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If scores are normally distributed with a mean of 30 and a standard deviation of 5.what percentage of the scores is?
If scores are normally distributed with a mean of 30 and a standard deviation of 5.what percentage of the scores is?
Assume that the average monthly earnings for the estate workers to be Rs 8500. A sample of 100 garment workers shows a sample mean is Rs 8000. Use a population standard deviation of Rs 1000.
(i) Formulate the null and alternative hypotheses that can be used to determine whether the sample data support the conclusion that the population mean wage is less than that of Rs 8500. (04 marks)
(ii) What is the value of test statistic?
(iii) What is the p-value?
(iv) What was the confidence interval?
(v) At a = 0.01, what is your conclusion.
If you wanted to draw up a simulation exercise to investigate the effect of a new form of insulated ceiling and range of the spread of a fire in a building, how would you go about selecting a simulation exercise?
On average, four students visits the Mathematics and Statistics tutoring centre during a 5-minute period. (a) Calculate the probability that three students visit the centre during a 5- minute period. [3] (b) During a ten-minute period, what is the probability that at least 4 students visit the centre? [5] T
Three coins are tossed and the random variable Z gives the number of tails. Find
the range space, possible outcomes, and give the table of values.
A course in Physics was taught to 10 students using the traditional method Another group of 11 students went through the same course using another method. At the end of the semester, the same test was administered to each group. The 10 students under method A got an average of 82 with a standard deviation of 5, while the 11 students
under method B got an average of 78 with a standard deviation of 6. Test the null hypothesis of no significant difference in the performance of the two groups of students at 5% level of significance
Find the variance and standard deviation of the probability distribution of a random variable x which can take only the values 1,5,3,7,9 and 2 given that P(1) = 1/14 , P(5) = 2/14, P(3) = 4/14, P(7) = 3/14, P(9) = 1/14, P(2) = 3/14.
Find the variance and standard deviation of the probability distribution of a random variable x which can take only the values 1,2,3,4 and 5, given that P(1) = 3/10, P(2) = 1/10, P(3) = 2/10, P(4) = 3/10, P(5) = 1/10.
Consider a population consisting of 3, 6, 7, 9, 10, 4, and 8. Suppose samples of size 2 are drawn from this population. Describe the sampling distribution of sample means. What is the standard deviation of the sampling distribution? NOTE: EXPRESS YOUR ANSWER INTO 4 DECIMAL PLACE VALUES
