The average number of accidents at controlled intersections per year is 5.8. Is this average less for intersections with cameras installed? The 64 randomly observed intersections with cameras installed had an average of 5.4 accidents per year and the standard deviation was 1.75. What can be concluded at the αα = 0.01 level of significance? For this study, we should use Select an answer z-test for a population proportion t-test for a population mean The null and alternative hypotheses would be: H0:H0: ? p μ Select an answer < > ≠ = H1:H1: ? μ p 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 accept fail to reject reject the null hypothesis. Thus, the final conclusion is that ... The data suggest that the population mean is not significantly less than 5.8 at αα = 0.01, so there is statistically insignificant evidence to conclude that the population mean number of accidents per year at intersections with cameras installed is less than 5.8 accidents. The data suggest that the populaton mean is significantly less than 5.8 at αα = 0.01, so there is statistically significant evidence to conclude that the population mean number of accidents per year at intersections with cameras installed is less than 5.8 accidents. The data suggest that the sample mean is not significantly less than 5.8 at αα = 0.01, so there is statistically insignificant evidence to conclude that the sample mean number of accidents per year at intersections with cameras installed is less than 5.4 accidents. Interpret the p-value in the context of the study. There is a 3.60991755% chance of a Type I error. If the population mean number of accidents per year at intersections with cameras installed is 5.8 and if another 64 intersections with cameras installed are observed then there would be a 3.60991755% chance that the sample mean for these 64 intersections with cameras installed would be less than 5.4. There is a 3.60991755% chance that the population mean number of accidents per year at intersections with cameras installed is less than 5.8. If the population mean number of accidents per year at intersections with cameras installed is 5.8 and if another 64 intersections with cameras installed are observed then there would be a 3.60991755% chance that the population mean number of accidents per year at intersections with cameras installed would be less than 5.8. Interpret the level of significance in the context of the study. If the population population mean number of accidents per year at intersections with cameras installed is less than 5.8 and if another 64 intersections with cameras installed are observed then there would be a 1% chance that we would end up falsely concluding that the population mean number of accidents per year at intersections with cameras installed is equal to 5.8. There is a 1% chance that you will get in a car accident, so please wear a seat belt. There is a 1% chance that the population mean number of accidents per year at intersections with cameras installed is less than 5.8. If the population mean number of accidents per year at intersections with cameras installed is 5.8 and if another 64 intersections with cameras installed are observed then there would be a 1% chance that we would end up falsely concluding that the population mean number of accidents per year at intersections with cameras installed is less than 5.8.

The average number of accidents at controlled intersections per year is 5.8. Is this average less for intersections with cameras installed? The 64 randomly observed intersections with cameras installed had an average of 5.4 accidents per year and the standard deviation was 1.75. What can be concluded at the αα = 0.01 level of significance? For this study, we should use Select an answer z-test for a population proportion t-test for a population mean The null and alternative hypotheses would be: H0:H0: ? p μ Select an answer < > ≠ = H1:H1: ? μ p 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 accept fail to reject reject the null hypothesis. Thus, the final conclusion is that ... The data suggest that the population mean is not significantly less than 5.8 at αα = 0.01, so there is statistically insignificant evidence to conclude that the population mean number of accidents per year at intersections with cameras installed is less than 5.8 accidents. The data suggest that the populaton mean is significantly less than 5.8 at αα = 0.01, so there is statistically significant evidence to conclude that the population mean number of accidents per year at intersections with cameras installed is less than 5.8 accidents. The data suggest that the sample mean is not significantly less than 5.8 at αα = 0.01, so there is statistically insignificant evidence to conclude that the sample mean number of accidents per year at intersections with cameras installed is less than 5.4 accidents. Interpret the p-value in the context of the study. There is a 3.60991755% chance of a Type I error. If the population mean number of accidents per year at intersections with cameras installed is 5.8 and if another 64 intersections with cameras installed are observed then there would be a 3.60991755% chance that the sample mean for these 64 intersections with cameras installed would be less than 5.4. There is a 3.60991755% chance that the population mean number of accidents per year at intersections with cameras installed is less than 5.8. If the population mean number of accidents per year at intersections with cameras installed is 5.8 and if another 64 intersections with cameras installed are observed then there would be a 3.60991755% chance that the population mean number of accidents per year at intersections with cameras installed would be less than 5.8. Interpret the level of significance in the context of the study. If the population population mean number of accidents per year at intersections with cameras installed is less than 5.8 and if another 64 intersections with cameras installed are observed then there would be a 1% chance that we would end up falsely concluding that the population mean number of accidents per year at intersections with cameras installed is equal to 5.8. There is a 1% chance that you will get in a car accident, so please wear a seat belt. There is a 1% chance that the population mean number of accidents per year at intersections with cameras installed is less than 5.8. If the population mean number of accidents per year at intersections with cameras installed is 5.8 and if another 64 intersections with cameras installed are observed then there would be a 1% chance that we would end up falsely concluding that the population mean number of accidents per year at intersections with cameras installed is less than 5.8.

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Description: The average number of accidents at controlled intersections per year is 5.8. Is this average less for intersections with cameras installed? The 64 randomly observed intersections with cameras installed had an average of 5.4 accidents per year and th

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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

H0:H0: ? p μ Select an answer < > ≠ =

H1:H1: ? μ p 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 accept fail to reject reject the null hypothesis.
Thus, the final conclusion is that ...
- The data suggest that the population mean is not significantly less than 5.8 at αα = 0.01, so there is statistically insignificant evidence to conclude that the population mean number of accidents per year at intersections with cameras installed is less than 5.8 accidents.
- The data suggest that the populaton mean is significantly less than 5.8 at αα = 0.01, so there is statistically significant evidence to conclude that the population mean number of accidents per year at intersections with cameras installed is less than 5.8 accidents.
- The data suggest that the sample mean is not significantly less than 5.8 at αα = 0.01, so there is statistically insignificant evidence to conclude that the sample mean number of accidents per year at intersections with cameras installed is less than 5.4 accidents.
Interpret the p-value in the context of the study.
- There is a 3.60991755% chance of a Type I error.
- If the population mean number of accidents per year at intersections with cameras installed is 5.8 and if another 64 intersections with cameras installed are observed then there would be a 3.60991755% chance that the sample mean for these 64 intersections with cameras installed would be less than 5.4.
- There is a 3.60991755% chance that the population mean number of accidents per year at intersections with cameras installed is less than 5.8.
- If the population mean number of accidents per year at intersections with cameras installed is 5.8 and if another 64 intersections with cameras installed are observed then there would be a 3.60991755% chance that the population mean number of accidents per year at intersections with cameras installed would be less than 5.8.
Interpret the level of significance in the context of the study.
- If the population population mean number of accidents per year at intersections with cameras installed is less than 5.8 and if another 64 intersections with cameras installed are observed then there would be a 1% chance that we would end up falsely concluding that the population mean number of accidents per year at intersections with cameras installed is equal to 5.8.
- There is a 1% chance that you will get in a car accident, so please wear a seat belt.
- There is a 1% chance that the population mean number of accidents per year at intersections with cameras installed is less than 5.8.
- If the population mean number of accidents per year at intersections with cameras installed is 5.8 and if another 64 intersections with cameras installed are observed then there would be a 1% chance that we would end up falsely concluding that the population mean number of accidents per year at intersections with cameras installed is less than 5.8.

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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