1. A confidence interval consists of a range of plausible values for the population parameter we are estimating. True False 2. The standard error of the mean provides a measure of how far a sample mean is expected to deviate from the actual mean of the population. True False 3. If a study is repeated 100 times and for each study a 95% confidence interval is computed, how many of these confidence intervals are expected to contain the true population parameter? 0 5 95 100
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True. A confidence interval does indeed consist of a range of plausible values for the population parameter we are estimating. It gives an estimated range of values which is likely to include an unknown population parameter. Show more…
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Answer true or false for the following statements: The 95% confidence interval for the mean: 1. Contains the sample mean with 95% certainty. 2. Is less likely to contain the population mean than the 99% confidence interval. 3. Contains 95% of the observations in the population. 4. Is approximately equal to the sample mean plus and minus two standard deviations. a. [1] False, [2] True, [3] False, [4] False b. [1] True, [2] False, [3] False, [4] False c. [1] True, [2] True, [3] False, [4] False d. [1] True, [2] False, [3] True, [4] False e. [1] False, [2] True, [3] True, [4] False
Umar Sohail Q.
True or False: 1. To construct a confidence interval for population proportions, the individuals in the population must be divided into two categories, a simple random sample of the population must contain at least 10 individuals in each category, and the population must be at least 20 times as large as the sample. 2. When the population is approximately normal, or the sample size is large (n > 30), we can use the chi-squared distribution to construct a confidence interval for a population mean mu when the population standard deviation is unknown. 3. When a population is almost exactly normal, it is possible to find a confidence interval for the variance or standard deviation of the population using the student's t distribution. 4. The sampling distribution of a sample proportion is approximately normal as long as the sample size is large enough. The sample size is large enough if both np and n(1 - p) are at least 10. 5. A point estimate is a single number that is used to estimate the value of an unknown parameter.
Ajiboye T.
Which of the following is NOT true about a 95% confidence interval? It provides a range of plausible values for a population parameter. We'll obtain the same confidence interval if we repeat the exact same study (same sample size, same variables, same sampling procedure) with different participants. Over repeated sampling, it will contain the population parameter 95% of the time. It is a type of interval estimate for a population parameter.
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