Consider the following hypothesis test: H0: ? ≥ 19 Ha: ? < 19 A sample of 49 provides a sample mean of 18 and a sample standard deviation of 4. (a) Determine the standard error of the mean. (Round your answer to five decimal places.) (b) Compute the value of the test statistic. (Round your answer to three decimal places.) (c) Determine the p-value; and using ? = 0.05, test the above hypotheses. Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject H0. There is sufficient evidence to conclude ? is less than 19.Reject H0. There is sufficient evidence to conclude ? is less than 19. Reject H0. There is insufficient evidence to conclude ? is less than 19.Do not reject H0. There is insufficient evidence to conclude ? is less than 19.
Consider the following hypothesis test: H0: ? ≥ 19 Ha: ? < 19 A sample of 49 provides a sample mean of 18 and a sample standard deviation of 4. (a) Determine the standard error of the mean. (Round your answer to five decimal places.) (b) Compute the value of the test statistic. (Round your answer to three decimal places.) (c) Determine the p-value; and using ? = 0.05, test the above hypotheses. Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject H0. There is sufficient evidence to conclude ? is less than 19.Reject H0. There is sufficient evidence to conclude ? is less than 19. Reject H0. There is insufficient evidence to conclude ? is less than 19.Do not reject H0. There is insufficient evidence to conclude ? is less than 19.
Consider the following hypothesis test: H0: ? ≥ 19 Ha: ? < 19 A sample of 49 provides a sample mean of 18 and a sample standard deviation of 4. (a) Determine the standard error of the mean. (Round your answer to five decimal places.) (b) Compute the value of the test statistic. (Round your answer to three decimal places.) (c) Determine the p-value; and using ? = 0.05, test the above hypotheses. Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject H0. There is sufficient evidence to conclude ? is less than 19.Reject H0. There is sufficient evidence to conclude ? is less than 19. Reject H0. There is insufficient evidence to conclude ? is less than 19.Do not reject H0. There is insufficient evidence to conclude ? is less than 19.
A sample of 49 provides a sample mean of 18 and a sample standard deviation of 4.
(a)
Determine the standard error of the mean. (Round your answer to five decimal places.)
(b)
Compute the value of the test statistic. (Round your answer to three decimal places.)
(c)
Determine the p-value; and using ? = 0.05, test the above hypotheses.
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
Do not reject H0. There is sufficient evidence to conclude ? is less than 19.Reject H0. There is sufficient evidence to conclude ? is less than 19. Reject H0. There is insufficient evidence to conclude ? is less than 19.Do not reject H0. There is insufficient evidence to conclude ? is less than 19.
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 + ...
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
