An electronics manufacturing process has a scheduled mean completion time of 70 minutes. It is claimed that, under new management, the mean completion time, μ, is less than 70 minutes. To test this claim, a random sample of 20 completion times under new management was taken.The sample had a mean completion time of 65 minutes and a standard deviation of 10 minutes. Assume that the population of completion times under new management is normally distributed. At the 0.05 level of significance, can it be concluded that the mean completion time, μ, under new management is less than the scheduled mean? Perform a one-tailed test. Then fill in the table below.Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. A psychologist is studying the self image of smokers, as measured by the self-image (SI) score from a personality inventory. She would like to examine themean SI score, µ, for the population of all smokers. Previously published studies have indicated that the mean SI score for the population of all smokers is 80and that the standard deviation is 10, but the psychologist believes that the value for the mean has decreased. She plans to perform a statistical test. She takesa random sample of SI scores for smokers and computes the sample mean to be 72.Based on this information, answer the questions below.What are the null hypothesis (H) and the alternative hypothesis (H,) that should be used for the test?H: µ is ?H: p is ?In the context of this test, what is a Type II error?A Type II error is ?fact, p is ?v the hypothesis that u is ?when, inSuppose that the psychologist decides not to reject the null hypothesis. What sort of error might she bemaking? ?

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Description: An electronics manufacturing process has a scheduled mean completion time of 70 minutes. It is claimed that, under new management, the mean completion time, μ, is less than 70 minutes. To test this claim, a random sample of 20 completion times under

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An electronics manufacturing process has a scheduled mean completion time of

minutes. It is claimed that, under new management, the mean completion time,

, is less than

minutes. To test this claim, a random sample of

completion times under new management was taken.

The sample had a mean completion time of

minutes and a standard deviation of

minutes. Assume that the population of completion times under new management is normally distributed. At the

0.05

level of significance, can it be concluded that the mean completion time,

, under new management is less than the scheduled mean?

Perform a one-tailed test. Then fill in the table below.

Carry your intermediate computations to at least three decimal places and round your answers as specified in the table.

A psychologist is studying the self image of smokers, as measured by the self-image (SI) score from a personality inventory. She would like to examine the
mean SI score, µ, for the population of all smokers. Previously published studies have indicated that the mean SI score for the population of all smokers is 80
and that the standard deviation is 10, but the psychologist believes that the value for the mean has decreased. She plans to perform a statistical test. She takes
a random sample of SI scores for smokers and computes the sample mean to be 72.
Based on this information, answer the questions below.
What are the null hypothesis (H) and the alternative hypothesis (H,) that should be used for the test?
H: µ is ?
H: p is ?
In the context of this test, what is a Type II error?
A Type II error is ?
fact, p is ?
v the hypothesis that u is ?
when, in
Suppose that the psychologist decides not to reject the null hypothesis. What sort of error might she be
making? ?

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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