FRQ #1: A company bakes computer chips in two ovens, oven A and ovenB. The chips are randomly assigned to an oven and hundreds of chips arebaked each hour. The percentage of defective chips coming from theseovens for each hour of production throughout a day is shown below.The percentage of defective chips producedeach hour by oven A has a mean of 33.56 and a standard deviation of 5.20.The percentage of defective chips produced each hour by oven B has amean of 32.44 and a standard deviation of 3.78. The hourly differences inpercentages for oven A minus oven B have a mean of 1.11 and a standarddeviation of 4.28.Does there appear to be a difference between oven A and oven Bwith respect to the mean percentages of defective chips produced? Giveappropriate statistical evidence to support your answer.Hour5769SAWN1Percentage of Defective Chips2348Oven A453234313537313027Oven B363733343332333024

The given data set is as follows:HourOven AOven B145362323733433431345353363732731338303092724In…

Answered: FRQ #1: A company bakes computer chips…

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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The lecturer are concerned that students who enrolled for the course this semester are spending more time playing online games than revising for their upcoming test. In order to pass the test, students need to spend at least 6 hours per week on the course materials. They conducted a survey of 120 students from Section 10G and 15P for which the result shows that the mean time they spent studying for the course in a week is 5.7667 hours with a standard deviation of 1.6487 hours. Using the critical value z0.025 =1.96 , perform hypothesis testing for mean to test whether or not students spent at least 6 hours weekly to study for the course.
Consider a small scale example, comparing how temperatures have changed in the US from 1968 to 2008. The daily high temperature reading on January 1 was collected in 1968 and 2008 for 51 randomly selected locations in the continental US. The locations are the same for both years. The difference between the two readings (temperature in 2008 - temperature in 1968) was calculated for each of the 51 different locations. The average of these 51 values was 1.24 degrees with a standard deviation of 4.25 degrees. We are interested in determining whether this provides strong evidence of temperature warming in the continental US. (Does the data provide evidence that the true mean temperature is greater in 2008 than in 1968?) Justify by using a confidence interval or a hypothesis test with α = 0.05. What type of error are you in danger of making?
A study from 2014 found that adults in the US spend an average of 11 hours per day watching, reading, listening to or simply interacting with media. Researchers at UCLA suspect students spend less time engaging media. They grouped UCLA students by class section, randomly selected 20 class sections, and administered a survey to each student in those randomly selected class sections. The following data represents the mean time (in hours) per day spent engaging media for each of the randomly selected classes: 9.5 11.5 6.0 7.5 8 9.5 10.5 11 12 8.2 5 9.5 8.2 9.3 10.8 11 13 8.6 9.5 10.5 What would be the 99% Confidence Interval for mean time (in hours) spent per day engaging media for UCLA students. Do this "by hand", using appripriate symbols/formulas/tables.
1. The quality of the drinking water must be monitored as often as possible. One variable of concern is the pH level, which measures the alkalinity or acidity of the water. A pH below 7.0 is acidic while a pH above 7.0 is alkaline. A pH of 7.0 is neutral. A water-treatment plant is targeting higher than 8.0 pH. Based on 16 random water samples, the mean and standard deviation were found to be: Xbar=7.6 and s = 0.4. Test the claim using 5% level of significance.a. Describe the population parameter of interest.b. Formulate the null and alternativehypothesis.c. Check the assumptions.d. Choose a significance level size for a.e. Select the appropriate test statistic. Compute the test statistic using the appropriate formula.f. Establish the critical valueg. State the decision rule for rejecting or not the null hypothesis.h. Compare the computed test statistic and the critical value/s.ANSWER ALL PLEASE ASAP I WILL UPVOTE
Water samples are taken from water used for cooling as it is being discharged from a power plant into a river. It has been determined that as long as the mean temperature of the discharged water is at most 150°F, there will be no negative effects on the river's ecosystem. To investigate whether the plant is in compliance with regulations that prohibit a mean discharge water temperature above 150°, 50 water samples will be taken at randomly selected times and the temperature of each sample recorded. The resulting data will be used to test the hypotheses Ho: μ = 150° versus H₂: μ > 150°. In the context of this situation, describe type I error. a A type I error occurs when our estimate for the mean discharge temperature is higher than the actual temperature. A type I error occurs when we say that the plant is not in compliance when in fact it is. A type I error occurs when our estimate for the mean discharge temperature is lower than the actual temperature. A type I error occurs when we…
Barron's has collected data on the top 1,000 financial advisers. Company A and Company B have many of their advisers on this list. A sample of 16 of the Company A advisers and 10 of the Company B advisers showed that the advisers managed many very large accounts with a large variance in the total amount of funds managed. The standard deviation of the amount managed by the Company A advisers was s1 = $583 million. The standard deviation of the amount managed by the Company B advisers was s2 = $488 million. Conduct a hypothesis test at ? = 0.10 to determine if there is a significant difference in the population variances for the amounts managed by the two companies. What is your conclusion about the variability in the amount of funds managed by advisers from the two firms? State the null and alternative hypotheses. H0: ?12 ≠ ?22 Ha: ?12 = ?22 H0: ?12 ≤ ?22 Ha: ?12 > ?22 H0: ?12 = ?22 Ha: ?12 ≠ ?22 H0: ?12 > ?22 Ha: ?12 ≤ ?22 Find the value of the test statistic.…
. A process that cuts lengths of metal with high precision has historically produced metal rods with length that is normally distributed and with a mean of 800 millimetres (mm). Management at the factory is concerned that after an overhaul of the machine the mean length of the rods being produced could differ from the required 800 mm. If it is found that the rods are not being produced to specifications then the machine will have to be stopped for readjustment, with a consequent loss of production. The production line manager tasked with investigating the issue finds that a (random) sample of 25 rods yielded a mean length of 806 mm and a sample standard deviation of 10 mm. i. The mean of the sample is clearly not the required 800 mm. Say why this is not enough information in itself to say if the machine is operating correctly or not. ii. State the null and alternative hypotheses for this situation.
. Each member of a large genetics class grows 12 pea plants from an independent pea family. Each family is expected to have 3/4 plants with smooth peas and 1/4 plants with wrinkled peas. a. On average, how many wrinkled pea plants will a student see in her 12 plants? b. What is the standard deviation of the proportion of wrinkled pea plants per student? c. What is the variance of the proportion of wrinkled pea plants per student? d. Predict what proportion of the students saw exactly two wrinkled pea plants in their sample.
Consider the following service system. The average inter-arrival time is 10 minutes, and the standard deviation of the inter-arrival time is 10 minutes. The average processing time is 5 minutes with the standard deviation of the processing time being 6 minutes. What is the value of Iq? What is the value of I?
The National Football League (NFL) records a variety of performance data for individuals and teams. To investigate the importance of passing on the percentage of games won by a team, the following data show the average number of passing yards per attempt (Yds/Att) and the percentage of games won (WinPct) for a random sample of 10 NFL teams for the 2011 season (NFL website). Team Yds/Att WinPct 5.7 26 Arizona Cardinals Atlanta Falcons Carolina Panthers 7.6 67 7.3 52 6.9 51 Chicago Bears Dallas Cowboys 5.1 17 8.6 82 New England Patriots Philadelphia Eagles Seattle Seahawks 5.3 21 6.6 41 St. Louis Rams 6.5 41 Tampa Bay Buccaneers. 6.1 38 a. Choose the correct a scatter diagram with the number of passing yards per attempt on the horizontal axis and the percentage of games won on the vertical axis. B. A. WinPct WinPct 80 DD J F1 70- 60- 50+ -40- 30 20- F2 80 F3 000 000 F4 F5 80- -70 60- 50- 40- 30- 20- S F6 ● - F7 DII F8 F9 F10 () F11 <))) F12 A
Historically it has been observed that patients admitted to a certain hospital for treatment of influenza spend a MEAN length of 4.4 days in the hospital. Every flu season, different strains of the flu circulate: Some years the primary strain causes more severe illness (and presumably longer than average hospital stays) and other years less so (meaning presumably shorter than average stays). We assume the hospital stays are NORMALLY distributed. a. A hospital wants to see how this year's flu season compares to previous years. Therefore, state the null and alternate hypotheses that would be used to test whether the hospital is seeing a mean hospital stay that is significantly DIFFERENT than the historical mean of 4.4 days. b. FIFTEEN patients admitted for influenza treatment are then randomly sampled and the length of their hospital stay in days is given below. 4641056443743774 SAMPLE MEAN =? SAMPLE STANDARD DEVIATION =? c. Using the results of part (b), determine what type of test is…
A study from 2014 found that adults in the US spend an average of 11 hours per day watching, reading, listening to or simply interacting with media. Researchers at UCLA suspect students spend less time engaging media. They grouped UCLA students by class section, randomly selected 20 class sections, and administered a survey to each student in those randomly selected class sections. The following data represents the mean time (in hours) per day spent engaging media for each of the randomly selected classes: 9.5 11.5 6.0 7.5 8 9.5 10.5 11 12 8.2 5 9.5 8.2 9.3 10.8 11 13 8.6 9.5 10.5 What would be the calculator steps to find standard deviaton, rounded to 3 decimal places?

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