1.555
With 88% confidence, there is 6% (0.06) in either tail of the standard Normal distribution. Table C will not help here. Using Table A the correct z* is about halfway between 1.55 and 1.56. According to technology, z*=1.555
norminv([(1-0.86)/2 1 - (1-0.86)/2], 0, 1) which results in a z-score range of -1.4758 to 1.4758
The value is 0.3055
z = ±0.44
For a two-tailed interval, they are -1.645 to 1.645
No. The width of the confidence interval depends on the confidence level. The width of the confidence interval increases as the degree of confidence demanded from the statistical test increases.
1.75
1.31
The answer will depend on whether the critical region is one-tailed or two-tailed.
The answer depends on whether the interval is one-sided or two-sided and, if two-sided, whether or not it is symmetrical.
It depends on whether the interval is one sided or two sided. The critical value for a 2-sided interval is 1.75
The value for a one-sided confidence interval of 86% is 1.08
norminv([(1-0.86)/2 1 - (1-0.86)/2], 0, 1) which results in a z-score range of -1.4758 to 1.4758
The user selects the confidence level. It could also be 90 or 99 or 99.9 or another value.
Z = ± 1.8119 gives a two-tailed interval of 93%
The value is 0.3055
The Z-value for a one-sided 91% confidence interval is 1.34
1.96