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 0.05 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?

72 |
81 |
39 |
68 |
40 |
25 |
58 |
64 |
63 |
50 |
63 |
73 |
94 |
88 |
68 |

This is the appropriate sample data

What are the null and alternative hypotheses?

A.

H0: μ=60 seconds

H1: μ> 60 seconds

B.

H0: μ≠ 60 seconds

H1: μ= 60 seconds

C.

H0: μ= 60 seconds

H1: μ< 60 seconds

D.

H0: μ= 60 seconds

H1: μ≠ 60 seconds

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.

(Reject/Fail to Reject) H0. There is (sufficient/not sufficient) evidence to conclude that the original claim that the mean of the population of estimates is 60 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

Below are the null and alternative Hypothesis,

Null Hypothesis, H0: μ = 60

Alternative Hypothesis, Ha: μ ≠ 60

Test statistic,

t = (xbar - mu)/(s/sqrt(n))

t = (63.0667 - 60)/(18.6795/sqrt(15))

t = 0.64

P-value Approach

P-value = 0.532

As P-value >= 0.05, fail to reject null hypothesis.

Fail to Reject) H0. There is (not sufficient) evidence to conclude
that the original claim that the mean of the population of
estimates is 60 seconds (is not correct). It (does not appear)
that, as a group, the students are reasonably good at estimating
one minute

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
0.050.05
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?
6767
8383
4141
6666
3939
2626
6161
6161
6767
5050
6666
7373
9191
8787
6464
What are the null and alternative...

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
0.01 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?
71
83
36
62
45
27
60
63
65
47
63
67
95
90
67
Determine the P-value (show steps on...

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 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?
69
80
37
63
44
25
58
65
64
45
66
67
92
86
66

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 0.10 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?
75
93
47
77
54
31
72
72
76
58
71
77
105
101
71
Identify the test statistic.
t =...

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 0.10 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?
81
91
49
74
48
34
68
70
77
54
71
82
104
99
76
home / study / math /...

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
0.100 significance level to test the claim that these times are
from a population with a mean equal to 60 seconds. Determine the
test statistic
69
82
39
62
41
22
58
64
68
47
62
67
92
88
68

show your work please
Students estimated the length of one minute without reference to
a watch or clock, and the times (seconds) are listed below. Test
the claim that these times are from a population with a mean equal
to 60 seconds
63
84
42
62
49
62
58
55
69
49
Final answers
Hypopthesis
Test Statistic
p-value
Decision
Conclusion

67
84
40
62
44
24
60
60
68
45
62
68
94
86
66
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 0.01 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?

8.
Use the pulse rates in beats per minute (bpm) of a random
sample of adult females listed in the data set available below to
test the claim that the mean is less than76
bpm. Use a 0.10 significance level.
Pulse Rate (bpm)
85
58
65
87
85
98
97
101
74
64
40
99
67
68
100
64
100
68
44
60
61
36
56
96
89
68
40
82
51
44
35
77
72
71
101
79
89...

A data set lists earthquake depths. The summary statistics
aren=600, overbarx=4.67 km, s=4.65 km. Use a 0.01 significance
level to test the claim of a seismologist that these earthquakes
are from a population with 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.
H0: μ= 4.00km
H1: μ>...

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