CHILD DEVELOPMENT PEDAGOGY

GROWTH DEVELOPMENT CHILD

SUMMATIVE ASSESSMENT

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
A random sample of 45 high school seniors in a large high school has a mean GPA of 3.2 with a standard deviation of 0.51. What is the 95% confidence interval for the mean GPA of all seniors at this large high school?
A
(2.490, 3.910)
B
(3.047, 3.353)
C
(3.061, 3.562)
D
(3.181, 3.421)
Explanation: 

Detailed explanation-1: -Since 95% of values fall within two standard deviations of the mean according to the 68-95-99.7 Rule, simply add and subtract two standard deviations from the mean in order to obtain the 95% confidence interval.

Detailed explanation-2: -95% Confidence Interval (95% CI) In general, a confidence interval is the range of values between the LCL and UCL for a specific group. So, the 95% CI for the height of Men is the range of values between 67 inches and 71 inches. The 95% CI for the height of Women is the range of values between 62 inches and 66 inches.

Detailed explanation-3: -Thus in general for a 100(1−)% confidence interval, E=z/2(/√n), so the formula for the confidence interval is ˉx±z/2(/√n). While sometimes the population standard deviation is known, typically it is not. If not, for n≥30 it is generally safe to approximate by the sample standard deviation s.

Detailed explanation-4: -A confidence interval, in statistics, refers to the probability that a population parameter will fall between a set of values for a certain proportion of times. Analysts often use confidence intervals than contain either 95% or 99% of expected observations.

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