Question
In: Statistics and Probability
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 your answers to 3 decimal places.)
Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)
Is it reasonable to conclude that the mean gain or loss in time for the watches is 0? Use the 0.02 significance level.
Estimate the p-value.
Solutions
Expert Solution
State the null hypothesis and the alternate hypothesis :
| null hypothesis: | μ | = | 0 | |
| Alternate Hypothesis: | μ | ≠ | 0 | |
decision rule for 0.02 significance level : reject Ho if t >2.567 or t<-2.567
value of the test statistic =-3.080
p value =0.007
reject Ho
orchestra answered 2 years agoRelated Solutions
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...
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.
Data File
−0.29
−0.17
−0.41
−0.37
0.34
−0.23
0.3
0.23
−0.12
−0.33
−0.49
−0.50
−0.51
−0.64
−0.07
−0.23
−0.77
0.05
a)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...
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.
Excel Data File
watches
-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
–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
a-1.
Is it reasonable...
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.
−0.43
−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
Compute the value of the test statistic. (Negative
amount should be indicated by a minus sign. Round your answer to 3
decimal places.)
Is it reasonable...
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