Question
In: Statistics and Probability
The Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose...
The Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose time during a week. A sample of 18 watches provided the following gains (+) or losses (-) in seconds per week.
| -0.14 | -0.64 | -0.86 | -0.85 | 0.16 | -0.34 | 0.23 | 0.35 | -0.33 |
| -0.17 | -0.89 | -0.73 | -0.36 | -0.13 | -0.27 | -0.72 | -0.20 | 0.36 |
H0: μ = 0
H1: μ ≠ 0
Is it reasonable to conclude that the mean gain or loss in time for the watches is 0? Use the 0.05 significance level.
a. At a level of 0.05 significance, we reject H0: μ = 0. (Negative answer should be indicated by a minus sign. Round the final answers to 3 decimal places.)
If t < or t > , reject H0.
b. What is the value of the test statistic? (Round the final answer to 3 decimal places.)
Value of the test statistic =
c. What is your decision regarding H0?
(Click to select) Reject Do not reject H0: μ = 0.
d. What is the p-value?
The p-value is (Click to select) 0.001 and 0.01 0.010 and 0.02 .
Solutions
orchestra answered 2 years agoRelated Solutions
The Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose...
The Watch Corporation of Switzerland claims that its watches on
average will neither gain nor lose time during a week. A sample of
18 watches provided the following gains (+) or losses (-) in
seconds per week.
-0.41
-0.70
-0.30
-0.11
0.34
-0.62
0.46
0.73
-0.30
-0.55
-0.56
-0.72
-0.14
-0.21
-0.23
-0.76
-0.67
0.22
H0: μ = 0
H1: μ ≠ 0
Is it reasonable to conclude that the mean gain or loss in time
for the watches is...
The Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose...
The Watch Corporation of Switzerland claims that its watches on
average will neither gain nor lose time during a week. A sample of
18 watches provided the following gains (+) or losses (-) in
seconds per week.
-0.27
-0.40
-0.16
-0.78
0.58
-0.45
0.58
0.40
-0.64
-0.82
-0.40
-0.73
-0.54
-0.17
-0.69
-0.28
-0.58
0.36
H0: μ = 0
H1: μ ≠ 0
Is it reasonable to conclude that the mean gain or loss in time
for the watches is...
Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose time...
Watch Corporation of Switzerland claims that its watches on
average will neither gain nor lose time during a week. A sample of
18 watches provided the following gains (+) or losses (−) in
seconds per week.
−0.30
−0.27
−0.34
−0.25
+0.31
−0.20
+0.36
+0.24
−0.19
−0.40
−0.49
−0.55
−0.55
−0.67
−0.03
−0.23
−0.54
+0.08
State the null hypothesis and the alternate hypothesis.
State the decision rule for 0.02 significance level.
(Negative amounts should be indicated by a minus sign.
Round...
Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose time...
Watch Corporation of Switzerland claims that its watches on
average will neither gain nor lose time during a week. A sample of
18 watches provided the following gains (+) or losses (−) in
seconds per week.
Click here for the Excel Data File
−0.43
−0.22
−0.42
−0.37
+0.27
−0.23
+0.32
+0.54
−0.19
−0.29
−0.34
−0.55
−0.44
−0.56
−0.05
−0.19
−0.24
+0.08
State the null hypothesis and the alternate hypothesis.
State the decision rule for 0.01 significance level.
(Negative amounts should...
Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose time...
Watch Corporation of Switzerland claims that its watches on
average will neither gain nor lose time during a week. A sample of
18 watches provided the following gains (+) or losses (−) in
seconds per week. Picture Click here for the Excel Data File −0.16
−0.15 −0.20 −0.17 +0.26 −0.19 +0.30 +0.43 −0.10 −0.31 −0.48 −0.44
−0.51 −0.67 −0.05 −0.24 −0.51 +0.05
A. State the null hypothesis and the alternate hypothesis.
H0= (mean symbol) =
H1= (mean symbol) =
B....
Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose time...
Watch Corporation of Switzerland claims that its watches on
average will neither gain nor lose time during a week. A sample of
18 watches provided the following gains (+) or losses (–) in
seconds per week. Picture Click here for the Excel Data File –0.42
–0.17 –0.11 –0.28 +0.33 –0.25 +0.34 +0.25 –0.08 –0.32 –0.54 –0.44
–0.45 –0.64 –0.04 –0.26 –0.44 +0.09 a-1. Is it reasonable to
conclude that the mean gain or loss in time for the watches is...
Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose time...
Watch Corporation of Switzerland claims that its watches on
average will neither gain nor lose time during a week. A sample of
18 watches provided the following gains (+) or losses (−) in
seconds per week. Picture Click here for the Excel Data File −0.16
−0.15 −0.20 −0.17 +0.26 −0.19 +0.30 +0.43 −0.10 −0.31 −0.48 −0.44
−0.51 −0.67 −0.05 −0.24 −0.51 +0.05
State the null hypothesis and the alternate hypothesis.
State the decision rule for 0.05 significance level. (Negative
amounts...
Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose time...
Watch Corporation of Switzerland claims that its watches on
average will neither gain nor lose time during a week. A sample of
18 watches provided the following gains (+) or losses (−) in
seconds per week.
−0.16
−0.15
−0.20
−0.17
+0.26
−0.19
+0.30
+0.43
−0.10
−0.31
−0.48
−0.44
−0.51
−0.67
−0.05
−0.24
−0.51
+0.05
State the null hypothesis and the alternate hypothesis
State the decision rule for 0.05 significance level.
(Negative amounts should be indicated by a minus sign.
Round...
Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose time...
Watch Corporation of Switzerland claims that its watches on
average will neither gain nor lose time during a week. A sample of
18 watches provided the following gains (+) or losses (−) in
seconds per week.
Click here for the Excel Data File
−0.16
−0.15
−0.20
−0.17
+0.26
−0.19
+0.30
+0.43
−0.10
−0.31
−0.48
−0.44
−0.51
−0.67
−0.05
−0.24
−0.51
+0.05
State the null hypothesis and the alternate hypothesis
State the decision rule for 0.05 significance level. (Negative
amounts should...
Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose time...
Watch Corporation of Switzerland claims that its watches on
average will neither gain nor lose time during a week. A sample of
18 watches provided the following gains (+) or losses (−) in
seconds per week:
−0.45
−0.19 −0.16 −0.20 +0.28 −0.24 +0.46 +0.26 −0.14 −0.37 −0.32 −0.50
−0.51 −0.62 −0.04 −0.19 −0.56 +0.04
State the null hypothesis and the alternate
hypothesis.
H0: ?=
H1: ?=
State the decision rule for 0.05 significance level.
(Negative amounts should be indicated by...
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