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True or False Questions:

1. We cannot use Pearson correlation with variables measured at nominal or ordinal scale.

2. A score with a value less than or equal to the mean will have a z-score that is less than or equal to zero.

3. One reason for transforming X values into z-scores is that the set of z-scores will form a normal shaped distribution.

4. If an entire population with u=40 and o=7 is transformed into z-scores will have a mean of 0 and a standard deviation of 1.

5.The bull hypothesis is stated in terms of the population even though the data came from a sample.

6.It is impossible to have a correlation coefficient value of 2.33.

7.If the obtained sample mean is located in the critical region then your decision should be to "reject Ho".

8.A Type II error occurs when you conclude that a treatment effect exists but the treatment has no effect.



The following information was recorded about the sales of food items from Shoprite in Windhoek during the period 2019-2020. Items Number of items sold Price per item ($) 2019 2020 2019 2020 1kg flour 6.0 7.5 12.20 15.00 1 kg liver 7.5 7.0 40.50 55.00 1 kg jam 14.0 13.5 14.95 20.50 2 kg mealie meal 5.0 4.5 13.40 15.50 2 l cooking oil 3.0 3.0 26.00 34.00 3.1. Calculate the simple aggregate price index (unweighted composite index) for 2020 using 2019 as the base year and interpret your answer. [4] 3.2. Calculate the laspeyres price index for 2019 with 2018 as base year (2018=100) [6] 3.3. Calculate the Paasche price index for 2019 with 2018 as base year and interpret your answer


The following table is a frequency table of the scores obtained in a QTM quiz competition. Classes Frequency(f) 10 - 20 5 20 - 30 7 30 - 40 10 40 - 50 16 50 - 60 2 Total 40 Use the information in the table above and answer the following questions: 2.1 Find the mean [2] 2.2 Find the median [3] 2.3 Find modal score. [3] 2.4 Find the range of the scores. [1] 2.5 Find the variance of the scores. [4] 2.6 Find the standard deviation. [2] 2.7 Compute the coefficient of variation. [2] 2.8 Compute the interquartile range and the quartile deviation. 


box has 5 tickets numbered 1, 2, 3, 4 and 5. One 

of these tickets is drawn at random. 3 

i) If A = (1, 2) and B = {1), then show that P(B I A) 

> P(B) ii) If C = (1, 2, 3) and D = (1, 2, 4), then show that 

P(D I C) < P(D)


There are 100 ways to select 1 lollipop, 1 candy and 1 chocolate bar from a container with 5 lollipops, 6 candies and 4 chocolate bars. (True or False)


if the variance of the population is 9, what happens to the variance of the sampling distribution of the means of size 6 drawn from the population?


: A salesperson in the insurance department sells policies to six men, all of identical age. According to the actuarial tables the probability that a man of this particular age will be alive after a couple of decades is 2/3. Find the probability that no one will be alive after a couple of decades.


52 well-shuffled playing cards are distributed at random among 4 player's.Find the probability that a hand contain

(i) 3 aces

(ii) 2 kings and one queen

(iii) No cards of diamond

(iv) 5 pictured cards .


A random sample of size 144

144 is drawn from a population whose distribution, mean, and standard deviation are all unknown. The summary statistics are x

¯

=58.2

x¯=58.2 and s=2.6

s=2.6.


Consider the following ungrouped data:

41 46 7 46 32 5 14 28 48 49 8 49 48 25 41 8 22 46 40 48

Find the following:

a)  Arithmetic mean

b)  Geometric mean

c)  Harmonic mean

d)  Median

e)  Mode

f)  Range

g)  Mean deviation

h)  Variance

i)  Standard Deviation


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