The table below lists leading digits of 317 inter-arrival Internet traffic times for a computer, along with the frequencies of leading digits expected with Benford's law. When using these data to test for goodness-of-fit with the distribution described by Benford's law, identify the null and alternative hypotheses. Choose the correct answer below (in caption)

The table below lists leading digits of 317 inter-arrival Internet traffic times for a computer, along with the frequencies of leading digits expected with Benford's law. When using these data to test for goodness-of-fit with the distribution described by Benford's law, identify the null and alternative hypotheses. Choose the correct answer below (in caption)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 1% level of significance. Give answer to at least 4 decimal places. Hours 50 46 55 52 45 66 58 60 46 46 52 53 What are the correct hypotheses? H0: hoursH1: hours Based on the hypotheses, find the following:Test Statistic=p-value= The correct decision is to . The correct summary would be: that the mean number of hours of all employees at start-up companies work more than the US mean of 47 hours.
It currently takes users a mean of 26 minutes to install the most popular computer program made by RodeTech, a software design company. After changes have been made to the program, the company executives want to know if the new mean is now different from 26 minutes so that they can change their advertising accordingly. A simple random sample of 51 new customers are asked to time how long it takes for them to install the software. The sample mean is 24.9 minutes with a standard deviation of 2.7 minutes. Perform a hypothesis test at the 0.025 level of significance to see if the mean installation time has changed. Step 3 of 3 : Draw a conclusion and interpret the decision.
There are 24 students enrolled in an introductory statistics class at a small university. As an in-class exercise the students were asked how many hours of television they watch each week. The nm = 13 male students watched an average of 6 hours of television per week with standard deviation 4.24 hours. The ng = 11 female students watched an average of 3.91 hours of television per week with a standard deviation of 3.48 hours. Assume that the students enrolled in the statistics class are representative of all students at the university. The standard error of the differences , and x, is about SE = 1.667. Use the normal distribution to test, at the 5% level, if male students at this university watch, on average, more television than female students. Include all details of the test. z = i p-value = i There is evidence that males at this university watch significantly more television, on average, than female students.
It currently takes users a mean of 12 minutes to install the most popular computer program made by RodeTech, a software design company. After changes have been made to the program, the company executives want to know if the new mean is now different from 12 minutes so that they can change their advertising accordingly. A simple random sample of 91 new customers are asked to time how long it takes for them to install the software. The sample mean is 11.7 minutes with a standard deviation of 1.6 minutes. Perform a hypothesis test at the 0.05 level of significance to see if the mean installation time has changed. Step 2 of 3 :   Compute the value of the test statistic. Round your answer to three decimal places.
The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 5% level of significance. Give answer to at least 4 decimal places. Hours 46 49 58 55 49 68 45 48 46 45 51 50 What are the correct hypotheses? H0:                    hoursH1:                    hours Based on the hypotheses, find the following:Test Statistic=p-value= The correct decision is to       . The correct summary would be:       that the mean number of hours of all employees at start-up companies work more than the US mean of 47 hours.
The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 10% level of significance. Give answer to at least 4 decimal places. Hours 49 40 58 52 49 70 49 59 47 49 53 55 What are the correct hypotheses? H0:                    hoursH1:                    hours Based on the hypotheses, find the following:Test Statistic=p-value= The correct decision is to       . The correct summary would be:       that the mean number of hours of all employees at start-up companies work more than the US mean of 47 hours.
The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 1% level of significance. Give answer to at least 4 decimal places. Hours 45 50 60 50 48 61 54 49 50 48 55 50 (a) Determine the null and alternative hypotheses? Họ: Select an answer v hours H1: Select an answer hours (b) Determine the test statistic ? (c) Determine the p-value. p-value = (d) Make a decision. O Accept the alternative hypotheis Accept the null hypothesis Do not reject the null hypothesis O Reject the null hypothesis
The reference group is middle gait speed. The authors give the CI for the odds ratio for fast gait speed as (0.12, 165.56). Although this interval contains 1, the authors conclude that "persons with fast gait speed also appeared to have an elevated risk of serious injury." Why do you think the authors came to this conclusion?
An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and 181 lb. The new population of pilots has normally distributed weights with a mean of 137 lb and a standard deviation of 34.8 lb. if 35 different pilot are randomly selected find the probability that their mean weight is between 130 lb and 181 lb
20 representative students were selected from each of 5 schools intermediate level. The 100 selected students presented themselves to a Math Quiz. A researcher wants to prove that the averages Mathematics performance is not the same in the five schools. I know analyzed the data mediated by ANOVA. Sources / degrees of freedom / sum of squares / squares media / Fcalculated / pvalue Between groups - 2000 Within groups - 9500 Complete the table to answer: 1) The mean square between groups is: 2) The mean square within groups is: 3). The test calculation is: 4) The value is: 5. Conclusion:
It currently takes users a mean of 26 minutes to install the most popular computer program made by RodeTech, a software design company. After changes have been made to the program, the company executives want to know if the new mean is now different from 26 minutes so that they can change their advertising accordingly. A simple random sample of 37 new customers are asked to time how long it takes for them to install the software. The sample mean is 27.9 minutes with a standard deviation of 7.7 minutes. Perform a hypothesis test at the 0.05 level of significance to see if the mean installation time has changed. Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.
The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 10% level of significance. Give answer to at least 4 decimal places. Hours 48 43 58 51 45 62 47 55 49 49 52 53 a. What are the correct hypotheses? Ho: Select an answer H₁: Select an answer b. Test Statistic = Based on the hypotheses, find the following: c. p-value = ? 0 ? 0 d. The correct decision is to Select an answer Add Work hours hours e. The correct summary would be: Select an answer hours of all employees at start-up companies work more than the US mean of 47 hours. that the mean number of