CHILD DEVELOPMENT PEDAGOGY

GROWTH DEVELOPMENT CHILD

SUMMATIVE ASSESSMENT

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
A 95 percent confidence interval for the mean time, in minutes, for a volunteer fire company to respond to emergency incidents is determined to be (2.8, 12.3). Which is the best interpretation of the interval?
A
The probability is 0.95 that a randomly selected time for response will be between 2.8 minutes and 12.3 minutes.
B
Ninety-five percent of the time the mean time for response is between 2.8 minutes and 12.3 minutes.
C
We are 95% confident that a randomly selected time for response will be between 2.8 minutes and 12.3 minutes.
D
We are 95% confident that the population mean time for response is between 2.8 minutes and 12.3 minutes.
Explanation: 

Detailed explanation-1: -A 95 percent confidence interval for the mean time, in minutes, for a volunteer fire company to respond to emergency incidents is determined to be (2.8, 12.3). Which of the following is the best interpretation of the interval? We are 95% confident that the mean time for response is between 2.8 minutes and 12.3 minutes.

Detailed explanation-2: -A 95% confidence interval is a range of values above and below the point estimate within which the true value in the population is likely to lie with 95% confidence.

Detailed explanation-3: -Suppose we want to generate a 95% confidence interval estimate for an unknown population mean. This means that there is a 95% probability that the confidence interval will contain the true population mean. Thus, P( [sample mean]-margin of error < < [sample mean] + margin of error) = 0.95.

Detailed explanation-4: -A 95% confidence interval for the mean reading achievement score for a population of third-grade students is (44.2, 54.2).

Detailed explanation-5: -For a two-tailed 95% confidence interval, the alpha value is 0.025, and the corresponding critical value is 1.96. This means that to calculate the upper and lower bounds of the confidence interval, we can take the mean ±1.96 standard deviations from the mean.

There is 1 question to complete.