The average wait time to get seated at a popular restaurant in the city on a Friday night is 14 minutes. Is the mean wait time greater 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.16, 15, 12, 13, 16, 15, 16, 16, 16, 15, 15What can be concluded at the the αα = 0.10 level of significance level of significance?For this study, we should use The null and alternative hypotheses would be: H0:H0: H1:H1: The test statistic = (please show your answer to 3 decimal places.)The p-value = (Please show your answer to 4 decimal places.)The p-value is ααBased on this, we should the null hypothesis.Thus, the final conclusion is that ...The data suggest the populaton mean is significantly more than 14 at αα = 0.10, so there is statistically significant evidence to conclude that the population mean wait time for men who wear a tie is more than 14.The data suggest that the population mean wait time for men who wear a tie is not significantly more than 14 at αα = 0.10, so there is statistically insignificant evidence to conclude that the population mean wait time for men who wear a tie is more than 14.The data suggest the population mean is not significantly more than 14 at αα = 0.10, so there is statistically insignificant evidence to conclude that the population mean wait time for men who wear a tie is equal to 14.

From the given sample data : n=11 , ƩX=165 , ƩX2=2493 The sample size is , n=11 The sample mean is…

Answered: What can be concluded at the the αα =…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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The average wait time to get seated at a popular restaurant in the city on a Friday night is 14 minutes. Is the mean wait time greater 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.

16, 15, 12, 13, 16, 15, 16, 16, 16, 15, 15

What can be concluded at the the αα = 0.10 level of significance level of significance?

For this study, we should use
The null and alternative hypotheses would be:

H0:H0:

H1:H1:

The test statistic = (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 the null hypothesis.
Thus, the final conclusion is that ...
- The data suggest the populaton mean is significantly more than 14 at αα = 0.10, so there is statistically significant evidence to conclude that the population mean wait time for men who wear a tie is more than 14.
- The data suggest that the population mean wait time for men who wear a tie is not significantly more than 14 at αα = 0.10, so there is statistically insignificant evidence to conclude that the population mean wait time for men who wear a tie is more than 14.
- The data suggest the population mean is not significantly more than 14 at αα = 0.10, so there is statistically insignificant evidence to conclude that the population mean wait time for men who wear a tie is equal to 14.

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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