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Statistics and Probability
Experience has shown that 20% of a manufactured product is of top quality. In one day’s
production of 400 articles, only 50 are of top quality. Write down the R programming code to
test whether the production of the day chosen is a representative sample at 95% confidence level.
production of 400 articles, only 50 are of top quality. Write down the R programming code to
test whether the production of the day chosen is a representative sample at 95% confidence level.
Statistics and Probability
Consider tossing 4 coins, which are properly balanced so that the probability of a head at each toss is p= 1/2. Let r be the number of heads resulting from the 4 tosses.
Construct the probability distribution for r. (4 Marks)
Compute the expected value and variance for r. (2
Construct the probability distribution for r. (4 Marks)
Compute the expected value and variance for r. (2
Statistics and Probability
It is suspected that higher–priced automobiles are assembled with greater car than lower-priced automobiles. To investigate whether there is any basis for this feeling, large luxury model A, medium-sized Sedan B, and a subcompact hatchback C were compared for defects when they arrived at the dealers’ showroom. All cars were manufactured by the same company to test that the average number of defects is the same for the 3 model.
Statistics and Probability
50 smokers were questioned about the number of hours they sleep each day. We want to test the hypothesis that the smokers need less sleep than the general public which needs an average of 7.7 hours of sleep. If the sample mean is 7.5 and known population standard deviation is 0.5, what can you conclude using significance level of 0.05?
Statistics and Probability
A consulting firm rent cars from two agencies, 45% from agency P and 55% from agency
Q. It is known that 8% of the cars from agency P and 6% of the cars from agency Q have
bad tyres.
iii) If a car rented by firms has good tyres, find the probability that it came from
agency Q.
Q. It is known that 8% of the cars from agency P and 6% of the cars from agency Q have
bad tyres.
iii) If a car rented by firms has good tyres, find the probability that it came from
agency Q.
Statistics and Probability
A consulting firm rent cars from two agencies, 45% from agency P and 55% from agency
Q. It is known that 8% of the cars from agency P and 6% of the cars from agency Q have
bad tyres.
i) Draw a tree diagram for the above situation.
Q. It is known that 8% of the cars from agency P and 6% of the cars from agency Q have
bad tyres.
i) Draw a tree diagram for the above situation.
Statistics and Probability
A batch of 200 boxes of frozen orange juice contains 5 boxes that are defective. Two
boxes are selected a random without replacement.
i) Draw a tree diagram for the above experiment.
boxes are selected a random without replacement.
i) Draw a tree diagram for the above experiment.
Statistics and Probability
with the mean of 0.503 and standard deviation of 0.004 what is the diameter that is exceeded by 53% of ball bearing
Statistics and Probability
With using Independent Samples T-test formula, work on the problem.
Suppose that we want to know the effect of XYZ memory enhancer on studen'ts memory level. So we conducted a study with 20 students. 10 of them were given XYZ memory enhancer and the other 10 did not receive the treatment. We measured the memory level of two groups after the study, Using the .05 alpha, was the XYZ enhancer effective? Use the data below for computation.
Students with , Students without
XYZ XYZ
9 4
10 5
7 2
9 5
8 2
7 2
10 5
8 3
9 4
7 5
Suppose that we want to know the effect of XYZ memory enhancer on studen'ts memory level. So we conducted a study with 20 students. 10 of them were given XYZ memory enhancer and the other 10 did not receive the treatment. We measured the memory level of two groups after the study, Using the .05 alpha, was the XYZ enhancer effective? Use the data below for computation.
Students with , Students without
XYZ XYZ
9 4
10 5
7 2
9 5
8 2
7 2
10 5
8 3
9 4
7 5
Statistics and Probability
With using Independent Samples T-test formula, work on the problem.
Suppose that we want to know the effect of XYZ memory enhancer on studen'ts memory level. So we conducted a study with 20 students. 10 of them were given XYZ memory enhancer and the other 10 did not receive the treatment. We measured the memory level of two groups after the study, Using the .05 alpha, was the XYZ enhancer effective? Use the data below for computation.
Students with XYZ Students without XYZ
9 4
10 5
7 2
9 5
8 2
7 2
10 5
8 3
9 4
7 5
Suppose that we want to know the effect of XYZ memory enhancer on studen'ts memory level. So we conducted a study with 20 students. 10 of them were given XYZ memory enhancer and the other 10 did not receive the treatment. We measured the memory level of two groups after the study, Using the .05 alpha, was the XYZ enhancer effective? Use the data below for computation.
Students with XYZ Students without XYZ
9 4
10 5
7 2
9 5
8 2
7 2
10 5
8 3
9 4
7 5
