Based on the information given for each of the following studies, decide whether to reject the null hypothesis. For each, give (a) the Z-score cutoff (or cutoffs) on the comparison distribution at which the null hypothesis should be rejected, (b) the Z score on the comparison distribution for the sample score, and (c) your conclusion. Assume that all populations are normally distributed
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Based on the information given for each of the following studies, decide whether to reject the null hypothesis. For each, give
(a) the Z-score cutoff (or cutoffs) on the comparison distribution at which the null hypothesis should be rejected,
(b) the Z score on the comparison distribution for the sample score, and
(c) your conclusion. Assume that all populations are
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- only c A tutorial school has been running IELTS mock examination for many years. Below is the summary presented by the tutorial school related to the IELTS mock examination in one of the many online classes selected randomly in year 2022. IELTS score in mock examination Number of students <4 0 5 2 6 5 7 15 8 10 9 3 A report presented by this tutorial school 5 years ago indicated that the population mean score of IELTS mock examination was 7.05 points and the population proportion of students got 7 points or above was 0.67. (a) Construct a 95% confidence interval estimate of population mean score a student get in the IELTS mock examination in 2022. (b) Test, at 1% level of significance, if the population proportion of students get 7 points or above in 2022 is higher than that in year 2017. (The report must include the (i) null hypothesis and alternative hypothesis, (ii)…The Trial Urban District Assessment (TUDA) is a government-sponsored study of student achievement in large urban school districts. TUDA gives a mathematics test scored from 0 to 500. A score of 262 is a "basic" mathematics level, and a score of 299 is "proficient." Scores for a random sample of 1100 eighth-graders in Dallas had x = 264 with standard error 1.3. TUDA results for 2019 from the National Center for Education Statistics, at https://www.nationsreportcard.gov. LO 5 DEC 1 S tv ♫ ♫ O Macmillan Learning (c) Is there good evidence that the mean for all Dallas eighth-graders is different from the basic level? F8 OYes, because the sample mean of 264 is not included in the 99% confidence interval. Yes, because the basic level of 262 is not included in the 99% confidence interval. O No, because the basic level of 262 is included in the 99% confidence interval. O No, because the sample mean of 264 is included in the 99% confidence interval. N 1917 66 7 A 72 P GE zoomThe Trial Urban District Assessment (TUDA) is a government-sponsored study of student achievement in large urban school districts. TUDA gives a mathematics test scored from 0 to 500. A score of 262 is a "basic" mathematics level, and a score of 299 is "proficient." Scores for a random sample of 1100 eighth-graders in Dallas had x = 264 with standard error 1.3. TUDA results for 2019 from the National Center for Education Statistics, at https://www.nationsreportcard.gov. O Macmillan Learning (b) Identify a 99% confidence interval for the mean score of all Dallas eighth-graders. (Be careful: the report gives the standard error of x, not the standard deviation s.) O 261.9 to 266.1 O260.6 to 267.4 O261.4 to 266.6 O 262.7 to 265.3
- The Trial Urban District Assessment (TUDA) is a government-sponsored study of student achievement in large urban school districts. TUDA gives a mathematics test scored from 0 to 500. A score of 262 is a "basic" mathematics level, and a score of 299 is "proficient." Scores for a random sample of 1100 eighth-graders in Dallas had x = 264 with standard error 1.3. TUDA results for 2019 from the National Center for Education Statistics, at https://www.nationsreportcard.gov. O Macmillan Learning (a) We don't have the 1100 individual scores, but use of the t procedures is surely safe. Why? O Because the data has a strong skew. O Because the sample size is very large. O Because use of the t procedures is always safe. O Because the sample doesn't have outliers.21WB_MATH_1016_WBON Ashley Ramos & Homework: Unit 7 Homework Save Score: 0.83 of 5 pts 6 of 14 (11 complete) HW Score: 49.17%, 24.58 of 50 pts 7.2.31-T Question Help A random sample of 75 eighth grade students' scores on a national mathematics assessment test has a mean score of 293. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 285. Assume that the population standard deviation is 32. At a = 0.14, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify Ho and Ha. Choose the correct answer below. O A. Ho: H2285 (claim) O B. Ho: H= 285 (claim) Ha:H> 285 Ψc. H : μ# 285 Ha:H 285 (claim) OD. Ho:H= 285 Ο Ε. H : μ 285 Hai H> 285 (claim) (b) Find the standardized test statistic z, and its corresponding area. z = 2.17 (Round to two decimal places as needed.) (c) Find the P-value. P-value = (Round to three decimal…A random sample of n = 755 US cell phone users age 18 and older in May 2011 found that the average number of text messages sent or received per day is 41.5 messages, with standard error about 6.1. 1. 1Smith, A., "Americans and Text Messaging," Pew Research Center, http://www.pewinternet.org/Reports/2011/Cell-Phone-Texting- 2011/Main-Report/How-Americans-Use-Text-Messaging.aspx, accessed September 19, 2011. Your answer is incorrect. (a) Use the information from the sample to give the best estimate of the population parameter. eTextbook and Media Hint Your answer is incorrect. (b) Find a 95% confidence interval for the mean number of text messages. to The 95 % confidence interval is 70°F Sunny A arch 立
- Find the mean and variance of S2(attached)m/assess2/?cid=86500&aid%3D6192789#/skip/1 myOpenMath Home | My Classes ♥ | User Settings Log Out Course Messages Forums Calendar Gradebook Home > Statistics - Fall 2020 > Assessment Binomial Homework Progress Score: 0/12 0/4 answered Question 1 30% of all college students major in STEM (Science, Technology, Engineering, and Math). If 47 college students are randomly selected, find the probability that a. Exactly 13 of them major in STEM. b. At most 17 of them major in STEM. C. At least 16 of them major in STEM. d. Between 9 and 14 (including 9 and 14) of them major in STEM Hint: Hint Video on Finding Binomia! Probabilities Question Help: Message inistricto Submit Question N INConstruct a 95% prediction interval for the final exam score of a randomly selected student with 5 absences.
- {200, 400, 800, 1000, 2000} In z-score normalization, what value should first number (200) betransformed to?Genetic defect It’s believed that 4% of children have agene that may be linked to juvenile diabetes. Researchershoping to track 20 of these children for several years test732 newborns for the presence of this gene. What’s theprobability that they find enough subjects for their study?The data "sea_pets_samp" is a simple random sample of 100 cases from the dataset "seattlepets" from OpenIntro.Org. Each case is a registered pet in Seattle, WA between 2003 and 2018. There 71 dogs in the sample, 9 of which are Labrador Retrievers. Question:"Is there evidence at the 1% significance level that more than 10% of the registered dogs in Seattle were Labrador Retrievers between 2003 and 2008?"