A study was designed to compare the attitudes of two groups of nursing students towards computers. Group 1 had previously taken a statisticalmethods course that involved significant computer interaction. Group 2 had taken a statistic methods course that did not use computers. Thestudents' attitudes were measured by administering the Computer Anxiety Rating Scale (CARS). A random sample of 12 nursing students fromGroup 1 resulted in a mean score of 54.7 with a standard deviation of 6. A random sample of 15 nursing students from Group 2 resulted in a meanscore of 66.6 with a standard deviation of 3. Can you conclude that the mean score for Group 1 is significantly lower than the mean score for Group2? Let μ₁ represent the mean score for Group 1 and μ₂ represent the mean score for Group 2. Use a significance level of a = 0.1 for the test.Assume that the population variances are equal and that the two populations are normally distributed.Step 1 of 4: State the null and alternative hypotheses for the test.

The objective of this question is to determine whether there is a significant difference in the mean…

Answered: A study was designed to compare the…

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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Salvatore, as the director of a regional bank, is concerned about the wait times of customers at the four branches. He randomly selects 48 patrons at each branch and records the waiting time for each patron. The results of the samples are shown below. The Alvrine branch has a mean waiting time of 13.49 minutes with a standard deviation of 1.97 minutes.The Durham branch has a mean waiting time of 12.61 minutes with a standard deviation of 2.89 minutes.The Hanover branch has a mean waiting time of 11.06 minutes with a standard deviation of 2.46 minutes.The Mascomonet branch has a mean waiting time of 12.89 minutes with a standard deviation of 3.12 minutes.
A bridal gown shop owner owns a store in San Francisco and a store in Redwood city. She is trying to figure out if clients tend to spend the same amount at both stores. She takes a random sample of 25 purchases from each store, and find the San Francisco store has a mean amount spent of $2500 with a standard deviation of $1500. The Redwood City store has a mean amount spent of $2000 with a standard deviation of $1000. Use a significance level of 10% to determine if the clients at the two stores spend the same amounts. State: Plan: Do: Conclude:
A technician compares repair costs for two types of microwave ovens (type I and type II). He believes that the repair cost for type I ovens is greater than the repair cost for type II ovens. A sample of 6060 type I ovens has a mean repair cost of $77.22$⁢77.22, with a standard deviation of $22.46$⁢22.46. A sample of 6565 type II ovens has a mean repair cost of $73.73$⁢73.73, with a standard deviation of $10.62$⁢10.62. Conduct a hypothesis test of the technician's claim at the 0.10.1 level of significance. Let μ1μ1 be the true mean repair cost for type I ovens and μ2μ2 be the true mean repair cost for type II ovens. Step 2 of 4 : Compute the value of the test statistic. Round your answer to two decimal places.
In a study examining the relationship between socioeconomic status (SES) and academic achievement among high school students, the researchers collected data on 500 students from varying SES backgrounds. The SES was categorized into low, medium, and high. The academic achievement was measured using GPA scores. The following descriptive statistics were obtained: Mean GPA for low SES students: 2.8 Standard deviation of GPA for low SES students: 0.5 Mean GPA for medium SES students: 3.5 Standard deviation of GPA for medium SES students: 0.3 Mean GPA for high SES students: 4.0 Standard deviation of GPA for high SES students: 0.2 a) Calculate the coefficient of variation for each SES group and interpret the results.
Researchers investigate how the presence of cell phones influence the quality of human interaction. Subjects are randomly selected from a population and divided into an experimental group that is asked to leave their phones in the front of the room and a control group that are not asked to leave their cell phones at the front of the room. Subjects are left alone for 10 minutes and then asked to take a survey designed to measure quality of interactions they had with others in the experiment. What statistical test is appropriate?
An industrial plant wants to determine which of two types of fuel, electric or gas, is more cost efficient (measured in cost per unit of energy). Independent random samples were taken of plants using electricity and plants using gas. These samples consisted of 7 plants using electricity, which had a mean cost per unit of $36.41 and standard deviation of $8.53, and 13 plants using gas, which had a mean of $46.50 and standard deviation of $8.60. Assume that the populations of costs per unit are normally distributed for each type of fuel, and assume that the variances of these populations are equal. Can we conclude, at the 0.10 level of significance, that u, the mean cost per unit for plants using electricity, differs from H,, the mean cost per unit for plants using gas? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)…
Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions from a board game. The students in group 1 were asked to spend 5 minutes thinking about what it would mean to be a professor, while the students in group 2 were asked to think about soccer hooligans. These pretest thoughts are a form of priming. The 200 students in group 1 had a mean score of 23.5 with a standard deviation of 4.3, while the 200 students in group 2 had a mean score of 17.7 with a standard deviation of 4.1. Complete parts (a) and (b) below. (a) Determine the 95% confidence interval for the difference in scores, μ1−μ2. Interpret the interval. The lower bound is __. The upper bound is ___ (Round to three decimal places as needed.) B Interpret the interval. Choose the correct answer below. A. The researchers are 95% confident that the difference of the means is in the interval. B. There is a 95% probability that the difference of the means is…
2. Interpret this data.
Fuel efficiency of Prius: Fueleconomy.gov, the official US government source for fuel economy information, allows users to share gas mileage information on their vehicles. The histogram below shows the distribution of gas mileage in miles per gallon (MPG) from 14 users who drive a 2012 Toyota Prius. The sample mean is 53.3 MPG and the standard deviation is 5.2 MPG. Note that these data are user estimates and since the source data cannot be verified, the accuracy of these estimates are not guaranteed. (a) The EPA claims that a 2012 Prius gets 50 MPG (city and highway mileage combined). Do these data provide strong evidence against this estimate for drivers who participate on fueleconomy.gov? The test statistic is: __________________(please round to two decimal places)The p-value:___________________________ for this hypothesis test is: (please round to four decimal places)(c) Please comment on the primary thing that is wrong about the following statement: There is sufficient evidence…
Acne is a common skin disease that affects most adolescents and can continue into adulthood. A study compared the effectiveness of three acne treatments and a placebo, all in gel form, applied twice daily for 12 weeks. The study's 517 teenage volunteers were randomly assigned to one of the four treatments. Success was assessed as clear or almost clear skin at the end of the 12 week period. The results of the study can be seen in the table below. Using the appropriate statistical test, determine if there is significant evidence that the four treatments perform differently. If so, how do they compare.
A physician who specialized in weight control has three different plans he recommends. TTISIT As an experiment, he randomly selected 12 patients and then assigned 4 to each diet. After three weeks, the following weight losses, in pounds, were noted. Plan A Plan B Plan C 15 15 19 16 17 19 Grand Mean=17 14 19 21 15 17 17 Mean 2=17 Mean 3=19 Mean1=15 Use 0.05 significance level, to test if the plans are different. Question: Calculate the following, only: The SStotal, the SSE, the SST, dfT, dfE, VarT, VarE, and the test statistic F. Note: Write the details of your calculations for the Sum of Squares, only, and the final Result for the others. Type your answers on the Response Template. (without the formulas).
An industrial plant wants to determine which of two types of fuel, electric or gas, is more cost efficient (measured in cost per unit of energy). Independent random samples were taken of plants using electricity and plants using gas. These samples consisted of 14 plants using electricity, which had a mean cost per unit of $55.06 and standard deviation of $8.25, and 12 plants using gas, which had a mean of $57.80 and standard deviation of $7.81. Assume that the populations of costs per unit are normally distributed for each type of fuel, and assume that the variances of these populations are equal. Can we conclude, at the 0.10 level of significance, that μ₁, the mean cost per unit for plants using electricity, differs from μ₂, the mean cost per unit for plants using gas? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of…

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