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SDA 101 Students  Chi-Square Test of Independence c
SPSS output for Regression  Tests of Significance   Normal distribution  
 SPSS Instructions  Exam questions More Questions

 

Question One

A SRS of a certain substance was obtained and each specimen in the sample was weighed. The weights (in mg) are given in the stem plot below

    Stem-and-Leaf Plot of weights

     Stem &  Leaf

             0     11123333

             0    678

             1     12

             1    799

             2     4

             2     56

             3

             3

             4

             4

             5      3

 Stem width:   100.00

 

WEIGHT

Kolmogorov-Smirnov 

Shapiro-Wilk

  

Statistic

df

Sig

Statistic

df

Sig

  

.193

20

.049

.803

20

.001

Complete the blanks below using words/numbers/symbols chosen from the following list:   

Note you will not use all of the words and each cell is considered as one dash in the paragraph
For example    is not   would fit in the space             

Cube

Cube root

df

higher

is not

is

left

larger

lower

negative

p-value

positive

random

right

rough

sample

size

simple

significance

smaller

space

square

square root

statistic

Statistics

would

would not

m

s

s

0.001

0.05

0.5

0.803

12.2

12.931

13.2

13.931

20

123

130.31

x

 

 

 

 

 

 

The stem plot above shows that the data from the S___________ R__________ S____________ is skewed to the _____________. The mean would therefore be ___________ than the median. One possible transformation to eliminate the skewness is the log transformation, another possible transformation is ______________.

            The table on the previous page shows that the data _____________ normally distributed. This can be seen because the __________ value is equal to ___________ and this is less than ___________

The mean of the data set is 122 and the sample standard deviation is 129.31. The symbol for the sample mean is ____ and for the sample standard deviation is ____.

If a linear transformation was applied to the data it _____________ change the shape of the stem plot. If the transformation involved dividing each observation by 10 and then adding 1, the mean and standard deviation of the transformed data would be ________ and _________.

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