Rothamsted Experimental Station (England) has studied wheat production since 185
ID: 3250049 • Letter: R
Question
Rothamsted Experimental Station (England) has studied wheat production since 1852. Each year many small plots of equal size but different soil/fertilizer conditions are planted with wheat. At the end of the growing season, the yield (in pounds) of the wheat on the plot is measured. Suppose for a random sample of years, one plot gave the following annual wheat production (in pounds):
3.84
2.43
3.77
5.20
4.77
4.07
2.87
4.16
5.25
3.64
3.12
3.61
4.41
3.50
2.88
3.77
4.15
4.37
4.25
4.01
3.33
3.53
3.85
4.43
3.76
3.38
3.43
4.10
4.05
3.61
3.85
3.50
Given that P-Value < 0.01, will you reject or fail to reject the null hypothesis?
Since the P-Value is less than the level of significance, we fail to reject the null hypothesis that the variances are equal. At 0.05 level of significance, we conclude that the variance for the first plot is equal to the variance for the second plot.
Since the P-Value is greater than the level of significance, we fail to reject the null hypothesis that the variances are equal. At 0.05 level of significance, we conclude that the variance for the first plot is greater than the variance for the second plot.
Since the P-Value is less than the level of significance, we fail to reject the null hypothesis that the variances are equal. At 0.05 level of significance, we conclude that the variance for the first plot is greater than the variance for the second plot.
Since the P-Value is less than the level of significance, we reject the null hypothesis that the variances are equal. At 0.05 level of significance, we conclude that the variance for the first plot is greater than the variance for the second plot.
Since the P-Value is greater than the level of significance, we reject the null hypothesis that the variances are equal. At 0.05 level of significance, we conclude that the variance for the first plot is greater than the variance for the second plot.
3.84
2.43
3.77
5.20
4.77
4.07
2.87
4.16
5.25
3.64
3.12
3.61
4.41
3.50
2.88
3.77
Explanation / Answer
Since, it is given that p value< 0.01
The right answer is d) since the P value is less than the level of significance, we reject the null hypothesis that the variances are equal. At 0.05 level of significance, we conclude that the variances for the first plot is greater than the variances for the second plot.
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