The following values represent a population with mean ? = 4926.6. 5457 6836 5763 5758 3514 3547 3004 5003 3367 6463 5481 A sample from this population is 6463, 5003, 3004, 5481. Compute the sample mean and indicate whether the sample mean underestimates or overestimates the population mean. Round the sample mean to one decimal place. The sample mean is x? = ____ . The sample mean (Choose one) ____ the population mean ? = 4926.6 because the sample mean is (Choose one) ____ than 4926.6.
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Use this information for the next several questions. A sample of 10 participants was given an experimental treatment. Test whether the sample represents a population that is different from the general population. The sample of 10 had a mean of 49. The general population of individuals has a mean of 44, a standard deviation of 6, and follows a normal curve. Carry out a Z test using the five steps of hypothesis testing with a two-tailed test at the 0.05 significance level, and identify a drawing of the distributions involved. Figure the 95% confidence interval. Question 18 (1 point) Determine a research hypothesis and a null hypothesis (for the information above). Choose the correct answer below.
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Paul A.
1. What is one concern about using the mean as the measure of central tendency? A. The value of the mean can be greatly influenced by a few extremely large or small values. B. It is difficult to calculate the mean of ordinal data. C. Some distributions have more than one mean. D. The value of the mean is always different from the value of the median. 2. Is it unusual for the sampling mean to be exactly the same as the population mean? A. No, the probability of the sample mean being equal to the population mean is generally quite high. B. Yes, it is unlikely that the sample mean would equal the population mean because of sampling error. C. Yes, the sample mean would likely not equal the population mean because of the Empirical Rule. D. No, a well-designed sample will generally have a mean equal to the population mean. 3. When conducting a one-tailed hypothesis test, you... A. should advise the client to use a Confidence Level of at least 95%. B. should determine if it is a right or left-tailed test. C. should divide alpha into 2 equal parts. D. should always use a Z test if the sample size is greater than 30 observations.
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