Calculate the test statistic. (Round your answer to three decimal places.)Calculate the p-value. (Round your answer to four decimal places.)p-valueWhat is your conclusion?Reject Ho. We can conclude that there is a significant difference between the population mean scores for the math test and the writing test.Do not reject Ho. We can conclude that there is a significant difference between the population mean scores for the math test and the writing test.Do not reject Ho. We cannot conclude that there is a significant difference between the population mean scores for the math test and the writing test.Reject Ho. We cannot conclude that there is a significant difference between the population mean scores for the math test and the writing test.(b) What is the point estimate of the difference between the mean scores for the two tests? (Use math score –- writing score.)What are the estimates of the population mean scores for the two tests?MathWritingWhich test reports the higher mean score?The math test reports a---Select---O mean score than the writing test. A standardized exam consists of three parts: math, writing, and critical reading. Sample data showing the math and writing scores for a sample of 12 students who took the exam follow.StudentMathWriting5404742432380352845745746125448420650252674804308.4994539.610615105725411139033512593613(a) Use a 0.05 level of significance and test for a difference between the population mean for the math scores and the population mean for the writing scores. (Use math score -writing score.)Formulate the hypotheses.Ho: Ha s0Hi Hd>Ho: Hd = 0+ 0Hai Hd = 00 5 PH :0HHo: Ha# 0Ho: Hg> 0Hai HdsO

Name: Calculate the test statistic. (Round your answer to three decimal pla
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: Calculate the test statistic. (Round your answer to three decimal places.)Calculate the p-value. (Round your answer to four decimal places.)p-valueWhat is your conclusion?Reject Ho. We can conclude that there is a significant difference between the

Solution: n = 12 Sample size Let x= math score and y = writing score x y d=x-y (d-d) (d-d)2…

Math

Statistics

A standardized exam consists of three parts: math, writing, and critical reading. Sample data showing the math and writing scores for a sample of 12 students who took the exam follow. Student Math Writing 1 540 474 432 380 528 457 4 574 612 448 420 6. 502 526 480 430 8. 499 453 610 615 10 572 541 11 390 335 12 593 613 (a) Use a 0.05 level of significance and test for a difference between the population mean for the math scores and the population mean for the writing scores. (Use math score - writing s Formulate the hypotheses. Hoi Hoso Hai Hg> 0 Ho: Hg = 0 Hoi Hoso Hại Ho = 0 Ho: Ho #0 Hgi Ho = 0 Ho: Ha > 0

A standardized exam consists of three parts: math, writing, and critical reading. Sample data showing the math and writing scores for a sample of 12 students who took the exam follow. Student Math Writing 1 540 474 432 380 528 457 4 574 612 448 420 6. 502 526 480 430 8. 499 453 610 615 10 572 541 11 390 335 12 593 613 (a) Use a 0.05 level of significance and test for a difference between the population mean for the math scores and the population mean for the writing scores. (Use math score - writing s Formulate the hypotheses. Hoi Hoso Hai Hg> 0 Ho: Hg = 0 Hoi Hoso Hại Ho = 0 Ho: Ho #0 Hgi Ho = 0 Ho: Ha > 0

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: 0% IC'O7 crushed walnuts 14.29%

A: A test for two paired samples is a hypothesis test that attempts to make a claim about population…

Q: What is the value of the SS for the following sample below? Sample: 1, 1, 1, 7

Q: third

A: Please refer to the image below

Q: You work in the admissions department for a college and are asked to recommend the minimum SAT…

A: Consider the given data:…

Q: What is the mode for the following sample of n = 11 scores? Scores: 1, 2, 2, 2, 3, 3, 4, 5, 6, 6, 7…

Q: What is the standard error of the sampling dis- tribution of the mean for the following? a. o, = 48,…

Q: b.Twenty means were piotted on a control chart. An analyst counted 13 runs above/below the median,…

Q: Claim: Fewer than 92% of adults have a cell phone. In a reputable poll of 1172 adults, 86% said…

A: The hypotheses for the test are given below. Null hypothesis: H0: p = 0.92 Alternative hypothesis:…

Q: When having random numbers what is used SURVEYS OR EXPERIMENTS?

A: Here's the explanation for this is as follows; Note that ,Experiment came from the Latin word…

Q: Claim: Fewer than 95% of adults have a cell phone. In a reputable poll of 1073 adults, 90%…

A: Formula for Test statistic Test statistic ( z ) z = ( p^ - p ) / ( √( p * ( 1 - p) / n) )

Q: 2. Ms. Peterson asks her second-grade class to name their favorite color. What scale of measurement…

A: Scale of measurement are used to measure each type of data in a scale. The type of scale of…

Q: Find the mean, median, mode, sample size, and range of these numbers: 20, 5, 20, 25, 20, 19, 22,…

A: Given that data 20, 5, 20, 25, 20, 19, 22, 25, 12, 20 Arrange the data in increasing order 5 , 12 ,…

Q: The weekly salaries, in dollars, of 10 government workers are listed below. 495 666 530 674 636 686…

A: From the provided information, Sample size (n) = 10 Arranging the data values in ascending order:…

Q: find sample mean and sd 4.5,8.5,6.0,8.2,4.5,6.3,8.4,5.3,9.1,2.5,6.0,7.5

A: We need to find sample mean and sd 4.5,8.5,6.0,8.2,4.5,6.3,8.4,5.3,9.1,2.5,6.0,7.5

Q: How is a sample related to a population? Choose the correct answer below. O A. A sample is a…

A: See the solution

Q: Convert the following data to z scores to determine who scored above, below, and at the mean in this…

A: The mean of the sample is obtained below:From the given information, 40 observations of samples were…

Q: In each part, give the value of the standardized statistic (z-score) for the sample proportion.…

A: The objective of the question is to calculate the z-score for the sample proportion in each of the…

Q: find the median, 1 st quartile anf 3rd quartile for following sample data set…

Q: Using the educational attainment dataset, what is the P(Bachelor's Degree or more| Female aged 25 to…

A: Consider, PBachelor's degree or more|Female aged 25 to 39=PBachelor's degree or more and Female aged…

Q: Students in a math class took a 10 point quiz. The scores were: 3, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 9,…

A: Mean Let "X" be the math scores. 3 6 6 7 7 8 8 8 8 8 8 9 9 9 10 10 10

Q: What is a sampling distribution of means? Use your knowledge of the standard error of the sample…

Q: Ten public school students had the following scores on their standardized reading test (scores are…

A: It is an important part of statistics . It is widely used . Mean is defined as the average . Median…

Q: The following 40 scores are from a college mathematics test for elementary school teachers. 56, 92,…

Q: what is the second quartile

A: Second Quartile is the median of the data, xm. It is the 50th percentile of the data which is…

Q: Claim: Fewer than 91% of adults have a cell phone. In a reputable poll of 1119 adults, 83% said…

Q: Does the sample size n affect the mean of all possible sample means? Explain your answer.

Topic Video

Question

100%

Calculate the test statistic. (Round your answer to three decimal places.)
Calculate the p-value. (Round your answer to four decimal places.)
p-value
What is your conclusion?
Reject Ho. We can conclude that there is a significant difference between the population mean scores for the math test and the writing test.
Do not reject Ho. We can conclude that there is a significant difference between the population mean scores for the math test and the writing test.
Do not reject Ho. We cannot conclude that there is a significant difference between the population mean scores for the math test and the writing test.
Reject Ho. We cannot conclude that there is a significant difference between the population mean scores for the math test and the writing test.
(b) What is the point estimate of the difference between the mean scores for the two tests? (Use math score –
- writing score.)
What are the estimates of the population mean scores for the two tests?
Math
Writing
Which test reports the higher mean score?
The math test reports a
---Select---
O mean score than the writing test.

A standardized exam consists of three parts: math, writing, and critical reading. Sample data showing the math and writing scores for a sample of 12 students who took the exam follow.
Student
Math
Writing
540
474
2
432
380
3
528
457
4
574
612
5
448
420
6
502
526
7
480
430
8.
499
453
9.
610
615
10
572
541
11
390
335
12
593
613
(a) Use a 0.05 level of significance and test for a difference between the population mean for the math scores and the population mean for the writing scores. (Use math score -
writing score.)
Formulate the hypotheses.
Ho: Ha s0
Hi Hd>
Ho: Hd = 0
+ 0
Hai Hd = 0
0 5 PH :0H
Ho: Ha# 0
Ho: Hg> 0
Hai HdsO

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Means$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

A statisican that is a sports enthusiast estimated the mean cost for regular season upper level NBA tickets. They determined the mean cost to be between $52 and $78. What is the sample mean (7) ? A What is the margin of error (E)? AV
Income Tax and the IRS. In 2010, the Internal Revenue Service (IRS) sampled 308,946 tax returns to obtain estimates of various parameters. Data were published in Statistics of Income, Individual Income Tax Returns. According to that document, the mean income tax per return for the returns sampled was $11,266. a. Explain the meaning of sampling error in this context.b. If, in reality, the population mean income tax per return in 2010 was $11,354, how much sampling error was made in estimating that parameter by the sample mean of $11,266?c. If the IRS had sampled 400,000 returns instead of 308,946, would the sampling error necessarily have been smaller? Explain your answer.d. In future surveys, how can the IRS increase the likelihood of small sampling error?
The next seven questions refer to the following scenario: A random sample of 16 Porsche drivers yielded an average age of 50 years with a variance of 9 years and a random sample of also 16 Ferrari drivers yielded an average of 47 years with a variance of 25 years. Porsche Driver Ferrari Driver n 16 16 mean 50 47 Variance 25 Conduct the following hypothesis test at a=0.05. HO: Mean Age Porsche Drivers Mean Age Ferrari Drivers Assume unequal variance.
A random sample of employees participating in a company fitness program were asked how many days they logged an exercise activity in the past month. Their responses are reported in the histogram below.Based on the histogram above, what is the class width? Clas width = ? Days What is the sample size? Sample size = ? employees
Claim: Fewer than 94 % of adults have a cell phone. In a reputable poll of 1119 adults, 87 % said that they have a cell phone. Find the value of the test statistic.
Statistics Canada conducts an annual survey to estimate the proportion of Canadians aged 20 - 24 years of age who are smokers. The most recent application of the Canadian Tobacco Monitoring Survey involved a random sample of n=496 Canadians aged 20 to 24 years of age. Each was asked for the smoking status. The number of 20 to 24 year-olds sampled who indicated they were smokers was 333.(a) Compute the sample proportion. Use at least four decimals in your answer.p^= __________ (b) Using your answer in (a), find a 97% confidence interval for pnow, the current proportion of 20 to 24 year old Canadians who are smokers, by Bootstrapping 1000 samples. Use the seed 3994 to ensure that R-Studio "randomly" samples the same "random" samples as this question will expect.You can do this by including the code, you can copy it into your R-Studio to bootstrap your samples.RNGkind(sample.kind = "Rejection");set.seed(3994);B=do(1000) * mean(resample(c(rep(1,333),rep(0,496-333)), 496));Use at least four…
What is the one-sample t-test for the mean? WRite it in words and formulas.