The average wait time to get seated at a popular restaurant in the city on a Friday night is 7 minutes. Is the mean wait time different for men who wear a tie? Wait times for 11 randomly selected men who were wearing a tie are shown below. Assume that the distribution of the population is normal. 5, 6, 5, 8, 5, 9, 9, 7, 5, 6, 8 What can be concluded at the the αα = 0.01 level of significance level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion The null and alternative hypotheses would be: H0:H0: ? μ p Select an answer > ≠ < = H1:H1: ? p μ Select an answer > < ≠ = The test statistic ? t z = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? > ≤ αα Based on this, we should Select an answer reject accept fail to reject the null hypothesis. Thus, the final conclusion is that ... The data suggest that the population mean wait time for men who wear a tie is not significantly different from 7 at αα = 0.01, so there is statistically insignificant evidence to conclude that the population mean wait time for men who wear a tie is different from 7. The data suggest the population mean is not significantly different from 7 at αα = 0.01, so there is statistically insignificant evidence to conclude that the population mean wait time for men who wear a tie is equal to 7. The data suggest the populaton mean is significantly different from 7 at αα = 0.01, so there is statistically significant evidence to conclude that the population mean wait time for men who wear a tie is different from 7.

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Description: The average wait time to get seated at a popular restaurant in the city on a Friday night is 7 minutes. Is the mean wait time different for men who wear a tie? Wait times for 11 randomly selected men who were wearing a tie are shown below. Assume th

MATLAB: An Introduction with Applications

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Author:Amos Gilat

Publisher:Amos Gilat

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The average wait time to get seated at a popular restaurant in the city on a Friday night is 7 minutes. Is the mean wait time different for men who wear a tie? Wait times for 11 randomly selected men who were wearing a tie are shown below. Assume that the distribution of the population is normal.

5, 6, 5, 8, 5, 9, 9, 7, 5, 6, 8

What can be concluded at the the αα = 0.01 level of significance level of significance?

For this study, we should use Select an answer t-test for a population mean z-test for a population proportion
The null and alternative hypotheses would be:

H0:H0: ? μ p Select an answer > ≠ < =

H1:H1: ? p μ Select an answer > < ≠ =

The test statistic ? t z = (please show your answer to 3 decimal places.)
The p-value = (Please show your answer to 4 decimal places.)
The p-value is ? > ≤ αα
Based on this, we should Select an answer reject accept fail to reject the null hypothesis.
Thus, the final conclusion is that ...
- The data suggest that the population mean wait time for men who wear a tie is not significantly different from 7 at αα = 0.01, so there is statistically insignificant evidence to conclude that the population mean wait time for men who wear a tie is different from 7.
- The data suggest the population mean is not significantly different from 7 at αα = 0.01, so there is statistically insignificant evidence to conclude that the population mean wait time for men who wear a tie is equal to 7.
- The data suggest the populaton mean is significantly different from 7 at αα = 0.01, so there is statistically significant evidence to conclude that the population mean wait time for men who wear a tie is different from 7.

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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