hypothesis testing The mean water consumption of households living in Christine Subdivision is 33.5 cubic meters per month. A random sample of 40 households in the same place has a mean water consumption of 30 cubic meters per month with a standard deviation of 8 cubic meters. Formulate an appropriate null and alternative hypothesis. What is the probability of committing a Type I error? Can we conclude that the mean consumption is not 33 cubic meters per month with a confidence level of 95%? Use a one-tailed test. Using the z table, find the critical value (or values) for each = 0.05, two-tailed test = 0.01, left-tailed test = 0.01, right-tailed test = 0.10, two-tailed test = 0.10, right-tailed test Find the critical value (or values) for the t test for each. . n = 10, = 0.05, right-tailed test n = 18, = 0.10, two-tailed n = 6, = 0.01, left-tailed n = 9, = 0.025, right-tailed n = 15, = 0.05, two-tailed In building an arena, steel bars with a mean ultimate tensile strength of 400 Megapascal (MPa) with a variance of 81 MPa were delivered by the manufacturer. The project engineer tested 50 steel bars and found out that the mean ultimate tensile strength is 390 MPa. The decision for the extension of the contract with the manufacturer depends on the engineer. Test the hypothesis whether or not there is no significant difference between the two means using a two-tailed test with α = 0.01. What are the appropriate hypotheses for the two-tailed test? What is the test statistic to be used and the reasons for its selection? What is the critical value c? What is the value of the test statistic or the computed value? Formulate a conclusion about the given situation. Oil wells in a large field produce an average of 33.5 barrels per day. Fifteen randomly selected oil wells produce an average of 30 barrels of crude oil per day with a standard deviation of 3.5 barrels. Is there enough evidence to conclude that the oil wells are not producing an average of 33.5 barrels of crude oil per day. Test at α = 0.01. Use a two-tailed test.

hypothesis testing The mean water consumption of households living in Christine Subdivision is 33.5 cubic meters per month. A random sample of 40 households in the same place has a mean water consumption of 30 cubic meters per month with a standard deviation of 8 cubic meters. Formulate an appropriate null and alternative hypothesis. What is the probability of committing a Type I error? Can we conclude that the mean consumption is not 33 cubic meters per month with a confidence level of 95%? Use a one-tailed test. Using the z table, find the critical value (or values) for each = 0.05, two-tailed test = 0.01, left-tailed test = 0.01, right-tailed test = 0.10, two-tailed test = 0.10, right-tailed test Find the critical value (or values) for the t test for each. . n = 10, = 0.05, right-tailed test n = 18, = 0.10, two-tailed n = 6, = 0.01, left-tailed n = 9, = 0.025, right-tailed n = 15, = 0.05, two-tailed In building an arena, steel bars with a mean ultimate tensile strength of 400 Megapascal (MPa) with a variance of 81 MPa were delivered by the manufacturer. The project engineer tested 50 steel bars and found out that the mean ultimate tensile strength is 390 MPa. The decision for the extension of the contract with the manufacturer depends on the engineer. Test the hypothesis whether or not there is no significant difference between the two means using a two-tailed test with α = 0.01. What are the appropriate hypotheses for the two-tailed test? What is the test statistic to be used and the reasons for its selection? What is the critical value c? What is the value of the test statistic or the computed value? Formulate a conclusion about the given situation. Oil wells in a large field produce an average of 33.5 barrels per day. Fifteen randomly selected oil wells produce an average of 30 barrels of crude oil per day with a standard deviation of 3.5 barrels. Is there enough evidence to conclude that the oil wells are not producing an average of 33.5 barrels of crude oil per day. Test at α = 0.01. Use a two-tailed test.

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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hypothesis testing

The mean water consumption of households living in Christine Subdivision is 33.5 cubic meters per month. A random sample of 40 households in the same place has a mean water consumption of 30 cubic meters per month with a standard deviation of 8 cubic meters. Formulate an appropriate null and alternative hypothesis. What is the probability of committing a Type I error? Can we conclude that the mean consumption is not 33 cubic meters per month with a confidence level of 95%? Use a one-tailed test.

Using the z table, find the critical value (or values) for each

= 0.05, two-tailed test
= 0.01, left-tailed test
= 0.01, right-tailed test
= 0.10, two-tailed test
= 0.10, right-tailed test

Find the critical value (or values) for the t test for each.

. n = 10, = 0.05, right-tailed test
n = 18, = 0.10, two-tailed
n = 6, = 0.01, left-tailed
n = 9, = 0.025, right-tailed
n = 15, = 0.05, two-tailed

In building an arena, steel bars with a mean ultimate tensile strength of 400 Megapascal (MPa) with a variance of 81 MPa were delivered by the manufacturer. The project engineer tested 50 steel bars and found out that the mean ultimate tensile strength is 390 MPa. The decision for the extension of the contract with the manufacturer depends on the engineer. Test the hypothesis whether or not there is no significant difference between the two means using a two-tailed test with α = 0.01.

What are the appropriate hypotheses for the two-tailed test?
What is the test statistic to be used and the reasons for its selection?
What is the critical value c?
What is the value of the test statistic or the computed value?
Formulate a conclusion about the given situation.

Oil wells in a large field produce an average of 33.5 barrels per day. Fifteen randomly selected oil wells produce an average of 30 barrels of crude oil per day with a standard deviation of 3.5 barrels. Is there enough evidence to conclude that the oil wells are not producing an average of 33.5 barrels of crude oil per day. Test at α = 0.01. Use a two-tailed 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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