The following data relate to the number of items produced per shift followed normal distribution by two workers Rahul and Ramesh for a number of days:
| Rahul | 19 | 22 | 24 | 27 | 24 | 18 | 20 | 19 | 25 | |||||||||||
| Ramesh | 26 | 37 | 40 | 35 | 30 | 40 | 26 | 30 | 35 | 45 | ||||||||||
Can it be inferred that Rahul is more stable worker compared to Ramesh by testing the variation in the item produced by them at 5% level of significance.
To determine whether Rahul is a more stable worker compared to Ramesh, we need to test the variation in the number of items produced by each worker using an F-test for equality of variances at a 5% level of significance. ### Steps to solve: 1. State the hypotheses: - Null ___ ______ __________ ________ ________ _________.
___ _______ ____ __________ ______ ________ ________ _______ _____ ________.
_______ _______ _____ _______ _________ _______ __________ ____ ____ ____.
________ _______ ______ ___ _____ __________.
_____ ___ _______ ___ _____.
____ ___ _________ ____ _________ ___ ____ _______ ____.
__________ _____ _________ ___ ________.
_________ ________ _______ ___ ______ __________ __________ ________.
____ _______ _____ ____ ________ ______ _________ ______ ________.
_____ __________ _____ ___ ______ ______ ___ __________ ____ _____ ________.
______ _______ ________ _________ ______ _____.
_______ _________ _____ ____ _______ ______ __________.
______ ______ _________ ___ _____ ___ _______ _______ _____.
_____ ______ _________ _________ _________ ____ _____ _______ ______.
_________ ____ ________ ________ ______ ________ ____ ________.
______ _____ ___ _________ _______ _____ ____ ________ ________.
_________ _______ ______ __________ ____ __________ __________ ___ ___.
_____ _________ ______ ___ __________ ____ ______ ___ _______.
______ ___ ____ ____ __________.
_______ _________ _______ _________ _________ _________ __________ __________ _______ ___ ______ _______.
__________ ___ __________ _________ ________.
______ ______ __________ ____ ______ _______ ____ _________ ________ ____ ______ ________.
____ ____ ______ ____ __________ ___ __________ _____.
__________ ____ ____ ______ _____.
__________ _______ __________ _________ _________ ___ ________ _____ __________.
Get Full Answer on WhatsApp
In a city, 36 out of a random sample of 500 men were found to drinkers at a certain date. After the heavy increase in tax on intoxicants, another sample of 100 men in the same city included 6 drinkers. Do you feel that the observed proportion of drinkers decreasing significantly at 1%level?
The following data relate to the number of items produced per shift followed normal distribution by two workers Rahul and Ramesh for a number of days:
| Rahul | 19 | 22 | 24 | 27 | 24 | 18 | 20 | 19 | 25 | |||||||||||
| Ramesh | 26 | 37 | 40 | 35 | 30 | 40 | 26 | 30 | 35 | 45 | ||||||||||
State whether the following statements are True or False. Give reason in support of your answer.
a) If probability density function of a t-distribution is
then degrees of freedom of the distribution will be 1.
b) If T1 and T2 are two estimators of an parameter θ such that Var(T1) = 1/2n and
Var(T2) = 2/n then T1 is more efficient than T2.
c) If the probability of non rejection of H0 when H1 is true is 0.4 then power of the test
will be 0.6.
d) The Wilcoxon signed-rank test is more powerful than the sign test.
e) The t-test is used for testing the independence of two attributes.
The blood cholesterol levels of a population of workers have mean 202 mg/dl and standard deviation 14 mg/dl. If a sample of 36 workers is selected from the population and sample mean is calculated then find
i) mean and standard error of the sampling distribution of the mean.
ii) approximate the probability that the sample mean of their blood cholesterol levels will lie between 198 mg/dl and 206 mg/dl.
A sample of 100 tyres is taken from a lot. The mean life of the tyres selected is the sample is found to be 40,000 kms with a standard deviation of 3200 kms. Is it reasonable to suppose the mean life of tyres in the lot as 41,000 kms at 5% level of significance? Also establish 95% confidence limits within which the mean life of tyres in the lot is expected to lie.
A random sample of nine college students yielded the following data concerning the number of hours per day each student spent in using mobile phone:
5, 2, 7, 5.5, 3.5, 4, 5, 4.5, 4
Estimate the average number of hours per day spent in using mobile phone by the college students.
. Complete the following table:
| S. No. | Test for | Name of the Test | Null and Alternative Hypotheses | Test Statistic | Assumptions for Applying the Test | Decision Rule (in short) | |||||||||||||
| 1 | Population mean when population variation is known | ||||||||||||||||||
| 2 | Population mean when population variation is unknown | ||||||||||||||||||
| 3 | Population proportion | ||||||||||||||||||
| 4 | Difference of two population means | ||||||||||||||||||
| 5 | Two population standard deviation | ||||||||||||||||||
| 6 | Difference of two population proportion | ||||||||||||||||||
| 7 | Independence of two attributes | ||||||||||||||||||