an equation has a slope of 3 and passes through the point (1, -1). What is the equation?
    8·1 answer
  • • Clare mixes 2 cups of water with
    13·2 answers
  • What is the equation of a line with a slope of ​ ​ −4−4 ​ ​ and a point ​ (−2,5)(−2,5) ​ on the line? Express the equation in th
    14·2 answers
  • Marlon and Clint went to the movies.if they each bought cookies for 9.25 and a soda for. 6.55 what was their total bill after ad
    13·2 answers
  • Evaluate each value expression for the given value of x: 3x-13, x=6
    5·1 answer
  • 30pts! im currently in the middle of taking the test :(
    8·2 answers
  • How do you add integers with different signs?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!