s there a difference in the grades on tests given immediately before and immediately after the Thanksgiving holiday? To answer this, a professor gives one of her sections the test before the holiday and the other after it. The 30 students who took the test before the holiday had mean 80 and standard deviation 10, while the 30 students who took the test after the holiday had mean 70 and standard deviation 20. a) Find a 90% confidence interval for the difference in the mean scores before and after the holiday. b) If you did the corresponding hypothesis test to determine if the mean is higher before the holiday, what would be? c) Would the hypothesis test reject H0? Answer from the confidence interval—do NOT perform the test.
s there a difference in the grades on tests given immediately before and immediately after the Thanksgiving holiday? To answer this, a professor gives one of her sections the test before the holiday and the other after it. The 30 students who took the test before the holiday had mean 80 and standard deviation 10, while the 30 students who took the test after the holiday had mean 70 and standard deviation 20. a) Find a 90% confidence interval for the difference in the mean scores before and after the holiday. b) If you did the corresponding hypothesis test to determine if the mean is higher before the holiday, what would be? c) Would the hypothesis test reject H0? Answer from the confidence interval—do NOT perform the test.
s there a difference in the grades on tests given immediately before and immediately after the Thanksgiving holiday? To answer this, a professor gives one of her sections the test before the holiday and the other after it. The 30 students who took the test before the holiday had mean 80 and standard deviation 10, while the 30 students who took the test after the holiday had mean 70 and standard deviation 20. a) Find a 90% confidence interval for the difference in the mean scores before and after the holiday. b) If you did the corresponding hypothesis test to determine if the mean is higher before the holiday, what would be? c) Would the hypothesis test reject H0? Answer from the confidence interval—do NOT perform the test.
s there a difference in the grades on tests given immediately before and immediately after the Thanksgiving holiday? To answer this, a professor gives one of her sections the test before the holiday and the other after it. The 30 students who took the test before the holiday had mean 80 and standard deviation 10, while the 30 students who took the test after the holiday had mean 70 and standard deviation 20. a) Find a 90% confidence interval for the difference in the mean scores before and after the holiday. b) If you did the corresponding hypothesis test to determine if the mean is higher before the holiday, what would be? c) Would the hypothesis test reject H0? Answer from the confidence interval—do NOT perform the test.
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
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