GROWTH DEVELOPMENT CHILD
SUMMATIVE ASSESSMENT
Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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This confidence interval is an accurate estimate of the mean reading score for the district because the sample size is large enough.
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This confidence interval is not an accurate estimate of the mean reading score for the district because the sample size is too small to guarantee an approximately normal sampling distribution.
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This confidence interval is not an accurate estimate of the mean reading score for the district because it is only has a 90% confidence level.
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This confidence interval is an accurate estimate of the mean reading score for the district because a random sample was taken.
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Detailed explanation-1: -Because 0.0495 is to the right of-1.6 and under 0.05, its standard score is-1.65. Thus Z/2 = 1.645 for 90% confidence.
Detailed explanation-2: -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-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: -When calculating a 95% confidence interval for the difference between two means, which of the following is true? When the confidence interval ranges from a positive value to a positive value, we find that there is conclusive evidence (at 95% confidence) that both population means are positive.