Calculate the mean, median, sample variance, Applied Statistics

Assignment Help:

Question:

The weights of 60 children born to mothers in a small rural hospital were recorded.

3.63

3.54

3.15

3.90

4.29

4.06

2.91

3.36

3.38

2.22

3.79

3.57

3.44

2.58

4.23

4.76

3.09

3.65

3.23

3.97

3.46

2.70

3.12

3.82

3.75

3.54

3.34

3.00

4.44

1.91

2.82

3.52

3.27

3.04

4.36

3.70

3.74

3.19

2.36

4.26

3.36

3.42

4.14

4.02

3.89

3.60

3.46

4.50

4.09

3.50

4.17

3.52

3.93

3.41

3.49

2.64

5.02

2.52

3.85

3.54

a) Calculate the mean, median, sample variance, and standard deviation of these results.

b) Calculate the 95% confidence intervals for this data set. Explain what these results are telling us in your own words. (Analyze - one sample t-test 95%)

c) What does a standard deviation tell you?

d) Suppose it is believed that the average weight for these children is 3 kg. At the 5% level of significance test whether the true weight for this group is 3 kg against the alternative hypothesis that the average weight is greater than 3 kg. You may assume that the data are normally distributed.

e) Draw a P-P plot for this data set. Would you consider this data to be normally distributed? Please justify your answer. (descriptive P-P plot)


Related Discussions:- Calculate the mean, median, sample variance

Diversity of data , The box plot displays the diversity of data for the tot...

The box plot displays the diversity of data for the totexp; the data ranges from 30 being the minimum value and 390 being the maximum value. The box plot is positively skewed at 1.

Confidence interval, for this proportion, use the +-2 rule of thumb to dete...

for this proportion, use the +-2 rule of thumb to determine the 95 percent confidence interval. when asked if they are satisfied with their financial situation, .29 said "very sat

Large sample test for mean, Large Sample Test for Mean A random sample ...

Large Sample Test for Mean A random sample of size n (n > 30) has a sample mean    . To test the hypothesis that the population mean μ has a specified value  μ 0  let us formu

Type i and ii errors, TYPE I AND II Errors If a statistical hypothesis ...

TYPE I AND II Errors If a statistical hypothesis is tested, we may get the following four possible cases: The null hypothesis is true and it is accepted; The

Probability theory, Origin and Development of probability Theory: The c...

Origin and Development of probability Theory: The credit for origin and development of probability goes to the European gamblers of 17 th century. They  used to gamble  on gam

Statistical keys, Statistical Keys To do statistical o...

Statistical Keys To do statistical operations we must first set the calculator on SD mode [SD stands for "standard deviation" which is the usual st

X-bar charts when the mean and standard deviation not known , Charts when t...

Charts when the Mean and the Standard Deviation are not known We consider the data corresponding to the example of Piston India Limited. Since we do not know population mean a

Simulation, Simulation When decisions are to be taken under conditions ...

Simulation When decisions are to be taken under conditions of uncertainty, simulation can be used. Simulation as a quantitative method requires the setting up of a mathematical

Data reduction, The PCA is amongst the oldest of the multivariate statistic...

The PCA is amongst the oldest of the multivariate statistical methods of data reduction. It is a technique for simplifying a dataset, by reducing multidimensional datasets to lower

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd