Suppose a study reported that the average person watched 1.87 hours of television per day. Arandom sample of 15 people gave the number of hours of television watched per day shown.At the 5% significance level, do the data provide sufficient evidence to conclude that theamount of television watched per day last year by the average person differed from the valuereported in the study? (Note: x= 3.033 hours and s= 1.337 hours.)Hoi"H₂: HThe test statistic is t =(Round to two decimal places as needed.)Identify the critical value(s). Select the correct choice below and fill in the answer box within your choice.(Round to three decimal places as needed.)OA. The critical value is - ta =-0.OB. The critical value is to =OC. The critical values are ±t/2 = ±the null hypothesis. The datatelevision watched by the average person is2.23.43.42.5 2.32.16.2 2.6 1.92.2 2.82.5 4.01.75.7sufficient evidence to conclude that the amount ofthe value reported in the study.E

Consider that μ is the population mean amount of television watched by the average person per day.

Answered: Suppose a study reported that the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Before the furniture store began its ad campaign, it averaged 182 customers per day. The manager is investigating if the average has changed since the ad came out. The data for the 11 randomly selected days since the ad campaign began is shown below: 194, 170, 172, 180, 151, 169, 179, 181, 167, 170, 194 Assuming that the distribution is normal, what can be concluded at the a = 0.01 level of significance? %3D a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Но: ? v Select an answer v H1: ? v Select an answer ♥ c. The test statistic ? v (please show your answer to 3 decimal places.) %3D d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? va f. Based on this, we should Select an answer g. Thus, the final conclusion is that ... the null hypothesis. O The data suggest that the population mean number of customers since the ad campaign began is not significantly different from 182 at a = 0.01, so there is…
The data in Table 7..7 are collected in an experiment designed to investigate the impact of different positions of the mother during ultrasound on fetal heart rate. Fetal heart rate is measured by ultrasound in beats per minute. The study includes 20 women who are each assigned to one position and have the fetal heart rate measured in that position. Each woman is between 28 weeks, and 32 weeks, gestation. Is there a significant difference in mean fetal heart rates by position? Run the test at a 5% level of significance. PLEASE SHOW THE ANSWER IN EXCEL FORMAT WITH FORMULAS.
2. Metal Tags on Penguins and Survival. Data were collected over a 10-year timespan from a sample of 100 penguins that were randomly given either metal or electronic tags. One variable examined is the survival rate 10 years after tagging. The scientists observed that 10 of the 50 metal tagged penguins survived, compared to 18 of the 50 electronic tagged penguins. Test whether the survival rate is lower among metal- tagged penguins than among electronic-tagged penguins. Use subscripts E for Electronic and M for Metal. a. State hypotheses. b. Calculate the sample statistic PE - PM c. Use Normal distribution methods to calculate a z-test statistic, given SE = 0.0898. d. Find the p-value and draw a Normal curve with z-statistic and appropriate shaded region. Normal curve: p-value: e. State the conclusion of the test in context, using nontechnical language. f. Find a 90% confidence interval to three decimal places for this difference in proportions, given SE= 0.08836. Show your…
The mean number of sick days an employee takes per year is believed to be about 10. Members of a personnel department do not believe this figure. They randomly survey &8 employees. The number of sick days they took for the past year are as follows: 12; 6; 15; 3; 10; 8; 8; 8. Let X= the number of sick days they took for the past year. Should the personnel team believe that the mean number is about 10? Conduct a hypothesis test at the 5% level. What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using the t distribution round your answers to three decimal places.) What is the p-value? (Round your answer to four decimal places.) Construct a 95% confidence interval for the true mean. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your answers to three decimal places.)
3. In a bar graph of qualitative data, the highest bar always corresponds to that data's А. Мean В. Median С. Мode D. Range E. Variance 4. If the data is skewed right, which of the following would you expect to be true? A. Mean > Median B. Mean < Median C. Mean = Median
3. A study in Men's Health magazine stated that 14% of men said they used exercise to reduce stress. Use a = 0.10. A random sample of 100 men was selected and 10 said they used exercise. Does the sample support the claim made by the magazine?
Past records suggest that the mean annual income, µ,, of teachers in state of New York is less than or equal to the mean annual income, µ,, of teachers in Illinois. In a current study, a random sample of 15 teachers from New York and an independent random sample of 15 teachers from Illinois have been asked to report their mean annual income. The data obtained are as follows: Annual income in dollars New York 46406, 43039, 47083, 47056, 46810, 47074, 43524, 59524, 49763, 48083, 46100, 53904, 43171, 44341, 52229 Illinois 53010, 43485, 39037, 47622, 47151, 50372, 41401, 35007, 40591, 49268, 44782, 39668, 52555, 49976, 49207 The population standard deviation for mean annual income of teachers in New York and in Illinois are estimated as 6600 and 6200, respectively. It is also known that both populations are approximately normally distributed. At the 0.01 level of significance, is there sufficient evidence to reject the claim that the mean annual income of teachers in state of New York is…
A sample of 250 employees of a company is selected, and the average age is found to be 35 years. This value is a statistic or parameter.
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C, D, G
Refer to the data presented in Exercise 2.86. Note that there were 50% more accidents in the 25 to less than 30 age group than in the 20 to less than 25 age group. Does this suggest that the older group of drivers in this city is more accident- prone than the younger group? What other explanation might account for the difference in accident rates?
The mean number of sick days an employee takes per year is believed to be about 10.5. Members of a personnel department do not believe this figure. They randomly survey ten employees. The number of sick days they took for the past year are as follows: 12; 4; 15; 3; 11; 8; 6; 8; 2; 9. Let x = the number of sick days they took for the past year. Should the personnel team believe that the mean number is ten?

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