Question

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.

−0.25 | −0.28 | −0.14 | −0.26 | +0.27 | −0.20 | +0.32 | +0.31 | −0.14 |

−0.32 | −0.65 | −0.45 | −0.50 | −0.69 | −0.04 | −0.16 | −0.53 | +0.08 |

- State the null hypothesis and the alternate hypothesis.

- State the decision rule for 0.01 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 0.01 significance level.

- Estimate the
*p*-value.

Answer #1

Below are the null and alternative Hypothesis,

Null Hypothesis, H0: μ = 0

Alternative Hypothesis, Ha: μ ≠ 0

Decision Rule

This is two tailed test, for α = 0.01 and df = 17

Critical value of t are -2.898 and 2.898.

Hence reject H0 if t < -2.898 or t > 2.898

Test statistic,

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

t = (-0.2 - 0)/(0.3063/sqrt(18))

t = -2.77

No, it is not reasonable to conclude that the mean gain or loss in time for the watches is 0

P-value Approach

P-value = 0.0131

As P-value >= 0.01, fail to reject null hypothesis.

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
−0.25
−0.28
−0.14
−0.26
+0.27
−0.20
+0.32
+0.31
−0.14
−0.32
−0.65
−0.45
−0.50
−0.69
−0.04
−0.16
−0.53
+0.08
State the null hypothesis and the alternate hypothesis.
State the decision rule for 0.01 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 during a week. A sample of
18 watches provided the following gains (+) or losses (-) in
seconds per week. Is it reasonable to conclude that the mean gain
or loss in time for the watches is 0?
0.10
0.30
0.40
-0.32
-0.20
-0.23
0.40
0.25
-0.10
-0.37
-0.61
-0.10
-0.20
-0.64
0.30
-0.20
-0.68
-0.30
(a) State the decision rule for 0.01 significance...

Skagen-Tvosky Clock Manufacturers, LLC claim that their wall
clocks on average will neither gain nor lose time throughout the
week. A sample of 18 wall clocks showed the following gains (+) or
losses (-) in seconds per week. Is it reasonable to conclude that
the mean gain or loss in time for the watches is 0?
0.10
0.10
0.40
-0.32
-0.30
-0.23
-0.20
0.25
-0.10
-0.37
-0.61
0.20
-0.30
-0.64
0.40
-0.20
-0.68
-0.40
A.)
State the decision rule for...

One of the large photocopiers used by a printing company has a
number of special functions unique to that particular model. This
photocopier generally performs well but, because of the complexity
of its design and the frequency of usage, it occasionally breaks
down. The department has kept records of the number of breakdowns
per month over the last fifty months. The data is summarized in the
table below:
Number of Breakdowns
Probability
0
0.12
1
0.32
2
0.24
3...

One of the large photocopiers used by a printing company has a
number of special functions unique to that particular model. This
photocopier generally performs well but, because of the complexity
of its design and the frequency of usage, it occasionally breaks
down. The department has kept records of the number of breakdowns
per month over the last fifty months. The data is summarized in the
table below:
Number of Breakdowns
Probability
0
0.12
1
0.32
2
0.24
3...

A cell phone company offers two plans to its subscribers. At the
time new subscribers sign up, they are asked to provide some
demographic information. The mean yearly income for a sample of 42
subscribers to Plan A is $55,500 with a standard deviation of
$8,500. This distribution is positively skewed; the coefficient of
skewness is not larger. For a sample of 40 subscribers to Plan B,
the mean income is $56,800 with a standard deviation of $8,700.
At the...

Code
GEL
ASX All Ordinary
change%
2016/12/30
22.09
5719.1
2017/1/2
22.09
5719.1
0.00%
2017/1/3
22.51
5784.6
1.15%
2017/1/4
22.32
5788.2
0.06%
2017/1/5
22.37
5805.1
0.29%
2017/1/6
22.21
5809
0.07%
2017/1/9
22.38
5857.7
0.84%
2017/1/10
22.16
5813
-0.76%
2017/1/11
22.14
5823.7
0.18%
2017/1/12
21.98
5821.6
-0.04%
2017/1/13
22.03
5776.8
-0.77%
2017/1/16
22.18
5803
0.45%
2017/1/17
22.17
5754.7
-0.83%
2017/1/18
22.24
5733.7
-0.36%
2017/1/19
22.55
5745.4
0.20%
2017/1/20
22.77
5709.7
-0.62%
2017/1/23
22.33
5668
-0.73%
2017/1/24
22.41
5706.3
0.68%
2017/1/25
22.24
5726...

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