One-way analysis of variance is a generalization of the two sample t-test.
The one-way analysis of variance (ANOVA) is indeed an extension of the two-sample t-test, designed to compare means across three or more groups. While the two-sample t-test is specifically used to compare the means of two independent groups, ANOVA allows for the comparison ______ ___ ____ _____ ___ _______ ____ ___ _________ ___ ____.
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If one wants to convert random numbers selected from two digit numbers 00-99 to uniformly distributed U (0, 1) variables then one has to divide them by 99.
If strata are heterogeneous then stratified sampling schemes provides estimates with greater precision.
A sample of 100 villagers is to be drawn from a population of villages A and B. The population means and population mean squares of their monthly wages are given below:
| Village | Ni | ||
| Collage A | 400 | 60 | 20 |
| Collage B | 200 | 120 | 80 |
By generating 10 uniform random variate U (0, 1) estimate the integral
Recognizing this function as probability density function of N (0,1), compare the value of with
.
In SRSWOR, the possible numbers of sample of size n from a population of size N if sampling is done with replacement is Nn .
A manufacturer wishes to determine the effectiveness of four types of machines (A, B, C and D) in the production of bolts. To accumulate this, the numbers of defective bolts produced for each of two shifts in the results are shown in the following table:
| Machine | First Shift | Second Shift | ||||||||
| A | 6 | 4 | 5 | 5 | 4 | 5 | 7 | 4 | 6 | 8 |
| B | 10 | 8 | 7 | 7 | 9 | 7 | 9 | 12 | 8 | 8 |
| C | 7 | 5 | 6 | 5 | 9 | 9 | 7 | 5 | 4 | 6 |
| D | 8 | 4 | 6 | 5 | 5 | 5 | 7 | 9 | 7 | 10 |
A manufacturer wishes to determine the effectiveness of four types of machines (A, B, C and D) in the production of bolts. To accumulate this, the numbers of defective bolts produced for each of two shifts in the results are shown in the following table:
| Machine | First shift | Second Shif | ||||||||
| M | T | W | Th | F | M | T | W | Th | F | |
| A | 6 | 4 | 5 | 5 | 4 | 5 | 7 | 4 | 6 | 8 |
| B | 10 | 8 | 7 | 7 | 9 | 7 | 9 | 12 | 8 | 8 |
| C | 7 | 5 | 6 | 5 | 9 | 9 | 7 | 5 | 4 | 6 |
| D | 8 | 4 | 6 | 5 | 5 | 5 | 7 | 9 | 7 | 10 |