Listed below are speeds (mi/h) measured from traffic on a busy highway. This simple random sample was obtained at 3:30 P.M. on a weekday. Use the sample data to construct a 90% confidence interval estimate of the population standard deviation. 65 63 63 55 63 52 60 59 60 69 62 67 O Area to the right of the critical value Click the icon to view the table of Chi-Square critical values. Degrees of Frdom Degrw of redom 0.99 0.0 The confidence interval estimate is mi/h

Listed below are speeds (mi/h) measured from traffic on a busy highway. This simple random sample was obtained at 3:30 P.M. on a weekday. Use the sample data to construct a 90% confidence interval estimate of the population standard deviation. 65 63 63 55 63 52 60 59 60 69 62 67 O Area to the right of the critical value Click the icon to view the table of Chi-Square critical values. Degrees of Frdom Degrw of redom 0.99 0.0 The confidence interval estimate is mi/h

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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Traffic Highway planners investigated the relationshipbetween traffic Density (number of automobiles per mile)and the average Speed of the traffic on a moderately largecity thoroughfare. The data were collected at the samelocation at 10 different times over a span of 3 months.They found a mean traffic Density of 68.6 cars per mile(cpm) with standard deviation of 27.07 cpm. Overall, the cars’ average Speed was 26.38 mph, with standard devia-tion of 9.68 mph. These researchers found the regression line for these data to be Speed = 50.55 - 0.352 Density.a) What is the value of the correlation coefficientbetween Speed and Density?b) What percent of the variation in average Speed isexplained by traffic Density? c) Predict the average Speed of traffic on the thorough-fare when the traffic Density is 50 cpm. d) What is the value of the residual for a traffic Densityof 56 cpm with an observed Speed of 32.5 mph?e) The data set initially included the point Density =125 cpm, Speed = 55 mph. This…
The numbers of successes and the sample sizes for independent simple random samples from two populations are provided for a right-tailed test. Use a 90% confidence interval. Complete parts (a) through (d). X1 = 23, n, = 90, x2 = 18, n2 = 100, a = 0.05 Click here to view Click here to view table of areas under the standard normal curve for negative values of z. table of areas under the standard normal curve for positive values of z. a. Determine the sample proportions. Determine the sample proportion p P, = (Round to three decimal places as needed.)
Use the 1odwing Wildlife: Coyotes A random sample of 46 adult coyotes in a region of northern Minnesota showed the average age to be z = 2.05 years, with sample standard deviation 8 = 0.82 years (based on information from the book Coyotes: Biology, Behavior and Management by M. Bekoff, Academic Press). However, it is thought that the overall population mean age of coyotes is µ=1.75. Do the sample data indicate that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years? Use a = 0.01. Fl in the blanks a 007 • Ho u- 175 years * H u> 176 yean QUESTION 7 What is your test statistic? (t-statistic) 2.48 QUESTION 8 What is your p-value? (Hint You will need the degrees of freedom to find the p-value.) <0.01d QUESTION 9 Do you reject the null hypothesis? O Yes No
A consumer group claims that the average annual consumption of high fructose corn syrup by a person in the U.S. is 48.8 pounds. You believe it is higher. You take a simple random sample of 31 people in the U.S. and find an average of 53.3 pounds with a standard deviation of 5.2 pounds. Test at 5% significance.Round to the fourthH0: HA: Test Statistic: P-value: Did something significant happen? Select the Decision Rule: There enough evidence to conclude
Does the average Presbyterian donate less than the average Catholic in church on Sundays? The 58 randomly observed members of the Presbyterian church donated an average of $24 with a standard deviation of $15. The 42 randomly observed members of the Catholic church donated an average of $31 with a standard deviation of $7. What can be concluded at the αα = 0.10 level of significance? For this study, we should use Select an answer t-test for the difference between two dependent population means z-test for a population proportion t-test for a population mean t-test for the difference between two independent population means z-test for the difference between two population proportions The null and alternative hypotheses would be: H0:H0: Select an answer p1 μ1 Select an answer ≠ > = < Select an answer p2 μ2 (please enter a decimal) H1:H1: Select an answer p1 μ1 Select an answer < = ≠ > Select an answer p2 μ2 (Please enter a decimal) The test statistic ?…
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The Ford car company is interested to know what is fuel consumption rate of its vehicles A large data set, collected in this study, shows that in average cars 11.7 liters per 100 km distance covered. The standard deviation of this value is 1.3 km per 100 km. Assuming that the histogram of this data set is normal, what percent of cars consume between between 10.5 to 11.9 liter of fuel?
Listed below are speeds (mi/h) measured from traffic on a busy highway. This simple random sample was obtained at 3:30 P.M. on a weekday. Use the sample data to construct a 98% confidence interval estimate of the population standard deviation. 60 64 64 57 64 54 59 58 59 69 62 68 D Click the icon to view the table of Chi-Square critical values. The confidence interval estimate is 2.99 mi/h<< 8.51 mi/h. (Round to one decimal place as needed.) C
A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with u = 518. The teacher obtaips a random sample of 2200 students, puts them through the review class, and finds that the mean math score of the 2200 students is 525 with a standard deviation of 113. Complete parts (a) through (d) below. (a) State the null and alternative hypotheses. Ho: H 518, H: H 518 (b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 525 statistically significantly higher than 518? Conduct a hypothesis test using the P-value approach. Find the test statistic. (Round to two decimal places as needed.)
A random sample of 50 gas stations in Cook County, Illinois, resulted in a mean price per gallon of $2.60 and a standard deviation of $0.07. State the Empirical Rule. A histogram of the data indicates that the data follow a bell-shaped distribution. Use the Empirical Rule to determine the percentage of gas stations that have prices within three standard deviations of the mean. Determine the percentage of gas stations that have prices between $2.46 and $2.74, according to the Empirical Rule. Explain your calculations. Would a gas price of $2.99 be considered unusual in the statistical sense? Why or why not?
As part of your work for an environmental group, you want to see if the mean amount of waste generated per adult in your community is less than the national average of 5 pounds per day. You take a simple random sample of 25 adults in your community and find that they average 4.8 pounds with a standard deviation of 1.4 pounds. Suppose you know the amount of waste generated per day follows a normal distribution. Test at .01