Mathnasium and Kumon are both tutoring programs available worldwide which advertise improving math skills for students....
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Mathnasium and Kumon are both tutoring programs available worldwide which advertise improving math skills for students. How do these two programs compare for grade-school children attending public schools in Michigan? To explore this question, we took the following random samples and recorded the score on a Michigan standardized test: • A random sample of grade-school children attending public schools in Michigan who participate in Mathnasium (group 1). • A random sample of grade-school children attending public schools in Michigan who participate in Kumon (group 2). For each student participating in our study, we recorded the math M-STEP score (Michigan's standardized test). Based on the results of these two random samples, we constructed the following unpooled (general) 90% confidence interval for H1-H2: (8.5 points, 13.8 points). Assume the necessary conditions for computing the confidence interval are met. Question 2 Subquestions 2.a 1 point(s) ||~ 2.b TBD points Provide the estimate of the difference in population means of math M-STEP score for grade-school children attending public schools in Michigan who participate in Mathnasium (group 1) versus Kumon (group 2). X1-X2 = 2.65 points H1-H2 11.15 points X1-X2 11.15 points 000 H1-H2= 12 points X = 11.15 points Using the same sample results, based on the unpooled 90% confidence interval of (8.5 points, 13.8 points), which of the following are reasonable unpooled 95% confidence intervals for the difference in population means of math M-STEP score for grade-school children attending public schools in Michigan who participate in Mathnasium (group 1) versus Kumon (group 2)? Select any that may apply. (8 points, 15 points) (8.15 points, 14.15 points) (8.65 points, 13.65 points) (8.75 points, 13.55 points) Cannot be determined with the information given. 2.c 1 point(s) 2.d 1 point(s) Based on the 90% interval provided (using a 10% significance level), is there a significant difference between the population means for math M-STEP score for grade-school children attending public schools in Michigan for those who participate in Mathnasium (group 1) versus Kumon (group 2)? No, because the study results were not provided so we are not able to find the appropriate p-value. U No, because the entire 90% confidence interval is above 0. 0 Yes, because the 90% confidence interval contains the value of 0. Yes, because the 90% confidence interval does not contain the value of 0. You are told that an unpooled (General) 90% confidence interval was created using the study results. Knowing that an unpooled confidence interval was constructed, which of the following assumptions was not reasonably met after exploring the data? O The two samples of math M-STEP scores have a similar variance. 0 The two samples of math M-STEP scores have an equal variance. The two populations of math M-STEP scores have a similar variance. 0 The two populations of math M-STEP scores have an equal variance. The math M-STEP scores for each of the two populations follow a normal distribution. The math M-STEP scores for each of the two samples follow a normal distribution. Mathnasium and Kumon are both tutoring programs available worldwide which advertise improving math skills for students. How do these two programs compare for grade-school children attending public schools in Michigan? To explore this question, we took the following random samples and recorded the score on a Michigan standardized test: • A random sample of grade-school children attending public schools in Michigan who participate in Mathnasium (group 1). • A random sample of grade-school children attending public schools in Michigan who participate in Kumon (group 2). For each student participating in our study, we recorded the math M-STEP score (Michigan's standardized test). Based on the results of these two random samples, we constructed the following unpooled (general) 90% confidence interval for H1-H2: (8.5 points, 13.8 points). Assume the necessary conditions for computing the confidence interval are met. Question 2 Subquestions 2.a 1 point(s) ||~ 2.b TBD points Provide the estimate of the difference in population means of math M-STEP score for grade-school children attending public schools in Michigan who participate in Mathnasium (group 1) versus Kumon (group 2). X1-X2 = 2.65 points H1-H2 11.15 points X1-X2 11.15 points 000 H1-H2= 12 points X = 11.15 points Using the same sample results, based on the unpooled 90% confidence interval of (8.5 points, 13.8 points), which of the following are reasonable unpooled 95% confidence intervals for the difference in population means of math M-STEP score for grade-school children attending public schools in Michigan who participate in Mathnasium (group 1) versus Kumon (group 2)? Select any that may apply. (8 points, 15 points) (8.15 points, 14.15 points) (8.65 points, 13.65 points) (8.75 points, 13.55 points) Cannot be determined with the information given. 2.c 1 point(s) 2.d 1 point(s) Based on the 90% interval provided (using a 10% significance level), is there a significant difference between the population means for math M-STEP score for grade-school children attending public schools in Michigan for those who participate in Mathnasium (group 1) versus Kumon (group 2)? No, because the study results were not provided so we are not able to find the appropriate p-value. U No, because the entire 90% confidence interval is above 0. 0 Yes, because the 90% confidence interval contains the value of 0. Yes, because the 90% confidence interval does not contain the value of 0. You are told that an unpooled (General) 90% confidence interval was created using the study results. Knowing that an unpooled confidence interval was constructed, which of the following assumptions was not reasonably met after exploring the data? O The two samples of math M-STEP scores have a similar variance. 0 The two samples of math M-STEP scores have an equal variance. The two populations of math M-STEP scores have a similar variance. 0 The two populations of math M-STEP scores have an equal variance. The math M-STEP scores for each of the two populations follow a normal distribution. The math M-STEP scores for each of the two samples follow a normal distribution.
Expert Answer:
Related Book For
Introductory Econometrics A Modern Approach
ISBN: 9781337558860
7th Edition
Authors: Jeffrey Wooldridge
Posted Date:
Students also viewed these mathematics questions
-
The following random samples are measurements of the heat-producing capacity (in millions of calories per ton) of specimens of coal from tow mines: a) Use the level of significance ?=0.05. Test...
-
Confidence Interval for Sample of Size n 1 Based on the article An Effective Confidence Interval for the Mean with Samples of Size One and Two, by Wall, Boen, and Tweedie (American Statistician,...
-
A random sample of 156 grade point averages for students at one university is stored in the data file Grade Point Averages. a. Compute the first and third quartiles. b. Calculate the 30th percentile....
-
Cassandra is retiring December 31, 2023, after many, happy years of employment with Canadian National Railway Company (CN). She is fortunate to be part of a Defined Benefit Pension Plan (DBPP). Her...
-
With respect to the comments of Stiles and McCracken concerning for whom the GDP Fund would be appropriate: a. McCracken was correct and Stiles was wrong. b. Both were correct. c. Stiles was correct...
-
please answer all the questionss.,.within 30 minutes. make sure the explanation and reasons are explained in very detailed manner as in why the chosen option is right and why other options are wrong....
-
The June 30, 2010, adjusted trial balance of Energized Espresso, Inc., is shown next. Requirements 1. Prepare the June closing entries for Energized Espresso, Inc. 2. Calculate the ending balance in...
-
How long does it take for the following to happen? a. $856 grows into $1,122 at 7% b. $450 grows into $725.50 at 12% compounded monthly c. $5,000 grows into $6,724.44 at 10% compounded quarterly
-
What innovative methodologies can leaders employ to cultivate a diverse and inclusive workforce, thereby capitalizing on the manifold perspectives and experiences to foster creativity and drive...
-
Download the nasdaq-by-year-historical-annual-returns dataset in Excel from Connect or Additional Student Resources.8 Note the annual stock market returns to investment in the NASDAQ stock market...
-
Estimate the cost of debt using a synthetic bond rating. The following are the estimated synthetic bond ratings based on interest coverage ratio. Interest Coverage Ratio > 8.50 6.50-8.50 5.50 -6.50...
-
Jeff and Jason spend X dollars each to purchase annuities. Jeff buys a perpetuity-immediate, which makes annual payments of 30. Jason buys a 10-year annuity-immediate, also with annual payments. The...
-
Return on investment, or ROI is a commonly used profitability ratio that measures the amount of return an investment generates relative to its costs.What are some limitations to ROI?
-
Assume that ABCDEFG Corp. can either invest in Project A or Project B. Project A requires the initial investment of $51,000 and will generate $15,000 at Year 1, $14,500 at Year 2, $13,000 at Year 3,...
-
A large-cap U.S. equity portfolio manager is concerned about near-term marker conditions and wishes to reduce the systematic risk of her portion from 1.2 to 0.90. Her portfolio value is $56 million,...
-
If you save money from the age of 20 and save $ 4 daily, and, at the end of the year, all the savings you invest in a mutual fund account that has a 7% annual return, determine the balance of the...
-
Word count: (350 words +/-10%). Marking scheme Defining and describing the four accounting principles, and/or assumptions that apply to Elite Fitness and Sports Company financial reporting. Provide...
-
1. Use these cost, revenue, and probability estimates along with the decision tree to identify the best decision strategy for Trendy's Pies. 2. Suppose that Trendy is concerned about her probability...
-
Let x t be the 1 (k + 1) vector of explanatory variables for observation t. Show that the OLS estimator can be written as Dividing each summation by n shows that is a function of sample averages....
-
Suppose that, in equation (15.8), you do not have a good instrumental variable candidate for skipped. But you have two other pieces of information on students: combined SAT score and cumulative GPA...
-
Using the cluster option in the econometrics package Stata 11, the fully robust standard errors for the pooled OLS estimates in Table 14.2that is, robust to serial correlation and heteroskedasticity...
-
Calculate the CGT payable in relation to each of the following disposals, assuming in each case that the annual exemption is fully utilised against other gains, that there are no allowable losses and...
-
In October 2012, Matthew bought a piece of rare porcelain for 10,000. The porcelain was damaged in early 2019 and in February of that year Matthew spent 3,850 on restoration work. In July 2019,...
-
Mick Stone disposed of the following assets during tax year 2023-24: (1) On 19 May 2023, Mick sold a freehold warehouse for 522,000. This warehouse was purchased on 6 August 2011 for 258,000, and was...
Study smarter with the SolutionInn App