Answer:
The interval will be narrower if the researchers increase the sample size of droplets.
Step-by-step explanation:
The confidence interval can be obtained using the relation :
Xbar ± Margin of error
Margin of Error = Zcrit * s/sqrt(n)
Zcritical = critical vlaue at the specified α - level
n = sample size ; s = standard deviation
Sample size being the denominator, will reduce the overall value of the error margin as we utilize a larger sample.
Hence, the interval becomes narrower as the error margin is reduced which is achieved by employing an increased sample size.
Answer:
B. The interval will be narrower if the researchers increase the sample size of droplets.
Step-by-step explanation:
B. The interval will be narrower if the researchers increase the sample size of droplets.
Margin of error of a confidence interval:
The higher the margin of error, the wider an interval is.
In which z is related to the confidence level(the higher the confidence level, the higher z), is the standard deviation of the population and n is the size of the sample.
From this, we conclude that:
If we increase the confidence level, the interval will be wider.
If we increase the sample size, the interval will be narrower.
Which of the following statements about a 95 percent confidence interval for the mean width is correct?
Increasing the sample size leads to a narrower interval, so the correct answer is given by option B.
