If α is the level of significance and if (1 − α) is increased, then the width of the confidence interval of mean:
increases
As the confidence level increases (i.e., as 1 − α increases), the confidence interval becomes wider. This is because a higher confidence level corresponds to a larger margin of error, ensuring that the true parameter value lies within the interval with greater certainty.
Important Questions from Hypothesis testing
The analysis of variance technique was introduced by:
The power of a test is:
The term ‘Analysis of variance’ was introduced by:
Which of the following can be applied as a goodness-of-fit test?
For two-way classification, let number of treatments and blocks be 5 and 5, respectively. It is given that SSTR (sum of squares due to treatments) = 18.5335, SSE (sum of squares due to error) = 3.545 and SST (total sum of squares) = 46.9335. The value of F-statistic for testing equality of effectiveness of five treatments is:
