Suppose a new standardized test is given to 100 randomly selected third-grade students in New Jersey. The sample average score Y on the test is58 points, and the sample standard deviation, Sy, is 8 points.a. The authors plan to administer the test to all third-grade students inNew Jersey. Construct a 95% confidence interval for the mean scoreof all New Jersey third graders.b. Suppose the same test is given to 200 randomly selected third gradersfrom Iowa, producing a sample average of 62 points and sample stan-dard deviation of 11 points. Construct a 90% confidence interval forthe difference in mean scores between Iowa and New Jersey.c. Can you conclude with a high degree of confidence that the popula-tion means for Iowa and New Jersey students are different? (What isthe standard error of the difference in the two sample means? Whatis the p-value of the test of no difference in means versus some differ-ence?)

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Answered: uppose a new standardized test is given…

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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In a certain test in Calculus, the mean score of a group of 100 students was 30 and the standard deviation was 8. In a test in Physics, the mean was 52 and the standard deviation was 6. If a student scored 65 in Calculus and 70 in Physics, in which test did the student perform better? O The students performed better in their Physics test O The performance is unable to determine. O The students performed the same in both tests. O The students performed better in their Calculus test
Use the data attached: 1. In two to three sentences, explain what a confidence interval means(in general), as if you were talking to someone who has not taken statistics. 2. In one to two sentences, explain what this confidence interval means for this particular study.
A survey was conducted where 27 students were asked which social media app is their favorite, Twitter or Tiktok. male female twitter 4 4 TikTok 4 15 create and interpret (in context) a one-proportion confidence interval. You may choose the level of confidence. conduct a Chi-Squared test for Association to determine if your data provide statistically significant evidence of an association between your two variables.
4. At private college the achievement test is used for advanced study placement. Counselors selected a random sample of 144 students from the college and scored their tests by hand before sending them in for computer processing. For this sample, the mean was 450 and s = 29. Construct a 98% confidence interval for the mean.
12. (Two Samples) According to a survey, the mean price of gasoline in the United States was $1.20 per gallon in 1995 and $1.10 per gallon in 1994. (U.S. News & World Report, June 12, 1995). Suppose these means were based on random samples of 100 gasoline stations for 1995 and 120 gasoline stations for 1994. Also, assume that the sample standard deviations were $0.11 for 1995 and $0.10 for 1994. a. Construct a 98% confidence interval for the difference between the mean gasoline prices for 1995 & 1994. b. Test at the 1% significance level if the mean gasoline price was higher in 1995 than in 1994.
Please answer all. Thank you. A national random sample of 20 NCAE Scores from 2010 is listed below. 29,26,13,23,23,25,17,22,17,19 12,26,30,30,18,14,12,26,17,18 Calculate the 95 percent confidence interval for the mean NCAE score if the sample standard deviation is about 5.9407. A.) between 18.22 and 23.48 B.) between 18.07 and 23.63 C.) between negative infinity and 23.15 D.) between negative infinity and 23.05 The value of z selected for constructing a given confidence interval is called A.) confidence B.) error C.) student D.) critical value
A telemarketing company knows that the daily average sales is 20. A new telemarketer who has just started with the company claims that the target of 20 sales per day is an unreasonably high target. From the 100 telemarketers working for you, you select a random sample of 16 and calculate the mean and the standard deviation of sales for a day to be 18.5 and 3.2 respectively. Is there any validity in the statement made by the new telemarketer? Test at the 5% level of significance.
A study is conducted to compare the performance of students with more than one personal electronic gadget and those with only one. A number of them were taken as subjects for the study. The mean grades of these students and the standard deviations are shown below: For one gadget: The mean is 83, standard deviation is 12, and sample size is 7. For more than one gadget: The mean is 79, standard deviation is 13, and sample size is 5. Is it possible to conclude that there is no significant difference in the mean grades of the two types of students at a 95% confidence interval? Note: This is a two-tailed test. Also take note that this is finding the difference between two population means.
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Suppose a new standardized test is given to 108 randomly selected third-grade students in New Jersey. The sample average score Y on the test is 62 points, and the sample standard deviation, sy, is 10 points. The authors plan to administer the test to all third-grade students in New Jersey. The 95% confidence interval for the mean score of all New Jersey third graders is (.). (Round your responses to two decimal places.) Suppose the same test is given to 216 randomly selected third graders from lowa, producing a sample average of 66 points and sample standard deviation of 13 points. The 90% confidence interval for the difference in mean scores between lowa and New Jersey is -6.22.). (Round your responses to two decimal places.) The p-value of the test of no difference in means versus some difference is 0.0024. (Round your response to four decimal places.) Can you conclude with a high degree of confidence that the population means for lowa and New Jersey students are different? OA.…
We asked 41 people to report the number of cars they've ever owned. The results are a mean of 4.6 and a standard deviation of 1.3. Construct a 80% confidence interval.
Suppose a sample of 9 customers spends an average of $200 with a standard deviation $20 what is a 95% confidence interval for the sample mean. Use the fact that 95% of sample means are within 2.306 standard errors of the sample mean.

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