A professional employee in a large corporation receives an average ofμ=42.1 e-mails per day. Most of these e-mails are from other employees inthe company. Because of the large number of e-mails, employees findthemselves distracted and are unable to concentrate when they return totheir tasks. In an effort to reduce distraction caused by such interruptions,one company established a priority list that all employees were to usebefore sending an e-mail. One month after the new priority list was put intoplace, a random sample of 48 employees showed that they were receivingan average of x = 33.1 e-mails per day. The computer server through whichthe e-mails are routed showed that a=19.6. Use a 5% level of significanceto test the claim that there has been a change (either way) in the averagenumber of e-mails received per day per employee. What are the null andalternate hypotheses?O Ho:O Ho:O Ho:O Ho:O Ho:42.1 e-mails; H₁: u 42.1 e-mails42.1 e-mails; H₁: u> 42.1 e-mails42.1 e-mails; H₁: u> 42.1 e-mails42.1 e-mails; H₁: u = 42.1 e-mails42.1 e-mails; H₁: μ< 42.1 e-mails

Answered: Image /qna-images/answer/2eabb207-7789-4da7-83c4-edfd9217ea24.jpg

Answered: A professional employee in a large…

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 team of government researchers would like to determine whether a new tax on cigarettes has any effect on people’s smoking behavior. Specifically, they are expecting that by increasing the price of cigarettes, people’s will buy fewer packs of cigarettes (ultimately leading to decreases in cigarette smoking). During the year before the tax was imposed, stores located in rest areas on the state highways reported selling an average of µ = 410 packs per day. The distribution of daily sales was approximately normal. For a random sample of n = 25 days during the first year following the new tax, the researchers found an average of x̅= 380 packs per day for the same stores, with a standard deviation of s = 60. Is the sample mean sufficient to conclude that there was a significant decrease in cigarette purchases after the new tax? Use a one-tailed test with α = .01.
A commonly cited standard for one-way length (duration) of school bus rides for elementary school children is 30 minutes. A local government office in a rural area conducts a study to determine if elementary schoolers in their district have a longer average one-way commute time. If they determine that the average commute time of students in their district is significantly higher than the commonly cited standard they will invest in increasing the number of school busses to help shorten commute time. What would a Type 2 error mean in this context? O The local government decides that the average commute time is 30 minutes. O The local government decides that the data provide convincing evidence of an average commute time higher than 30 minutes, when the true average commute time is in fact 30 minutes. O The local government decides that the data do not provide convincing evidence of an average commute time higher than 30 minutes, when the true average commute time is in fact higher than…
People gain weight when they take in more energy from food than they expend. Researchers wanted to investigate the link between obesity and energy spent on daily activity. Choose 20 healthy volunteers who don't exercise. Deliberately choose 10 who are lean and 10 who are mildly obese but still healthy. Attach sensors that monitor the subjects' every move for 10 days. The table below presents data on the time (in minutes per day) that the subjects spent standing or walking, sitting, and lying down. Is there a significant difference between the mean times the two groups spend lying down? Let ?1 be the mean time spent lying down by the lean group, and ?2 be the mean time for the obese group. Time (minutes per day) spent in three different postures by leanand obese subjects Group Subject Stand/Walk Sit Lie Lean 1 509.100 366.300 554.500 Lean 2 603.925 374.512 452.650 Lean 3 322.212 580.138 533.362 Lean 4 581.644 362.144 489.269 Lean 5…
According to the CDC, cholesterol levels can be reduced by following a healthy diet, getting regular exercise, and reducing the amount of alcohol consumed on a weekly basis. One method of monitoring overall cholesterol levels is to calculate your cholesterol ratio (LDL/HDL), in general a cholesterol ratio between 3.5 and 5.0 is considered to be healthy for most adults. Suppose you are a clinical researcher testing the effects of these lifestyle changes on patient cholesterol levels. In order to determine if following these guidelines helps to reduce overall cholesterol, a total of 18 participants (N = 18) with moderate to high cholesterol ratios (i.e., 3.91 to > 5.0) were recruited for a healthy lifestyle study and their cholesterol ratio was calculated three times over a six week period: Week 0 (baseline), Week 3, and Week 6. Using the variables "Week 0", "Week 3", and "Week 6" in the data set, conduct a One-Way, Within Subjects (AKA Repeated Measures) ANOVA, at α = 0.05, to see…
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According to the CDC, cholesterol levels can be reduced by following a healthy diet, getting regular exercise, and reducing the amount of alcohol consumed on a weekly basis. One method of monitoring overall cholesterol levels is to calculate your cholesterol ratio (LDL/HDL), in general a cholesterol ratio between 3.5 and 5.0 is considered to be healthy for most adults. Suppose you are a clinical researcher testing the effects of these lifestyle changes on patient cholesterol levels. In order to determine if following these guidelines helps to reduce overall cholesterol, a total of 18 participants (N = 18) with moderate to high cholesterol ratios (i.e., 3.91 to > 5.0) were recruited for a healthy lifestyle study and their cholesterol ratio was calculated three times over a six week period: Week 0 (baseline), Week 3, and Week 6. Using the variables "Week 0", "Week 3", and "Week 6" in the data set, conduct a One-Way, Within Subjects (AKA Repeated Measures) ANOVA, at α = 0.05, to see…
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Several years ago, the Arcadia school system was criticized because the average Arcadia High School graduate could read at only the ninth-grade level. After this report was made, a special reading program was established to upgrade skills. The AHS principal wants to know if the reading program worked. If it has, he will request that an accreditation team visit the school. If the program has not improved the reading level to at least 10.0 (sophomore level), the administrator would like to avoid the embarrassment of a poor review. To determine the average reading level of the senior class, we select ten seniors at random. We assume that reading scores are normally distributed. The reading scores for the ten seniors are shown in Table 1. Table 1: Reading Scores for Sample High School Seniors Student Reading Score 1 13.4 2 12.1 3 11.4 4 10.6 5 10.3 6 10.2 7 9.8 8 9.7 9 9.4 10 8.6 Calculate the sample mean…
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Some commercial airplanes recirculate approximately 50% of the cabin air in order to increase fuel efficiency. The researchers studied 1100 airline passengers, among which some traveled on airplanes that recirculated air and others traveled on planes that did not recirculate air. Of the 515 passengers who flew on planes that did not recirculate air, 108 reported post-flight respiratory symptoms, while 112 of the 585 passengers on planes that did recirculate air reported such symptoms. Is there sufficient evidence to conclude that the proportion of passengers with post-flight respiratory symptoms differs for planes that do and do not recirculate air? Test the appropriate hypotheses using ? = 0.05. You may assume that it is reasonable to regard these two samples as being independently selected and as representative of the two populations of interest. (Use a statistical computer package to calculate the P-value. Use pdo not recirculate − pdo recirculate. Round your test statistic to two…
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