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 μ 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 3 of 4: Determine the decision rule for rejecting the null hypothesis Ho. Round your answer to three decimal places.

The objective of this question is to determine the decision rule for rejecting the null hypothesis…

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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Two teaching methods and their effects on science test scores are being reviewed. A random sample of 88 students, taught in traditional lab sessions, had a mean test score of 72.172.1 with a standard deviation of 4.74.7. A random sample of 1010 students, taught using interactive simulation software, had a mean test score of 76.476.4 with a standard deviation of 3.33.3. Do these results support the claim that the mean science test score is lower for students taught in traditional lab sessions than it is for students taught using interactive simulation software? Let μ1�1 be the mean test score for the students taught in traditional lab sessions and μ2�2 be the mean test score for students taught using interactive simulation software. Use a significance level of α=0.1�=0.1 for the test. Assume that the population variances are equal and that the two populations are normally distributed. Step 2 of 4 : Compute the value of the t test statistic. Round your answer to three decimal places
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 22.4 with a standard deviation of 4.4, while the 200 students in group 2 had a mean score of 19.8 with a standard deviation of 4.1. Complete parts (a) and (b) below. (a) Determine the 90% 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.) Interpret the interval. Choose the correct answer below. OA. There is a 90% probability that the difference of the means is in the interval. B. The researchers are 90% confident that the difference of the means is in the interval. C. The…
Two teaching methods and their effects on science test scores are being reviewed. A random sample of 88 students, taught in traditional lab sessions, had a mean test score of 72.172.1 with a standard deviation of 4.74.7. A random sample of 1010 students, taught using interactive simulation software, had a mean test score of 76.476.4 with a standard deviation of 3.33.3. Do these results support the claim that the mean science test score is lower for students taught in traditional lab sessions than it is for students taught using interactive simulation software? Let μ1�1 be the mean test score for the students taught in traditional lab sessions and μ2�2 be the mean test score for students taught using interactive simulation software. Use a significance level of α=0.1�=0.1 for the test. Assume that the population variances are equal and that the two populations are normally distributed. Step 3 of 4 : Determine the decision rule for rejecting the null hypothesis H0�0. Round your…
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 24.4 with a standard deviation of 3.8, while the 200 students in group 2 had a mean score of 15.7 with a standard deviation of 3. Complete parts (a) and (b) below. (a) Determine the 95% confidence interval for the difference in scores, µ, - H3. Interpret the interval. The lower bound is The upper bound is (Round to three decimal places as needed.)
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…
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.
As the plant operations manager for Oxford Biotech, you are responsible for monitoring the amount of product placed in each carton. To be consistent with package labeling, cartons should contain a mean of 30 grams of product. Thousands of cartons are produced during a shift, and weighing every single carton was determined to be too time-consuming, costly, and inefficient. Instead, a random sample of cartons is selected. Based on your analysis of the sample, you had to decide whether to maintain, alter, or shut down the process.Using the concept of the sampling distribution of the mean, you are able to determine probabilities that such a sample mean could have been randomly selected from a population with mean of 30 grams. Specifically, if a sample size of n = 20 is selected from a population with mean of 30 grams and standard deviation of 0.60, you calculate the probability of selecting a sample with a mean of 29.85 grams or less to be ____.
Arbitron Media Research Inc. conducted a study of the iPod listening habits of men and women. One facet of the study involved the mean listening time. It was discovered that the mean listening time for a sample of 8 men was 34 minutes per day. The standard deviation was 19 minutes per day. The mean listening time for a sample of 10 women was also 34 minutes, but the standard deviation of the sample was 7 minutes. At the 0.02 significance level, can we conclude that there is a difference in the variation in the listening times for men and women? (Round your answer to 3 decimal places.) The test statistic is .Decision: H0:σ21=σ22.
As the plant operations manager for Oxford Biotech, you are responsible for monitoring the amount of product placed in each carton. To be consistent with package labeling, cartons should contain a mean of 368 grams of product. Thousands of cartons are produced during a shift, and weighing every single carton was determined to be too time-consuming, costly, and inefficient. Instead, a random sample of cartons is selected. Based on your analysis of the sample, you had to decide whether to maintain, alter, or shut down the process. Using the concept of the sampling distribution of the mean, you can determine the probability that such a sample mean could have been randomly selected from a population with mean of 368 grams. Specifically, if a sample size of n = 25 is selected from a population with mean of 368 grams and standard deviation of 15, the probability of selecting a sample with a mean of 365 grams or less is Enter your answers using 4 decimal places (Do NOT enter as a percentage).
Two teaching methods and their effects on science test scores are being reviewed. A random sample of 2020 students, taught in traditional lab sessions, had a mean test score of 72.772.7 with a standard deviation of 3.13.1. A random sample of 1212 students, taught using interactive simulation software, had a mean test score of 76.976.9 with a standard deviation of 5.55.5. Do these results support the claim that the mean science test score is lower for students taught in traditional lab sessions than it is for students taught using interactive simulation software? Let μ1�1 be the mean test score for the students taught in traditional lab sessions and μ2�2 be the mean test score for students taught using interactive simulation software. Use a significance level of α=0.05�=0.05 for the test. Assume that the population variances are equal and that the two populations are normally distributed. Step 2 of 4 : Compute the value of the t test statistic. Round your answer to three decimal…
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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