Question

In: Statistics and Probability

The following data was drawn from an industry, there were 12 machine's working hours and number...

The following data was drawn from an industry, there were 12 machine's working hours and number of units they could produce was tabulated as follows,

Hours (X) 80 79 83 84 78 60 82 85 79 84 80 62
Production(Y) 300 302 315 330 300 250 300 340 315 330 310 240

a) The management wish to know that the relation between working hours and their corresponding output is in a benefited way. Justify you answer with the management's hypothesis. Apply correlation coefficient formula for testing the hyposthesis.

b) Using appropriate software, you are asked to summarise the above statistical data you have been investigating in a method that can be understood by non-technical colleagues.

Solutions

Expert Solution

orchestra answered 1 year ago
Next > < Previous

Related Solutions

Consider the following data of the number of hours 12 students spent online during the weekend...
Consider the following data of the number of hours 12 students spent online during the weekend and the scores of each student who took a test the followingMonday. Hrs spent online(x): 0 1,2,3,3,5,5,5,6,7,7,10. Test scores(y): 96,85,82,74,95,68,76,84,58,65,75,50.a. Find the sample linear correlation coefficient and interpret it. b. Is the population correlation coefficient significant? [ use ? = 0.05]. c. Find the equation of the regression line. What is the slope of the line? Interpret this value in the context? d. What...
The following data show the number of hours per day 12 adults spent in front of...
The following data show the number of hours per day 12 adults spent in front of screens watching television – related content. Complete parts a) and b) below. 1.3 5.1 4.2 5.4 7.7 6.8 5.6 2.7 5.2 1.8 2.2 8.8 Construct a 99% confidence interval to estimate the average number of hours per day adults spend in front of screens watching television – related content. a) The 99% confidence interval to estimate the average number of hours per day adults...
The following data show the number of hours per day 12 adults spent in front of...
The following data show the number of hours per day 12 adults spent in front of screens watching​ television-related content. Complete parts a and b below. 1.2, 4.6 ,4.3 ,5.1 ,7.9 ,7.1 ,5.7 ,3.5 5.4, 1.2 ,2.5 and 8.4 a. Construct a 99​% confidence interval to estimate the average number of hours per day adults spend in front of screens watching​ television-related content. The 99​% confidence interval to estimate the average number of hours per day adults spend in front...
The following data show the number of hours per day 12 adults spent in front of...
The following data show the number of hours per day 12 adults spent in front of screens watching​ television-related content. 1.7, 4.6, 4.1, 4.7, 7.1, 6.6, 5.9, 2.6, 5.3, 1.5, 2.3, 8.6 Construct a 95​% confidence interval to estimate the average number of hours per day adults spend in front of screens watching​ television-related content. Estimate the average number of hours per day adults spend in front of screens watching​ television-related content from min to max hours
The following data show the number of hours per day 12 adults spent in front of...
The following data show the number of hours per day 12 adults spent in front of screens watching​ television-related content. Complete parts a and b below. 1.31.3 4.84.8 4.34.3 4.94.9 7.67.6 6.96.9 5.45.4 3.33.3 5.15.1 1.11.1 2.12.1 8.18.1 a.a. Construct a 95​% confidence interval to estimate the average number of hours per day adults spend in front of screens watching​television-related content. The 95% confidence interval to estimate the average number of hours per day adults spend in front of screens...
6. Consider the following data of the number of hours 12 students spent online during the...
6. Consider the following data of the number of hours 12 students spent online during the weekend and the scores of each student who took a test the followingMonday. Hrs spent online(x) 0 1 2 3 3 5 5 5 6 7 7 10 Test scores(y) 96 85 82 74 95 68 76 84 58 65 75 50 a. Find the sample linear correlation coefficient and interpret it. b. Is the population correlation coefficient significant? [ use α= 0.05] c....
Data were collected on number of credit hours earned from a random sample of 40 JMU...
Data were collected on number of credit hours earned from a random sample of 40 JMU students. The mean was 57.2 and the standard deviation was 8.9. Conduct a test to determine whether the true mean number of credit hours earned differs from 55.0, allowing a Type I error rate of 0.05. Assume that the distribution of the number of credit hours earned is normal. Show your full work. You may not use your calculator’s built-in function.
The following data were drawn from a normal population. Find a 98.6% confidence interval for the...
The following data were drawn from a normal population. Find a 98.6% confidence interval for the mean. 15 18 18 22 20 9 17 9 11 16 UCL = LCL =
The following data were drawn from a normal population. Find a 98.4% confidence interval for the...
The following data were drawn from a normal population. Find a 98.4% confidence interval for the mean. 7 21 20 8 14 12 18 14 9 23
The following eight observations were drawn from a normal population whose variance is 100: 12 8...
The following eight observations were drawn from a normal population whose variance is 100: 12 8 22 15 30 6 29 58 Part A What is the standard error of the sample mean, based on the known population variance? Give your answer to two decimal places in the form x.xx Standard error: Part B Find the lower and upper limits of a 90% confidence interval for the population mean. Give your answer to two decimal places in the form xx.xx...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT