A. The mean and standard deviation.
The mean of a sampling distribution is approximately equal to the mean of the population. Given that the mean of the population is equal to 174.5, the mean of the sampling distribution is also this value.
The standard deviation of a sample distribution is equal to,
u(m) = u/sqrt n
Substituting the known values,
u(m) = 6.9 / sqrt 25 = 1.38
b. Get the z-score of both items,
z-score = (data point - mean) / standard deviation
z-score of 172.5
z-score = (172.5 - 174.5) / 1.38 = -1.49
This translates to 0.068.
z-score of 175.8
z-score = (175.8 - 174.5) / 1.38 = 0.94
This translates to 0.83.
The difference between the two z-scores is 0.762.
The number of samples with this height is 0.762(200) which is equal to approximately 152.
c. z-score of 172 centimeters
z-score = (172 - 174.5) / 1.38
z-score = -1.81
This translates to 0.03.
The number of people with this height from the sample is (0.03)(200) = 6
Angle AOD = 180
4x-2 + 5x+10 + 2x+14 = 180
11x + 22 = 180
11x = 180 - 22 = 158
x = 158/11
10.7
23.7-10=10
that r the maths
Answer:
a) Narrower
b) Narrower
c) Wider
Step-by-step explanation:
We are given the following in the question:
Proportion of coworker who received flu vaccine = 32%
98% confidence interval: (0.231, 0.409)
Confidence interval:
a) Sample size had been 600 instead of 150
If we increase the sample size, thus the standard error of the interval decreases.
Since the standard error decreases, the confidence interval become narrower.
b) Confidence level had been 90% instead of 98%
As the confidence level increases, the confidence interval becomes narrower. This is due to a smaller value of z-statistic at 90% confidence level.
c) Confidence level had been 99% instead of 98%
As the confidence level increases, the width of the confidence interval increases and the confidence interval become wider. This is because of a larger value of z-statistic at 99% confidence interval.
The correct answer is "Amsterdam is the same distance from sea level as Drachten." Each is two meters from sea level; Amsterdam is 2 meters under, Drachten two meters over.
