Part 1: Hypothesis TestingAn educator claims that the average salary of substituteteachers in schools in a certain province, is less than Php800 perday. A random sample of eight schools is selected and the dailysalaries (Php) are shown. Is there enough evidence to supportthe educator's claim? Test the hypothesis at=.10.I. Problem:Is there enough evidence to support theeducator's claim? Test the hypothesis at = .10.II. Hypotheses:III. Level of Significance:IV. Statistics: t-test (t-test is usedV. Decision Rule: If the t-computed value is beyond thecritical value, Reject.VI. Conclusion:Another example,I. Problem:II. Hypotheses: An educator claims that the average salaryof substitute teachers in schools in a certainprovince, is less than Php800 per day. Arandom sample of eight schools is selectedand the daily salaries (Php) are shown. Isthere enough evidence to support theeducator'sclaim? Test the hypothesis at = .10.& DATA: 600 560 600 550 700 550 600 850Create scatter plot and answer the ffquestions below:4:26 PM

An educator has established a claim regarding the average salary of teachers in a certain province.…

Answered: An educator claims that the average…

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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A new centrifugal pump is being considered for an application involving the pumping of ammonia. The specification is that the flow rate be more than 5 gallons per minute (gpm). In an initial study, eight runs were made. The average flow rate was 6.5 gpm and the standard deviation was 1.9 gpm. If the mean flow rate is found to meet the specification, the pump will be put into service. a) State the appropriate null and alternate hypotheses. b) Find the P-value. c) Should the pump be put into service? Explain.
You may need to use the appropriate appendix table or technology to answer this question. An agency reports that 11.5% of workers in a particular country belonged to unions. Suppose a sample of 300 workers is collected to determine whether union efforts to organize have increased union membership. (a) Formulate the hypotheses that can be used to determine whether union membership has increased. H0: p = 0.115 Ha: p ≠ 0.115 H0: p > 0.115 Ha: p ≤ 0.115 H0: p ≤ 0.115 Ha: p > 0.115 H0: p ≥ 0.115 Ha: p < 0.115 H0: p < 0.115 Ha: p ≥ 0.115 (b) If the sample results show that 42 of the workers belonged to unions, what is the p-value for your hypothesis test? Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = (c) At ? = 0.05, what is your conclusion? - Reject H0. There is sufficient evidence to conclude that there has been an increase in union membership. -…
If we have a sample of size 100 with sample mean breaking strength of 975 pounds from a population of rope with standard deviation 200 pounds and we wish to run a hypothesis test with this data to see if the population mean breaking strength differs from 1000 pounds, what is the P-value of our data?
55% of students entering four-year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 161 of the 256 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of a = 0.10? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answerv (please enter a decimal) H1: ?v Select an answerv (Please enter a decimal) c. The test statistic ?v = (please show your answer to 3 decimal places.) d. The p-value = |(Please show your answer to 4 decimal places.) e. The p-value is ? a f. Based on this, we should Select an answerv the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the populaton proportion is significantly larger than 55% at a = 0.10, so there is sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree…
A magazine reported that at the top 50 business schools in a region, students studied an average of 12.5 hours. Set up a hypothesis test to try to prove that the mean number of hours studied at your school is different from the reported 12.5 hour benchmark. Complete parts (a) through (c) below. Question content area bottom Part 1 a. State the null and alternative hypotheses. Choose the correct answer below. A. H0: α=12.5 H1: β≠12.5 B. H0: α≠12.5 H1: α=12.5 C. H0: α=12.5 H1: α≠12.5 D. H0: μ=12.5 H1: X≠12.5 E. H0: μ≠12.5 H1: X=12.5 F. H0: β≠12.5 H1: β=12.5 G. H0: μ=12.5 H1: μ≠12.5 H. H0: X=12.5 H1: X≠12.5 I. H0: α≠12.5 H1: β=12.5 J. H0: X≠12.5 H1: X=12.5 K. H0: μ≠12.5 H1: μ=12.5 L. H0: β=12.5 H1: β≠
You may need to use the appropriate appendix table or technology to answer this question. An agency reports that 11.5% of workers in a particular country belonged to unions. Suppose a sample of 300 workers is collected to determine whether union efforts to organize have increased union membership. (a) Formulate the hypotheses that can be used to determine whether union membership has increased. H0: p = 0.115 Ha: p ≠ 0.115 H0: p > 0.115 Ha: p ≤ 0.115 H0: p ≤ 0.115 Ha: p > 0.115 H0: p ≥ 0.115 Ha: p < 0.115 H0: p < 0.115 Ha: p ≥ 0.115 (b) If the sample results show that 36 of the workers belonged to unions, what is the p-value for your hypothesis test? Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = (c) At ? = 0.05, what is your conclusion? Do not reject H0. There is insufficient evidence to conclude that there has been an increase in union…
(a) Determine the null and alternative hypotheses that would be used to test the effectiveness of the marketing campaign. Ho: = μ 56 H₁: μ > 56 (Type integers or decimals. Do not round.) (b) A sample of 884 Americans provides enough evidence to conclude that marketing campaign was effective. Provide a statement that should be put out by the marketing department. O A. There is not sufficient evidence to conclude that the mean consumption of popcorn has risen. B. There is sufficient evidence to conclude that the mean consumption of popcorn has risen. C. There is sufficient evidence to conclude that the mean consumption of popcorn has stayed the same. D. There is not sufficient evidence to conclude that the mean consumption of popcorn has stayed the same.
What is the null and alternative hypotheses for the average weight of dogs is 15.6 pounds?
Because of high production-changeover time and costs, a director of manufacturing must convince management that a proposed manufacturing method reduces costs before the new method can be implemented. The current production method operates with a mean cost of $260 per hour. A research study will measure the cost of the new method over a sample production period. (a) Develop the null and alternative hypotheses most appropriate for this study. H0: ? < 260 Ha: ? ≥ 260 H0: ? > 260 Ha: ? ≤ 260 H0: ? ≤ 260 Ha: ? > 260 H0: ? = 260 Ha: ? ≠ 260 H0: ? ≥ 260 Ha: ? < 260 (b) Comment on the conclusion when H0 cannot be rejected. There is not enough evidence to conclude that the new method reduces costs. Management should consider implementing the new method.There is enough evidence to conclude that the new method reduces costs. Management should not consider implementing the new method. There is enough evidence to conclude that the new method reduces costs. Management…
The level of dissolved oxygen in a river indicates the water’s ability to support aquatic life. A research project is started to determine if the oxygen levels in the river have changed. A study done 10 years prior, showed that the mean oxygen levels in milligrams per liter for the river was 4.3. A.) Write appropriate hypotheses for this test B.) Water is collected samples from 15 randomly chosen locations along the river and measured the dissolved oxygen. Construct and interpret a 95% confidence interval for the mean dissolved oxygen level for this stream. The results are in milligrams per liter: 4.53 5.5 4.01 5.04 4.83 4.66 3.29 4.4 2.87 5.23 5.42 5.73 4.13 6.38 5.55 C.) Based on the sample from part B, conduct a significance test of these results using a 5% significance level. Give complete results of the test including a p-value and what the results means.
p = proportion of graduates who get a jobA published article indicates that only 1 in 3 university graduates have a job waiting for them. In an investigation of 200 recent graduates of university A, it was found that 51 had a job. Can it be concluded, with a level of significance of 0.01, that from this university the proportion of graduates who have a job is lower? Choose 1. the correct conclusion2. the correct interpretationSelect one: a) 1. H0 is rejected2. It can be ensured, with 99% confidence, that less than a third of the graduates of said university get a job. b) 1. H0 is not rejected2. It can be ensured, with 99% confidence, that less than a third of the graduates of said university get a job. c) 1. H0 is not rejected2. There is not enough evidence to consider, with 99% confidence, that less than a third of the graduates of said university get a job. d) 1. H0 is rejected2. There is not enough evidence to consider, with 99% confidence, that less than a third of the graduates of…
Life on Other Planets Forty-five percent of people believe that there is life on other planets in the universe. A scientist does not agree with this finding. He surveyed 110 randomly selected individuals and found 66 believed that there is life on other planets. At α=0.05, is there sufficient evidence to conclude that the percentage differs from 45? Use the P-value method with a graphing calculator. State the hypotheses and identify the claim with the correct hypothesis. H0 : p=0.45 ▼not claim H1 : p≠0.45 ▼claim This hypothesis test is a ▼two-tailed test. Find the P-value. Round the answer to four decimal places. P-value = ___________________

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