A college entrance exam company determined that a score of 25 on the mathematics portion of the exam suggests that a student is ready for college-level mathematics. To achieve this goal, the company recommends thatstudents take a core curriculum of math courses in high school. Suppose a random sample of 250 students who completed this core set of courses results in a mean math score of 25.4 on the college entrance exam with astandard deviation of 3.7. Do these results suggest that students who complete the core curiculum are ready for college-level mathematics? That is, are they scoring above 25 on the math portion of the exam? Completeparts a) through d) below.a) State the appropriate null and alternative hypotheses. Fil in the correct answers below.The appropriate null and altemative hypotheses are H:versus H,:b) Verily that the requirements to perform the test using the t-distribution are satisfied. Check all that apply.OA. The students were randomly sampled.B. The sample size is larger than 30.C. The students' test scores were independent of one another.D. None of the requirements are satisfied.c) Use the P-value approach at the a=0.10 level of significance to test the hypotheses in part (a).Identify the test statistic.(Round to two decimal places as needed.)Identify the P-value.P-value =(Round to three decimal places as needed.)d) Write a conclusion based on the results. Choose the correct answer below.the null hypothesis and claim that theresufficient evidence to conclude that the population mean isthan 25.

a) State the appropriate nul and altemative hypotheses. Fil in the corect answers below. The appropriate null and altemative hypotheses ere Hy versus H: b) Verily that the requirements to perform the test using the t-distribution are satisfied. Check all hat apply DA The students were randomly sampled. B. The sample size is larger than 30. C. The students' test scores were independent of one another. OD. None of the requirements are satisfied. e) Use the Pvalue approach at the a0.10 level of significance to test the hypotheses in part (a). Identify the test statistic. JORound to tewo decimal places as needed.) Identify the Pvalue. P-value (Round to tree decimal places as needed) d) Write a conclusion based on the results. Choose the corect answer below. the null hypothesis and claim that there sufficient evidence to conclude that the population mean is than 25.

a) State the appropriate nul and altemative hypotheses. Fil in the corect answers below. The appropriate null and altemative hypotheses ere Hy versus H: b) Verily that the requirements to perform the test using the t-distribution are satisfied. Check all hat apply DA The students were randomly sampled. B. The sample size is larger than 30. C. The students' test scores were independent of one another. OD. None of the requirements are satisfied. e) Use the Pvalue approach at the a0.10 level of significance to test the hypotheses in part (a). Identify the test statistic. JORound to tewo decimal places as needed.) Identify the Pvalue. P-value (Round to tree decimal places as needed) d) Write a conclusion based on the results. Choose the corect answer below. the null hypothesis and claim that there sufficient evidence to conclude that the population mean is than 25.

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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questions : "determine the null and alternative hypotheses" and the pnes below it.
Question 1 Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the population proportion p at the given level of significance α using the given sample statistics. Claim: p<0.13; α=0.05; Sample statistics: p=0.12, n=25 a.) Can the normal sampling distribution be used? b.) State the null and alternative hypotheses. Choose the correct answer below. c.) Determine the critical value(s). or if the test cannot be performed d.) Find the z-test statistic or if the test cannot be performed e.) What is the result of the test?
Ida Find the P-value for the following values of the test statistic t, Sample size n, and alternate hypothesis H1. If you use table A. 3, you may specify that is between two values. t = -1.584, n = 19, H₁:μ ‡μO
Given the two independent samples below, conduct a hypothesis test for the desired scenario. Assume all populations are approximately normally distributed. Sample 1 Sample 2 110 n2 : 179 28.9 23.6 81 = 3.8 82 = 3.9 Test the claim: Given the null and alternative hypotheses below, conduct a hypothesis test for a = 0.05. Ho: H1 = 42 Ha: H1 < 42 a. Given the alternative hypothesis, the test is Select an answer b. Determine the test statistic. Round to four decimal places. t = c. Find the p-value. Round to 4 decimals. с. p-value = d. Make a decision. O Fail to reject the null hypothesis. O Reject the null hypothesis.
In case of hypothesis testing in places where population variances are unknown and sample size is large (nl and n22 30), sample variances can be a good approximation of population variances. Which best describe this statement? Select one: O a. None of the choices O b. The statement is true c. The statement is false O d. Not enough data to support the statement O e. The statement is neither true nor false
The data in the accompanying table give the weights (in g) of randomly selected quarters that were minted after 1964. The quarters are supposed to have a median weight of 5.670 g. Use the sign test and a 0.01 significance level to test the claim that the median is equal to 5.670 g. Do quarters appear to be minted according to specifications? Click the icon to view the data. What are the null and alternative hypotheses? O A. Ho: Median weight = 5.670 g H₁: Median weight 5.670 g More Info OB. Ho: Median weight ≤ 5.670 g H₁: Median weight = 5.670 g O D. Ho: Median weight = 5.670 g H₁: Median weight # 5.670 g 0 Post-1964 Quarters 5.5863 5.5764 5.6582 5.5649 5.5844 5.7402 5.7367 5.6057 5.5995 5.6165 5.6448 5.5974 5.6609 5.6363 5.6352 5.5986 5.5797 5.5501 5.6238 5.6462 5.6423 5.7021 5.5481 5.7078 5.6055 5.5324 5.7417 5.6776 5.5924 5.5691 5.5666 5.7287 5.6312 5.6017 5.6626 5.6436 5.6634 5.6132 5.5441 5.6363 -
Consider testing the hypotheses Ho: p 0.4 versus Hai p> 0.4. Four possible sample statistics, along with four possible p-values, are given. Match the statistics to their p-values. p= 0.42 p=0.38 p= 0.51 p= 0.46 D
Is there an association between grade level and whether the student makes their bed in the morning? To investigate, the principal at a large high school selects a random sample of 84 students and classifies them as being in ninth, tenth, eleventh, or twelfth grade, and whether they make their bed. He would like to determine if there is convincing evidence of an association. Let a = 0.05. What are the hypotheses for this test? O Ho: There is no association between grade level and whether the student makes their bed in the morning. Hạ: There is an association between grade level and whether the student makes their bed in the morning. O Ho: There is an association between grade level and whether the student makes their bed in the morning. Hạ: There is no association between grade level and whether the student makes their bed in the morning. O Ho: There is a difference in the distribution of grade level and whether the student makes their bed in the morning. Hạ: There is no difference in…
You wish to test the following claim (Ha) at a significance level of a = 0.002. 66.2 Ha:µ # 66.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of 64.3 and a standard deviation size n 28 with mean x of s 5.2. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value The p-value is... less than (or equal to) a O greater than a
Q5. Diamond and Lauren are looking at data from two groups. Diamond decides to run her analysis using a two-tailed test, whereas Lauren uses a one-tailed test. Who is more likely to commit a Type I error? A.) They're equally likely B.) Lauren C.) Not enough information to answer D.) Diamond Q6. Which of the following are assumptions of an independent samples t-test? A.) heterogeneity of variance; independence B.) heterogeneity of variance; nonnormality of distributions C.) homogeneity of variance; dependence D.) homogeneity of variance; normality of distributions Q7. If I want to know the probability of a coin landing on heads, so I flip the coin 100 times and record what it lands on, I'm using which view of probability: A.) Analytical B.) Subjective C.) Frequentist D.) Computational
1. A recent study investigated ir the distribution of gender is the same scross all scademic ranks. Dats were collected by taking a random sample of individuals from within each academic rank and then recording each individuals gender. Use the output below to conduct the appropriste hypothesis test. Use a 0.05 level of significance. a. Name of the hypothesis test b. Null and alternative hypotheses c. Test Statistic value d. p-value e. decision based on the p-value The SAS System The FREQ Procedure Frequency Table of gender by career Percent gender career Instructor Assistant Prof Associate Prof Full Prof Total Row Pct Col Pct Female 12 15 18 52 8.00 10.00 12.00 4.67 34.67 23.08 28.85 34.62 13.45 36.36 37.50 37.50 24.14 Male 21 25 30 22 98 14.00 16.67 20.00 14.67 65.33 21.43 25.51 30.61 22.45 63.64 62.50 62.50 75.86 Total 33 40 48 29 150 22.00 26.67 32.00 19.33 100.00 Statistics for Table of gender by career Statistic DF Value Prob Chi-Square 3 1.7733 0.6208 Likelihood Ratio Chi-Square…