The mean SAT math reasoning score in 2010 was 515, with a standard deviation of 114.  An educational psychologist believes that students who take at least 4 years of English courses in high school score better on the SAT math reasoning exam. The psychologist obtains a random sample of 40 high school students who completed at least 4 year of English courses in high school and finds that their mean SAT math reasoning exam score is 540. Illustrate an appropriate test at the alpha is 0.05 level of significance to determine if the psychologist's belief is supported by the data.

Q: It currently takes users a mean of 44 minutes to install the most popular computer program made by…

A: Hypothesized mean µ = 44 minutes Sample size (n) = 51 Mean x̅ = 47.8 minutes Standard deviation (s)…

Q: The average math SAT score is 511 with a standard deviation of 112. A particular high school…

A: # Given : sample size n=50  sample mean =540  population mean=511  standard deviations=112  claim…

Q: Two researchers conducted a study in which two groups of students were asked to answer 42 trivia…

A: Confidence interval is an interval such that the probability of the unknown parameter to be included…

Q: What cutoff score(s) should be used? ±3.356   ±2.447   ±3.708   +1.943

A: The degrees of freedom is, df=n1+n2-2=4+4-2=6 The degrees of freedom is 6.

Q: It currently takes users a mean of 13 minutes to install the most popular computer program made by…

A: Population mean = ? = 13 Sample S.D = s =2.7 Sample size = n =37 Sample mean = x̅ = 12

Q: currently takes users a mean of 26 minutes to install the most popular computer program made by…

A: Given that  Sample size n =51 Sample mean =24.9 Standard deviation =2.7

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A: The z test is used when the sample sizes are large i.e., more than 30 and the population standard…

Q: In 1995, Cook County, Illinois (1.4 million households), conducted a study to determine how far the…

A: N=2518 Mean =42.6 Standard deviation =16.7 Average =42 We have to test hypothesis.

Q: Two researchers conducted a study in which two groups of students were asked to answer 42 trivia…

A: Given α=0.10n1=200x1=26.3s1=5.2n2=200x2=17.6s2=2.8

Q: The average math SAT score is 521 with a standard deviation of 112. A particular high school claims…

A: Null and alternative hypotheses:Null hypothesis:H0: µ = 521.That is, the average math SAT score is…

Q: It currently takes users a mean of 37 minutes to install the most popular computer program made by…

A: The objective of this question is to determine if the mean installation time for a computer program…

Q: Two researchers conducted a study in which two groups of students were asked to answer 42 trivia…

A: (a) The degrees of freedom is,…

Q: The average math SAT score is 516 with a standard deviation of 119. A particular high school claims…

A: From the given information,Population mean(µ) = 516.Population standard deviation (σ)=119.Sample…

Q: SAT Verbal Scores...Do students who learn English and another language simultaneously score worse on…

A: Denote μ as the mean SAT critical reading exam score.

Q: A chicken farmer claims that his chickens have a mean weight of 58 ounces. The farmer takes a random…

A: In this problem, we will use z-test to solve the test statistic since the population standard…

Q: The average math SAT score is 522 with a standard deviation of 116. A particular high school…

A: Given information- Population mean, µ = 522 Population standard deviation, σ = 116 Sample size, n =…

Q: The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that…

A: From the provided information, Sample size (n) = 54 Out of which 35 involved an intoxicated driver.…

Q: It currently takes users a mean of 44 minutes to insta made to the program, the company executives…

A: Sample size=51 Sample mean=47.8  Population mean=44 Standard deviation =10.2   Level of…

Q: The average math SAT score is 516 with a standard deviation of 115. A particular high school claims…

A: The average math SAT score is 516 with a standard deviation of 115. The claim is that students have…

Q: ow. difference of the means is in the interval. e of the means is in the interval. difference…

A: Given Data : For group 1 x̄1 = 21.4 n1= 200 s1= 3.3 For group 2…

Q: A South African study on the number of student study hours reported that on average, engineering…

A: The provided sample mean is =  27.5 population standard deviation is  = 6.8 Level of Significance α…

Q: The average salary of North Carolina is reported to be $50,781. After completing a survey of 120…

A: Given,   Sample size = 120 Sample mean = 51203 Sample standard deviation = 2409   Set up the null…

Q: Starting engineers in the Philippines earned an average annual salary of P282,000. For the same…

A: GivenMean(x)=408000standard deviation(s)=274342sample size(n)=24α=0.1

Q: It currently takes users a mean of 16 minutes to install the most popular computer program made by…

A:

Q: a study in which two groups of students were asked to answer 42 trivia questions from a board game.…

A: Given that, For group 1 :23.84.1200For group 2 :18.54.4200We have to find the 95% confidence…

Q: t is known from a recent marketing psychology research that the average popularity perception score…

A: To perform the hypothesis test, we need to follow the following steps:  Step 1: State the…

Q: A researcher in Scotland is interested in analyzing local ancient folklore. He creates a test with…

A: From the provided information, Sample size (n) = 178 Sample mean (x̅) = 76 Standard deviation (s) =…

Q: It currently takes users a mean of 26 minutes to install the most popular computer program made by…

A:

Q: The heights of 36 randomly selected horse jockeys found that the average height was 61 inches with a…

A: Given: Sample size of horse jockeys (n) = 36 Sample mean height x¯=61 Sample standard deviation of…

Q: A consumer organization inspecting new cars found that many had appearance defects​ (dents,…

A: Given -  A consumer organization inspecting in new car found defects are, 8 % had exactly three ,…

Q: Do political science classes require the same amount of writing as history classes? The 40 randomly…

A:

Q: It currently takes users a mean of 37 minutes to install the most popular computer program made by…

A: The hypothesized average time (in minutes) to install the program, μ0=37.The sampled number of…

Q: Two researchers conducted a study in which two groups of students were asked to answer 42 trivia…

A: Given data We have given the data from two groups of students-   Population 1 Population 2…

Q: Two researchers conducted a study in which two groups of students were asked to answer 42 trivia…

A: given data group 1x¯1  = 25s1 = 4.5n1 = 200group 2x¯2  =19.6s2 = 4.3n2 = 20095% ci for μ1-μ2here i…

Q: 80 smokers were questioned about the number of hours they sleep each day. We want to test the…

A: From the given information we conduct Z test for mean.

Q: Two researchers conducted a study in which two groups of students were asked to answer 42 trivia…

A: Given that

Q: The average math SAT score is 513 with a standard deviation of 113. A particular high school claims…

A: Solution: We are given:The average math SAT score is 513 with a standard deviation of 113.Therefore,…

Q: Two researchers conducted a study in which two groups of students were asked to answer 42 trivia…

A: Given that, the 200 students in group 1 had a mean score of 24.1 with a standard deviation of 3.7,…

Q: A village head wants to know the number of chickens in his area. So the Lurah conducted research on…

A:

Q: Two researchers conducted a study in which two groups of students were asked to answer 42 trivia…

A: The mean and standard deviation for group 1 are  x1=22sd1=3.5n1=200 The mean and standard deviation…

Q: Two researchers conducted a study in which two groups of students were asked to answer 42 trivia…

A:

Q: The average math SAT score is 516 with a standard deviation of 117. A particular high school claims…

A: Introduction: Denote μ as the true mean math SAT score of the students in the given high school.

Q: It currently takes users a mean of 26 minutes to install the most popular computer program made by…

A: In hypothesis testing, we start by stating the null hypothesis (H0) and the alternative hypothesis…

Q: It currently takes users a mean of 26 minutes to install the most popular computer program made by…

A: The random variable installation time follows normal distribution. We have to test whether the mean…

Q: According to Facebook, the mean number of community pages, groups and events that users are…

A: Given that  Sample size n=64 Sample mean=86 Sample standard deviation =48