Statements given below are related to analysis of variance. Identify the statements that are true. Statement I The shape of 'F' distribution depends on the number of degrees of freedom in both the numerator and the denominator of the 'F' ratio. Statement II In analysis of variance, sample sizes should be equal. Statement III Analysis of variance may be used to test whether the means of more than two populations are equal.
In a certain field of construction work, the wages are assumed to follow a normal distribution, with an average wage of Rs. 4 per day and a standard deviation of Rs. 0.50. If 20 workers received wages of more than Rs. 4.50 per day, what is the total number of workers?
21 students took a exam. The sample variance is foundto be 80. The examiner claimsthat based on his past experience the true variance has been atleast 100. Does the sample result shows that the population variance significantly less than 100?
[Hint x2=σ2(r−1)s=100(21−1)×80=16
The value of x2 for 20 df 5% level of significance is 31.4. x2 value is less than table value.]
A random sample of 15 pairs of values of X and Y from a normal population gives a correlation coefficient of +0.6. Is the correlation in the population significant?