Question

A data set includes data from student evaluations of courses. The summary statistics are n=83​, x=3.43​,...

A data set includes data from student evaluations of courses. The summary statistics are

n=83​,

x=3.43​,

s=0.55.

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.

Determine the test statistic.

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

Determine the​ P-value.

Homework Answers

Answer #1

Answer:
here null hypothesis i.e. Ho :the population of student course evaluations has a mean equal to 3.50. and

alternative hypotheisi is H1:the population of student course evaluations has a mean not equal to 3.50.

Here, n=83​, x(statistic)=3.43​, s=0.55 , alpha=0.01 and parameter is 3.5

test statistics is t=( statistic- parameter) / standard error

standard error = s/√​n​​​ =0.55/ square root (83)

=0.06037

now t= (3.43-3.5)/0.06037

t= -1.16

p value is t value at (0.01,(83-1))= 2.637

here |t| calulated value is 1.16 which is less than tabulated t value 2.637

Hence the null hypothesis is fail to reject. The population of student course evaluations has a mean equal to 3.50.

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