Question

A data set includes data from student evaluations of courses. The summary statistics are n equals=92,...

A data set includes data from student evaluations of courses. The summary statistics are n equals=92, x equals=4.09​, s equals=0.62. Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 4.25. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.

What are the null and alternative​ hypotheses?

Determine the test statistic.

​(Round to two decimal places as​ needed.)

Determine the​ P-value.

​(Round to three decimal places as​ needed.)

State the final conclusion that addresses the original claim.

? H0. There is ? evidence to conclude that the original claim that the mean of the population of student course evaluations is equal to 4.25 ? correct.

Homework Answers

Answer #1

The null and alternative hypothesis are

H0: = 4.25

Ha: 4.25

Test statistics

t = ​​​​​​ - / ( S / sqrt(n) )

= 4.09 - 4.25 / (0.62 / sqrt(92) )

= -2.48

From T table,

With test statistics -2.48 and df of 91,

p-value (Two tailed) = 0.015

Since p-value < 0.05 level, we have sufficient evidence to reject H0.

We conclude at 0.05 level that we have sufficient evidence to support the claim.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A data set includes data from student evaluations of courses. The summary statistics are n =...
A data set includes data from student evaluations of courses. The summary statistics are n = 84, x (x bar) = 4.16, s = 0.59. Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 4.25. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. Show your work. Correct Answers...
A data set includes data from student evaluations of courses. The summary statistics are n=86, x=4.19,...
A data set includes data from student evaluations of courses. The summary statistics are n=86, x=4.19, s=0.65 Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 4.25 Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim. Determine the test statistic. Determine the​ P-value. State the final conclusion that addresses...
A data set includes data from student evaluations of courses. The summary statistics are n=84​, xbar...
A data set includes data from student evaluations of courses. The summary statistics are n=84​, xbar =3.42 s=0.56 Use a 0.01 significance level to test the claim that the population of student course evaluations has a mean equal to 3.50. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative​ hypotheses? Determine the test statistic. Determine...
A data set includes data from student evaluations of courses. The summary statistics are n=86, x...
A data set includes data from student evaluations of courses. The summary statistics are n=86, x bar=3.33, s=0.62. Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 3.50. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, p-value, and state the final conclusion that addresses the original claim.
A data set includes data from student evaluations of courses. The summary statistics are nequals94​, x...
A data set includes data from student evaluations of courses. The summary statistics are nequals94​, x overbarequals4.17​, sequals0.63. Use a 0.01 significance level to test the claim that the population of student course evaluations has a mean equal to 4.25. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.
A data set includes data from student evaluations of courses. The summary statistics are nequals93​, x...
A data set includes data from student evaluations of courses. The summary statistics are nequals93​, x overbarequals4.15​, sequals0.59. Use a 0.01 significance level to test the claim that the population of student course evaluations has a mean equal to 4.25. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.
A data set includes data from student evaluations of courses. The summary statistics are nequals=8484​, x...
A data set includes data from student evaluations of courses. The summary statistics are nequals=8484​, x overbarxequals=3.693.69​, sequals=0.660.66. Use a 0.100.10 significance level to test the claim that the population of student course evaluations has a mean equal to 3.753.75. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim. b) Determine the test statistic. c)Determine the​ P-value. d) State the final...
A data set includes data from student evaluations of courses. The summary statistics are n=90​, x=3.32​,...
A data set includes data from student evaluations of courses. The summary statistics are n=90​, x=3.32​, s=0.68. Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 3.50. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative​ hypotheses? Determine the test statistic. State the...
A data set includes data from student evaluations of courses. The summary statistics are n=95​, x=3.86​,...
A data set includes data from student evaluations of courses. The summary statistics are n=95​, x=3.86​, s=0.67. Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 4.00. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative​ hypotheses?
A data set includes data from student evaluations of courses. The summary statistics are n=91, x...
A data set includes data from student evaluations of courses. The summary statistics are n=91, x =3.67, s=0.68 Use a 0.01 significance level to test the claim that the population of student course evaluations has a mean equal to 3.75 , Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.