Question

A group of students estimated the length of one minute without reference to a watch or​ clock, and the times​ (seconds) are listed below. Use a

0.010.01

significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one​ minute?

7676

9292

4747

7171

4848

3636

6666

7272

7373

5656

7272

8282

104104

100100

7272

What are the null and alternative​ hypotheses?

A.

Upper H 0H0​:

muμequals=6060

seconds

Upper H 1H1​:

muμless than<6060

seconds

B.

Upper H 0H0​:

muμequals=6060

seconds

Upper H 1H1​:

muμnot equals≠6060

seconds

C.

Upper H 0H0​:

muμequals=6060

seconds

Upper H 1H1​:

muμgreater than>6060

seconds

D.

Upper H 0H0​:

muμnot equals≠6060

seconds

Upper H 1H1​:

muμequals=6060

seconds

Determine the test statistic.

nothing

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

Determine the​ P-value.

nothing

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

State the final conclusion that addresses the original claim.

▼

Reject

Fail to reject

Upper H 0H0.

There is

▼

not sufficient

sufficient

evidence to conclude that the original claim that the mean of the population of estimates is

6060

seconds

▼

is

is not

correct. It

▼

appears

does not appear

​that, as a​ group, the students are reasonably good at estimating one minute.

Answer 1

using excel>Addin>phstat>one sample test

we have

t Test for Hypothesis of the Mean
Data
Null Hypothesis                m=	60
Level of Significance	0.01
Sample Size	13
Sample Mean	68.84615385
Sample Standard Deviation	18.71205562
Intermediate Calculations
Standard Error of the Mean	5.189790463
Degrees of Freedom	12
t Test Statistic	1.704530059
Two-Tail Test
Lower Critical Value	-3.054539589
Upper Critical Value	3.054539589
p-Value	0.114012086
Do not reject the null hypothesis

the null and alternative​ hypotheses is

B. H0​:μ=60seconds

H1​:μ≠60seconds

the test statistic is 1.71

p value is 0.114

State the final conclusion that addresses the original claim.

Fail to reject H0.

There is sufficient evidence to conclude that the original claim that the mean of the population of estimates is 60 seconds is correct. It appears ​that, as a​ group, the students are reasonably good at estimating one minute.