Answer:
1) a.) Your confidence interval estimate is narrower
2) c.) The width of a confidence interval estimate for a proportion will be narrower for 90% confidence level than for a 95% confidence level
Step-by-step explanation:
Confidence Interval can be stated as M±ME where
- ME is the margin of error
Margin of Error determines the range of the confidence interval around the mean.
Margin of error (ME) of the mean can be calculated using the formula
ME=
where
- z is the corresponding statistic in the given confidence level
- s is the standard deviation of the sample(or the population if it is known)
From the formula we can reach the following conclusions:
- As N increases, ME decreases.
- as confidence level increases, corresponding statistic increases, and thus margin of error increases.
Since your sample size (49) is bigger than your friend's (36), your confidence interval is narrower, because margin of error is narrower.
Since the confidence level 90% has smaller statistic than the confidence level 95%, its confidence interval is narrower.
That is, we can estimate <em>narrower</em> confidence intervals with less confidence.
Answer:
1
Step-by-step explanation:
You can make 12, 13, 14, 21, 23, 24, 31, 32, 34, 41, 42, and 43. So 12 numbers
Answer:
The square root of 37 minus the square root of 26

Step-by-step explanation:
a) 7 pi / square root 10 = 7(3.14)/3.162277660 = 6.95
b) square root 75 - square root 74 = 8.660254038-8.602325267=0.058
c) square root 37 - square root 26 = 6.082762530-5.099019514=0.98
s) 3 square root 5 - square root 20 / square root 2 =
3(2.236067978) - 4.472135955/1.414213562=6.708203934-3.162277661=
3.546