2) A researcher used a developed problem-solving test to randomly select 50 Grade 6 pupils wherein X = 80 and s = 10. The mean ji and the standard deviation of the population used in the standardization of the test were 75 and 15, respectively. Use the 95% confidence level to answer.
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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…A study of 40 English professors showed that they spend, on average, 12.6 minutes correcting a student's term paper. The standard deviation was 2.5 minutes. Construct the 99% confidence interval of the mean for all term papers.A sample of 106 body temperatures was taken and the mean was 98.2 degrees F. The population standard deviation is 0.62 degrees. Use a 0.05 level of significance to test the claim that the average body temperature is actually different than 98.6 degrees F. Find the 95% confidence interval of the mean temperature and compare your results.
- Suppose that a garage samples 21 customers. They find the average time for there oil change is 4,305 miles. Find a 90% confidence interval of the true mean, if the population standard deviation is 1,151.For a wide sense stationary process: Select one: O a. the covariance is constant O b. all of these O c. the expected value is constantSuppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of measurements yield x= 100.1, y = 98.3, r=0.961, P-value = 0.000, and y = - 18.02 + 1.16x, where x represents the IQ score of the wife. Find the best predicted value of y given that the wife has an IQ of 100? Use a significance level of 0.05. Click the icon to view the critical values of the Pearson correlation coefficient r. The best predicted value of y is (Round to two decimal places as needed.)
- Please help with 1 a,b,c,d,e, and f.The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 31 hours and the median is 27.2hours. Twenty-four of the families in the sample turned on the television for 16 hours or less for the week. The 8th percentile of the data is 16 hours. Based on the given information, determine if the following statement is true or false. The first quartile is less than 16 hours.The average speed of 64 random cars traveling on a certain highway was 80 km/h and the sample standard deviation was 20 km/h. What is the margin of error with a 98% level of confidence for the population average speed? Select one: а. 1.295 b. 2.387 C. 6.64 d. 3.2375 е. 2.656 f. 5.9675
- We asked 41 people to report the number of cars they've ever owned. The results are a mean of 4.6 and a standard deviation of 1.3. Construct a 80% confidence interval.On an Intelligence Quotient test with a mean score of 100 and a standard deviation of 15, Patrick scored 85. What is Patrick's ?-score?