Search & Filtering
Two random samples drawn from two normal populations are
given below.
I 20 16 26 27 23 22 18 24 25 19
II 17 23 32 25 22 24 28 6 31 20 33 27
Test whether the two populations have the same variances.
An association of city mayons conducted a study to determine the average number of times a family went to buy necessities in a week. They found that the mean is 4 times in a week. A random a standard deviation of 2 use 5% significance level to test that the population mean is not equal to 5 assume that the population is normally distributed.
Two extrusion machines that manufacture polyester fibers are being compared. in a sample of 1000 fibers taken from machine 1, 960 met specifications regarding fineness and strength. in a sample of 600 fibers taken from machine 2, 582 met the specifications. machine 2 is more expensive to run, so it is decided that machine 1 will be used unless it can be convincingly shown that machine 2 produces a larger proportion of fibers meeting specifications.
a. state the appropriate null and alternate hypothesis for making decision as to which machine to use.
b. compute the test statistics.
c. which machine should be used?
According to a consumer spending survey, the average monthly of BharatBank Visa credit card charge was 1838 INR). A sample of monthly credit card charges provides the following data.
236 1710 1351 825 7450
316 4135 1333 1584 387
991 3396 170 1428 1688
(ii) the first and third quartiles.
(iii) the range and interquartile range.
(iv) the variance and standard deviation.
(v) the skewness measure for these data. Comment on shape of distribution. Is it as expect?
In a company an average of 3 out of every 5 staffs take MC on daily basis. A random sample of 10 staffs is selected. Find the probability that Exactly 6 take MC in a particular week.
Arman wants to study the changes in mean glucose level among netball players before and
after a game. Fifty (50) FSR netball players at UiTM, Shah Alam was randomly sampled. He
finds out that p value of Shapiro-wilk is 0.005. Result showed that p value=0.51, (a=0.05).
a) Based on the study above, determine the appropriate statistical test used to analyze
the data.
A flashlight has 8 batteries, 5 of which are defective. If 5 are selected at random without replacement, find the probability that all of them are defective. Enter your answer as a fraction or a decimal rounded to 3 decimal places. The probability of getting all of them defective batteries is
.
(iv) Records show that the probability is 0.000002 that a bike rider will have an accident while driving on the way of university through Biswamil. Using poisson distribution determine the probability that among 200,000 bike riders driven on the way of university through Biswamil, not more than one will have an accident. ( e-0.4 = 0.67)
(iii) During a laboratory experiment, the average number of radioactive particles passing through a counter in 1 millisecond is 2. What is the probability that 5 particles enter the counter in any given millisecond?
(ii) If 1% of an airline’s flight suffers a minor equipment failure in an aircraft, what is the probability that there will be exactly 5 such in the next 1000 such flights?
