A random sample of 15 ECE graduates of a certain school design a schematic diagram of a given electronic system with an average time of 2 hrs with a standard deviation of 20 minutes. Assuming a normal distribution for the time to finish the design of the schematic diagram: a. find a 99% confidence interval for the average time to finish the design of the schematic diagram by all ECE graduates of this school b. Compute the 99% prediction interval for the next observed time to finish the design of the schematic diagram by a graduate of this school.

A random sample of 15 ECE graduates of a certain school design a schematic diagram of a given electronic system with an average time of 2 hrs with a standard deviation of 20 minutes. Assuming a normal distribution for the time to finish the design of the schematic diagram: a. find a 99% confidence interval for the average time to finish the design of the schematic diagram by all ECE graduates of this school b. Compute the 99% prediction interval for the next observed time to finish the design of the schematic diagram by a graduate of this school.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 14PPS

See similar textbooks

Similar questions

Industrial light bulbs should have a mean life length acceptable to potential users and a relatively small variation in life length. If some bulbs fail too early in their life, users become annoyed and are likely to switch to bulbs produced by a different manufacturer. Large variations above the mean reduce replacement sales; in general, variation in life lengths disrupts the user’s replacement schedules. A random sample of 20 bulbs produced by a particular manufacturer produced the following lengths of life (in hours):2100, 2302, 1951, 2067, 2415, 1883, 2101, 2146, 2278, 2019, 1924, 2183, 2077, 2392, 2286, 2501, 1946, 2161, 2253, 1827.(a) Find a 99% confidence interval for the standard deviation of the lengths of life for the bulbs produced by this manufacturer. (b) Is the true population standard deviation possibly less than 150 hours? Why or why not?
A random sample of 15 ECE graduates of a certain school design aschematic diagram of a given electronic system with an average time of 2hrs with a standard deviation of 20 minutes. Assuming a normaldistribution for the time to finish the design of the schematic diagram: a. find a 99% confidence interval for the average time to finish thedesign of the schematic diagram by all ECE graduates of this school b. Compute the 99% prediction interval for the next observed time tofinish the design of the schematic diagram by a graduate of thisschool. Solve properly with clear solutions.
A random sample of 15 ECE graduates of a certain school design aschematic diagram of a given electronic system with an average time of 2hrs with a standard deviation of 20 minutes. Assuming a normaldistribution for the time to finish the design of the schematic diagram, a. find a 99% confidence interval for the average time to finish thedesign of the schematic diagram by all ECE graduates of this school. b. Compute the 99% prediction interval for the next observed time tofinish the design of the schematic diagram by a graduate of thisschoo
The 5-year incidence of cardiovascular disease (CVD) in relation to smoking status was determined in a population sample of 1000 men, 18 years and older. At baseline, 30% of the men were classified as being current smokers and 70% as being non-smokers. At the end of the follow-up, 60 CVD events had occurred among the smokers and 70 events among the non-smokers. Construct a 2 x 2 table based on the data provided
A study was conducted by a group of neurosurgeons. They compared a dynamic system (Z-plate) and a static system (ALPS plate) in terms of the number of acute postoperative days in the hospital spent by the patients. The descriptive statistics for these data are as follows: for 14 patients with dynamic system, the sample mean number of acute postoperative days was 7.36 with standard deviation of 1.22; for 6 patients with static system the sample mean number of acute postoperative days was 10.5 with sample standard deviation of 4.59. Assume that the numbers of acute postoperative days in both populations are normally distributed. We wish to estimate µ1 − µ2 with a 99 percent confidence interval. Can you assume unknown population variance are equal. a. Degrees of freedom and t-value are b. Margin of error and confidence interval are c. Based on your interval in part (b), we can state with 99 percent confidence that the average numbers of acute postoperative days in two populations i.…
The Weight and Blood Pressure of 26 Randomly Selected Male People in a Group ages 25 to 30 are shown in the following table. Suppose weight and blood pressure are normally and jointly distributed Y= 69.1044 + 0.4194x Obtain a 95% confidence interval estimate of the correlation coefficient.
Two suppliers manufacture a plastic gear used in a laser printer. The impact strength of these gears measured in foot-pounds is an important characteristic. A random sample of 10 gears from supplier 1 results in X₁ = : 290 and $₁ = 12, and another random sample of 16 gears from the second supplier results in x₂ = 321 and 5₂ = = 22. Is there evidence to support the claim that supplier 2 provides gears with higher mean impact strength? Use a = 0.05, and assume that both populations are normally distributed but the variances are not equal. a. Because -4.64 < -1.714, fail to reject the Null Hypothesis b. Because -4.64 < -1.714, reject the Null Hypothesis c. None among the choices d. Reject the Null Hypothesis
Samples of 100 8-hour shifts were randomly selected from the police records for each of two districts in a large city. The number of police emergency calls was recorded for each shift. The sample statistics are listed below. Region 1 2 Sample Size 100 100 Sample Mean 2.6 3.4 Sample Variance 1.24 2.54 Find a 90% confidence interval for the difference in the mean numbers of police emergency calls per shift between the two districts of the city. (Use μ₁ − μ₂. Round your answers to two decimal places.) calls per shift to calls per shift
A study was performed to determine whether men and women differ in repeatability in assembling components on a specific engine part. Random samples of 28 men and 25 women were selected, and each subject assembled the units. The two sample standard deviations of assembly time were S??? = 1.98 minutes and S????? = 2.31 minutes. Do we accept the claim that men and women differ in repeatability for this assembly task? Use α = 0.02. (Treat S??? ?? S1,??? S????? ?? S2) Find the: Parameter of interest: ? Null hypothesis: ? Alternative hypothesis: ? Test statistic: ? Reject H0 if: ? Computations: ? Conclusion: ?