In: Statistics and Probability

Using the data, find the sample skewness and excess kurtosis of Michelson data on the speed of light (light.txt). Is this data set nrmally distribuited, based on this normal probability plot? 850 740 900 1070 930 850 950 980 980 880 1000 980 930 650 760 810 1000 1000 960 960 960 940 960 940 880 800 850 880 900 840 830 790 810 88 880 830 800 790 760 800 880 880 880 860 720 720 620 800 970 950 800 910 850 870 840 840 850 840 840 840 890 810 810 820 800 770 740 760 750 760 910 920 890 860 880 720 840 850 850 780 890 840 780 810 760 810 790 810 820 850 870 870 810 740 810 940 950 800 810 870. a) Find the sample skewness of Michelson data of the speed of light. b)find the excess kurtosis of Michelson data of the speed of light.

We use Minitab to solve this question-

Welcome to Minitab, press F1 for help.

MTB > PPlot C1;

SUBC> Normal;

SUBC> Symbol;

SUBC> FitD;

SUBC> Grid 2;

SUBC> Grid 1;

SUBC> MGrid 1.

Probability Plot of C1

MTB > Describe C1;

SUBC> Mean;

SUBC> StDeviation;

SUBC> QOne;

SUBC> Median;

SUBC> QThree;

SUBC> Skewness;

SUBC> Kurtosis.

Descriptive Statistics: C1

Variable Mean StDev Q1
Median Q3 Skewness Kurtosis

C1 843.1 110.0
800.0 845.0 897.5
-3.21 21.68

From Above, Observe that,

**P-value < 0.05 therefore given data follows normal
distributation.
Sample skewness is -3.21
Kurtosis is 21.68**

Find the Z value form both Skewness and Kurtosis, respectively.
Then decide on normality based on 5% significance level
Kurtosis -0.58587 Skewness -0.13581, N=100

5. What is the skewness and kurtosis of each data set? 6.
Generate a histogram plot of each of the data sets. 7. Based on the
variability of the data, what do you think the next step would be
to analyze the data? Age Income 29 9315 25 6590 28 9668 27 8412 25
1654 24 2431 25 6977 19 8966 27 9327 18 3871 25 9934 19 2236 19
3035 29 2518 19 3616 19 9219 28 1090 18...

Define the term skewness and kurtosis. With the aid of a
diagram, describe the three types of kurtosis.
4marks
Describe the components of a time series and mention their
applicability. 4marks
The table below relates to the sales of refrigerators by a
certain firm in Kenya.
Year production in (000) Year
Production in (000)
1996 17 2002 35
1997 20 2003 55
1998 19 2004 50
1999 26 2005 74
2000 24 2006 69
2001 40
Using this data;...

The `R` package \texttt{moments} gives us two very useful
functions; \texttt{skewness} and \texttt{kurtosis}. If data is
truly normal, it should have a skewness value of 0 and a kurtosis
value of 3. Write an R function that conducts a normality test as
follows: it takes as input a data set, calculates a bootstrap
confidence interval for the skewness, calculates a bootstrap
confidence interval for the kurtosis, then sees if 0 is in the
skewness interval and 3 is in the...

Using the data from Data Set VII in Appendix B, find the mean, median, mode, range, variance, and standard deviation of the acreage owned by the municipalities. Comment on the skewness of the data, using the Pearson coefficient of skewness. Data from in Set VII Appendix B

A.)what happens when the skewness and kurtosis increase or decrease
when investing in real estate ( explain why)
B.) what decisions do real estsate investors make based on
skewness and kurtosis?
C.) What will cause the skewness/kurtosis to change when
relating it to real estate investments?
explain each in detail and write neat or type response please
, thanks!

How do I make a skewness and kurtosis graph in Excel? Can anyone
provide me a step?

Using both the skew and kurtosis statistics and histograms,
determine if there is a significant skew and/or kurtosis for the
variables that are appropriate for this analysis. Are they
negatively or positively skewed? Justify your answers.
Descriptive
Statistics
N
Minimum
Maximum
Mean
Std. Deviation
Skewness
Kurtosis
Statistic
Statistic
Statistic
Statistic
Statistic
Statistic
Std. Error
Statistic
Std. Error
Sex
101
1
4
1.55
.591
.822
.240
1.347
.476
Age
101
24
64
41.92
7.951
.081
.240
-.240
.476
YearsSick
101
2...

For the sample Data given create a frequency table using 6
classes.
Find all relative and cumulative frequencies
Data:94.7, 106.1, 117.5, 128.9, 135.5, 139.2, 142.3, 143.1,
144.5, 152.5, 156.4, 158.5, 159.6, 165.7, 166.5, 173.2, 175.5,
188.0, 199.0, 216.1
Use the frequencies found in the table above to sketch the
histogram for the distribution. Use the class boundaries for the
horizontal axis.

In 1882, Albert Michelson collected measurements on the speed of
light ("Student t-distribution," 2013). His measurements are given
in table #8.3.7. Find the speed of light value that Michelson
estimated from his data using a 95% confidence interval.
299883
299816
299778
299796
299682
299711
299611
299599
300051
299781
299578
299796
299774
299820
299772
299696
299573
299748
299748
299797
299851
299809
299723

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