The confidence interval formula is computed by:
Xbar ± Z s/ sqrt (n)
Where:
Xbar is the mean
Z is the z value
S is the standard deviation
N is the number of samples
So our given are:
90% confidence interval with a z value of 1.645
Sample size 40, 45
Mean 180, 179
Standard deviation 2, 4
So plugging that information in the data will give us a
confidence interval:
For 1:
Xbar ± Z s/ sqrt (n)
= 180 ± 1.645 (2 / sqrt (40))
= 180 ± 1.645 (0.316227766)
= 180 ± 0.520194675
= 179.48, 180.52
For 2:
Xbar ± Z s/ sqrt (n)
= 179 ± 1.645 (4 / sqrt (45))
<span>= 179 ± 1.645 (0.596284794)</span>
therefore, the answer is letter b
Answer:
The eighth of an inch scale measures more precisely.
Step-by-step explanation:
An eighth of an inch means that one inch is divided into 8 equal lengths on the scale i.e. the minimum length that can be measured is
inch.
Again a fourth of an inch means that one inch is divided into 4 equal lengths on the scale i.e. the minimum length that can be measured is
inch.
Therefore, the eighth of an inch scale measures more precisely as it can measure more small measurements. (Answer)