Download 1_3.2_Rev_Test_10Q

Revision Test 1A
AS3.2
Name:________________________________
Revision Test 1B
AS3.2 Name:________________________________
A single die has a E(x) = 3.5 and standard deviation of 1.7078
Eight dice are rolled and their values averaged.
1) Find the mean of the sample average.
A single die has a E(x) = 3.5 and standard deviation of 1.7078
Seven dice are rolled and their values averaged.
1) Find the mean of the sample average.
2) Find the standard deviation of the sample average.
2) Find the standard deviation of the sample average.
3) Find the probability that the sample average is over 4
3) Find the probability that the sample average is over 2
A population of lambs have mean weight of 34kg (standard deviation of 4.5kg)
Ten lambs are selected to go to the freezing works.
4) What is the mean of the total weight?
A population of sheep have mean weight of 48kg (standard deviation of 6.4kg)
eight sheep are selected to be killed for dog tucker.
4) What is the mean of the total weight?
5) Find the standard deviation of the total weight
5) Find the standard deviation of the total weight
6) Find the probability that the sample total is over 300kg
6) Find the probability that the sample total is over 350kg
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Revision Test 2A
AS3.2
Name:________________________________
Revision Test 2B
AS3.2
Name:________________________________
The mean weight of a sheep on farmer Bob’s farm is 34.5kg (variance of 4.6kg)
Farmer Bob loads 16 sheep onto the back of the hilux (which weighs 1250kg)
1) Find the mean total weight of the load of sheep (not the hilux).
The mean weight of a ducks on farmer Bobs farm is 2.5kg (variance of 0.6kg)
Farmer Bob loads 4 ducks onto a box (with weight of 0.8kg)
1) Find the mean total weight of the ducks only.
2) Find the variance total weight of load of sheep (not the hilux).
2) Find the variance total weight of the ducks only.
3) Find the probability that the load of sheep load of sheep (not the hilux) will be
at least 540kg
3) Find the probability that the total weight of the ducks only will be at least
8kg
4) Farmer gets premium price when the full box of ducks weighs at least 11kg
Find the probability of getting premium price (including the box)
4) Find the probability that the fully loaded hilux will be able to drive over a
bridge with maximum carrying capacity of 1820kg
5) Farmer Bob takes three boxes of ducks to the market. What is the
probability all 3 will get premium price?
5) If Farmer Bob makes three trips in a day what is the probability that he crosses
the bridge safely?
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Revision Test 3A
AS3.2
Name:________________________________
Revision Test 3B
AS3.2
Name:________________________________
A sample of 16 goats from Farmer Bob’s farm have a mean sample weight of
43kg. The population of goats has a standard deviation of 4.5kg
A sample of 25 goats from Farmer Bob’s farm have a mean sample weight of
35kg. The population of goats has a standard deviation of 3.8kg
1) Construct a 95% confidence interval for the population mean goat weight.
1) Construct a 99% confidence interval for the population mean goat weight.
2) Describe what this means?
2) Describe what this means?
3) What is the standard error of the confidence interval?
3) What is the standard error of the confidence interval?
4) What is the margin of error of the confidence interval?
4) What is the margin of error of the confidence interval?
5) Construct a 99% confidence interval for the population mean goat weight.
5) Construct a 95% confidence interval for the population mean goat weight.
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Revision Test 4A
AS3.2
Name:________________________________
Revision Test 4B
AS3.2
Name:________________________________
1) A population has a standard deviation of 5g. The population mean is to be
estimated within 0.4g with a 95% level of confidence.
What is the sample size needed?
1) A population has a standard deviation of 10m. The population mean is to be
estimated within 0.6m with a 99% level of confidence.
What is the sample size needed?
2) Construct the 99% confidence interval for the difference between the means:
mean
SD
Sample size
Sample
mean
Popn 1
μ1
4
9
24
Popn 2
μ2
3
25
20
2) Construct the 95% confidence interval for the difference between the means:
mean
SD
Sample size
Sample
mean
Popn 1
μ1
5
16
33
Popn 2
μ2
2
36
37
3) What does this tell us?
3) What does this tell us?
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Revision Test 5A
AS3.2
Name:________________________________
A sample of 400 voters found that 320 intended to vote for the Star Trek political
party.
Revision Test 5B
AS3.2
Name:________________________________
A sample of 300 voters found that 110 intended to vote for the Jedi political party.
1) Construct a 90% confidence interval for the proportion of Jedi Voters
1) Construct a 90% confidence interval for the proportion of Star Trek Voters
2) What is the margin of error in the survey?
2) What is the margin of error in the survey?
3) The number of voters for the Star Trek party need to be estimated within 4%.
The degree of confidence is 95%
How many need to be in the sample?
3) The number of voters for the Jedi party need to be estimated within 5%. The
degree of confidence is 90%
How many need to be in the sample?
Mark
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