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There is a bag filled with 4 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 of the same colour?
One of the following cannot be considered as a factor that affect consumption
Select one:
a. None of the options are correct
b. Interest rates
c. Wealth
d. Price expectations
The time taken to complete a particular type of a job is distributed approximately normally with mean 1.8 and standard deviation of 0. 1hours.Calculate the estimated completion time (to the nearest minute) that should be set so that there is a 90% chance that the job is completed on time
Digital limited is a manufacturing company that deals in the production of soft drink bottles. During a quality assurance exercise, it was noted that of every production lot, 0.2 per cent of soda bottles are found to be defective. The soda bottles are packed in crates each containing 25 bottles. A soft drinks manufacturer recently bought 1,500 crates of soda bottles from Digital Limited. Using the Poisson distribution, determine the number of crates that will contain (i) No defective soda bottle (ii)At least two defective soda bottles
There are three candidates for the position of a head teacher-Ochieng, Abdul and Njeri, whose probabilities of getting the appointment are and respectively. The probability that Ochieng if selected will introduce co-education in the school is 0.3.The probability of Abdul and Njeri doing the same are respectively 0.5 and 0.8.What is the probability that there will be co-education in school?
The average running time for Broadway shows is 2 hours and 12 minutes. A producer in another city claims that the length of time of productions in his city is the same. He samples 8 shows and finds the time to be 2 hours and 5 minutes with a standard deviation of 11 minutes. Using , is the producer correct?
The SRTC gets its budget for a training program on the assumption that the average of the supplies is to be P12, 000 or less. To see if this claim is realistic, 10 supply figures are randomly obtained from similar training programs. The sample has yielded a mean =P12, 900 and s = P1, 100. Is the mean greater than P12, 000? Use to test the hypothesis.
Suppose a statistician chose to test a hypothesis at . the critical value for a right-tailed test is . If the test value was , what would the decision be? What would happen if, after seeing the test value, she decided to choose ? What would the decision be? Explain the contradiction, if there is one.
A new manufacturing method is supposed to increase the average life span of electronic components, while the variance of the life span is expected to stay the same. Using the previous manufacturing method, the average life span was 110 hours with a variance of 9 hours. The manufacturer measures the life spans of a sample of components manufactured using the new method. The sample of 20 yields a sample mean of 125 for the life spans of the components. Does the data provide sufficient evidence for the claim at the 1% level of significance?
Clearly show how you draw a conclusion when you test this hypothesis, using both methods, i.e.
(a) critical value approach, and (b) p-value approach.
