Tomatoes Use the data from exercise 9.36 . a. Using the four-step procedure with a two-sided alternative hypothesis, should you be able to reject the hypothesis that the population mean is 5 pounds using a significance level of 0.05 ? Why or why not? The confidence interval is reported here: I am 95 % confident the population mean is between 4.9 and 5.3 pounds. b. Now test the hypothesis that the population mean is not 5 pounds using the four-step procedure. Use a significance level of 0.05 and number your steps.
Tomatoes Use the data from exercise 9.36 . a. Using the four-step procedure with a two-sided alternative hypothesis, should you be able to reject the hypothesis that the population mean is 5 pounds using a significance level of 0.05 ? Why or why not? The confidence interval is reported here: I am 95 % confident the population mean is between 4.9 and 5.3 pounds. b. Now test the hypothesis that the population mean is not 5 pounds using the four-step procedure. Use a significance level of 0.05 and number your steps.
Solution Summary: The author explains whether or not the hypothesis that the population mean is 5 pounds can be rejected at 0.05 significance level.
a. Using the four-step procedure with a two-sided alternative hypothesis, should you be able to reject the hypothesis that the population mean is 5 pounds using a significance level of
0.05
? Why or why not? The confidence interval is reported here: I am
95
%
confident the population mean is between
4.9
and
5.3
pounds.
b. Now test the hypothesis that the population mean is not 5 pounds using the four-step procedure. Use a significance level of
0.05
and number your steps.
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 + ...
Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561
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