5. An office manager is looking to purchase a new printer for his office. He has narrowedhis choices down to four printers but cannot decide which of the four he prefers. Hehas decided to choose two of the four printers at random, and then to let the othermembers of the office decide which of the two they prefer. The speeds, in pages perminute, of the four printers are 25, 30, 27, and 32. Considering the speeds of the twoprinters chosen to be the sample, what are the mean and the standard deviation ofthe sample mean?

Population is the complete set of the data for which the study is conducted and a subset of…

Answered: An office manager is looking to…

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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A consumer agency wants to determine which of two laundry detergents, A or B, cleans clothes better. Fifty pieces of fabric are subjected to the same kinds of stains (grass, mud, coffee). Then 25 pieces are randomly assigned to be cleaned with detergent A and the remaining 25 pieces are cleaned with detergent B. After being laundered, the pieces of fabric are rated on a scale from 1–10, with 1 being the least clean to 10 being the most clean. The difference in mean ratings (A – B) was determined to be 1.5. Assuming there is no difference in the two detergents, 200 simulated differences in sample mean ratings are displayed in the dotplot. Using the dotplot and the difference in mean ratings from the samples, is there convincing evidence that the one detergent is better than the other? Yes, because a difference in mean rating of 1.5 or more occurred only 23 out of 200 times, meaning the difference is statistically significant and there is convincing evidence that A is more effective…
In a memory test, the test subjects are given a large number and are asked to memorize it. Historical records show that 80% of test subjects pass the test. To pass the test, a subject must exactly repeat all the digits in the number after two hours. A random sample of 625 people to take the memory test is going to be chosen. Let p be the proportion of people in the sample who pass the test. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of P. 0 (b) Find the standard deviation of p. 0 (c) Compute an approximation for P(P >0.84), which is the probability that more than 84% of the people in the sample pass the test. Round your answer to four decimal places. 0 X
Maya has two ways to travel from her home in Norco to her office in Los Angeles. One is to go via the 10 Freeway, and the other is to go via 60 Freeway. In order to determine which way she should travel on a daily basis, Maya has recorded the travel times for samples of eleven trips via the 10 Freeway and eleven trips via the 60 Freeway. The following table gives the travel times (in minutes) for the twenty-two trips. Travel times in minutes 10 Freeway 74, 72, 75, 75, 74, 72, 67, 67, 75, 69, 71 60 Freeway 70, 80, 69, 71, 69, 77, 68, 79, 74, 79, 77 Send data to calculator Send data to Excel Assume that the two populations of travel times are normally distributed and that the population variances are equal. Can we conclude, at the 0.05 level of significance, that u,, the mean travel time via the 10 freeway, is different from µ,, the mean travel time via the 60 freeway? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal…
Does the location of your seat in a classroom play a role in attendance or grade? 1600 students in a physics course were randomly assigned to one of four groups. The 400 students in group 1 sat 0 to 4 meters from the front of the class, the 400 students in group 2 sat 4 to 6.5 meters from the front, the 400 students in group 3 sat 6.5 to 9 meters from the front, and the 400 students in group 4 sat 9 to 12 meters from the front. Complete parts (a) through (c). Click the icon to view the chi-square table of critical values. (a) For the first half of the semester, the attendance for the whole class averaged 83%. So, if there is no effect due to seat location, we would expect 83% of students in each group to attend. The data show the attendance history for each group. How many students in each group attended, on average? Is there a significant difference among the groups in attendance patterns? 3 4 Group Attendance 1 0.84 0.84 0.84 0.80 The number of students who attended in the first…
Using the same question from #3 A survey is done to find out the favorite movies of 500 children. The children are categorized into male and female, and a sample of 50 children is chosen. Answer the following question: If the number of female children is 300, what is the sample size of each stratum? a male sample: 40 and female sample: 10 b male sample; 25 and female sample: 25 c male sample: 30 and female sample: 20 d male sample: 20 and female sample: 30
The ages of 10 randomly selected students from a class are 21, 19, 27, 22, 29, 19, 25, 21, 22, and 30 years, respectively. Find the mode.
Twenty-nine college students, identified as having a positive attitude about Mitt Romney as compared to Barack Obama in the 2012 presidential election, were asked to rate how trustworthy the face of Mitt Romney appeared, as represented in their mental image of Mitt Romney’s face. Ratings were on a scale of 0 to 7, with 0 being “not at all trustworthy” and 7 being “extremely trustworthy.” Here are the 29 ratings: 2.6 3.2 3.7 3.3 3.4 3.6 3.7 3.8 3.9 4.1 4.2 4.9 5.7 4.2 3.9 3.2 4.5 5.0 5.0 4.6 4.6 3.9 3.9 5.3 2.8 2.6 3.0 3.3 3.7 a 95% confidence interval for the mean rating. Is there significant evidence at the 5% level that the mean rating is greater than 3.5 (a neutral rating)?
A dairy farmer thinks that the average weight gain of his cows depends on two factors: the type of grain that they are fed and the type of grass that they are fed. The dairy farmer has four different types of grain from which to choose and three different types of grass from which to choose. He would like to determine if there is a particular combination of grain and grass that would lead to the greatest weight gain on average for his cows. He randomly selects three one-year-old cows and assigns them to each of the possible combinations of grain and grass. After one year he records the weight gain for each cow (in pounds) with the following results. Is there sufficient evidence to conclude that there is a significant difference in the average weight gains among the cows for the different types of grain? Cow Weight Gain (Pounds) Grass A Grass B Grass B Grain A 359359 327327 232232 277277 250250 163163 191191 304304 216216 Grain B 331331 348348 176176 318318 205205…
A manufacturing plant makes computer chips 24 hours a day. Employees work one of three, 8 hour shifts during the morning (2am-10am), day (10am-6pm), and night (6pm-2am). Below are data on the number of defective chips on a randomly chosen 24 hour period. Shift Morning Day Night Number of Defective Chips 23 26 47 Total Chips Manufactured 330 330 330 The plant manager thinks there might be more defective computer chips manufactured during the night shift compared to the day shift. Give appropriate statistical evidence to test the managers' claim.
At a football game, 40 fans were randomly surveyed. Of the sampled fans, 6 named Daren as the best player. Given this sample, if there are 12,000 fans altogether at the game, how many fans would likely name Daren as the best player? O 720 O 1,800 O 4,800 O 80,000 Choice Blocker Highlight Line Viewer Ruler Ruler (Grades 2&3) Protractor Calc Basic Calc Sci Reference Try Desmos Graphing Calc
Ida wants to know if people prefer for one brand of chocolate chip cookie dough over another. To test this, she bakes eight dozen cookies from dough made by each of 4 manufacturers and labels the brands A, B, C, and D, to conceal the name of the company from the tasters. She then selects a random sample of 96 students at her school to try each brand of cookie and choose the brand they like best. The cookies are tasted in random order. Here are the results: Cookie Brand Number of choosing brand A 26 18 24 28 Ida performs the appropriate y procedure to test the hypothesis that the brands are preferred equally. What brand category that contributes the most to the value of the ? statistic? OD O A O BA O All four components are roughly equal. NEW FOR YOU: 40% OFF
Amy has two ways to travel from her home in Norco to her office in Los Angeles. One is to go via the 10 Freeway, and the other is to go via 60 Freeway. In order to determine which way she should travel on a daily basis, Amy has recorded the travel times for samples of eight trips via the 10 Freeway and eight trips via the 60 Freeway. The following table gives the travel times (in minutes) for the sixteen trips: Travel times in minutes 10 Freeway 73, 69, 72, 71, 73, 73, 72, 73 60 Freeway 80, 75, 68, 72, 73, 81, 67, 75 Assume that the two populations of travel times are normally distributed and that the population variances are equal. Can we conclude, at the 0.1 level of significance, that the mean travel times of the two routes are different? Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list…

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