Interpreting computer output: The following output from MINITAB presents the results of a hypothesis test.Test of μ = 232 vs > 232The assumed standard deviation = 39NMeanSE Mean95% Lower BoundZP52242.415.41233.511.920.027(a) What are the null and alternate hypotheses?(b) What is the value of the test statistic?(c) What is the P-value?(d) Do you reject H0 at the =α0.05 level? (e) Do you reject H0 at the =α0.01 level?

Name: Interpreting computer output: The following output from MINITAB presen
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Description: Interpreting computer output: The following output from MINITAB presents the results of a hypothesis test.Test of μ = 232 vs > 232The assumed standard deviation = 39NMeanSE Mean95% Lower BoundZP52242.415.41233.511.920.027(a) What are the null and alt

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Interpreting computer output: The following output from MINITAB presents the results of a hypothesis test.

Test of μ = 232 vs > 232
The assumed standard deviation = 39
N	Mean	SE Mean	95% Lower Bound	Z	P
52	242.41	5.41	233.51	1.92	0.027

(a) What are the null and alternate hypotheses?

(b) What is the value of the test statistic?

(d) Do you reject

at the

=α0.05

level?

(e) Do you reject

at the

=α0.01

level?

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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