Question

A beef rancher randomly selected 42 cattle from her large herd to obtain a 95% confidence interval to estimate the mean weight of the cows in the herd. The interval obtained was (1010, 1321). If the rancher had used a 98% confidence interval instead, the interval would have been ___________.

Answer 1

Wider and less accurate than the original estimate

Explanation:

We now use a 98% confidence interval instead of a 95% confidence interval, which means that the confidence level increases. As the confidence level increases, the confidence that the confidence interval contains the real mean increases, which means that the confidence interval must contain more possible values for the mean, which implies that the confidence interval is more wider and being broader is less accurate

Therefore, the interval would have been wider and less accurate than the original estimate.