he commercial for the new Meat Man Barbecue claims that it takes 18 minutes for assembly. A consumer advocate thinks that the assembly time is higher than 18 minutes. The advocate surveyed 14 randomly selected people who purchased the Meat Man Barbecue and found that their average time was 19 minutes. The standard deviation for this survey group was 2.3 minutes. What can be concluded at the the αα = 0.01 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 higher than 18 at αα = 0.01, so there is statistically significant evidence to conclude that the population mean amount of time to assemble the Meat Man barbecue is higher than 18. The data suggest that the population mean amount of time to assemble the Meat Man barbecue is not significantly higher than 18 at αα = 0.01, so there is statistically insignificant evidence to conclude that the population mean amount of time to assemble the Meat Man barbecue is higher than 18. The data suggest the population mean is not significantly higher than 18 at αα = 0.01, so there is statistically insignificant evidence to conclude that the population mean amount of time to assemble the Meat Man barbecue is equal to 18.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 8SGR

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The commercial for the new Meat Man Barbecue claims that it takes 18 minutes for assembly. A consumer advocate thinks that the assembly time is higher than 18 minutes. The advocate surveyed 14 randomly selected people who purchased the Meat Man Barbecue and found that their average time was 19 minutes. The standard deviation for this survey group was 2.3 minutes. What can be concluded at the the αα = 0.01 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 higher than 18 at αα = 0.01, so there is statistically significant evidence to conclude that the population mean amount of time to assemble the Meat Man barbecue is higher than 18.
- The data suggest that the population mean amount of time to assemble the Meat Man barbecue is not significantly higher than 18 at αα = 0.01, so there is statistically insignificant evidence to conclude that the population mean amount of time to assemble the Meat Man barbecue is higher than 18.
- The data suggest the population mean is not significantly higher than 18 at αα = 0.01, so there is statistically insignificant evidence to conclude that the population mean amount of time to assemble the Meat Man barbecue is equal to 18.

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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