Part 3: 3) Identify the critical value. If there are multiple critical values, separate them using commas. If using z, round to 2 decimals; if using t, round to 3 decimals.
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Q: Part 3: 3) Identify the critical value(s). If there are multiple critical values, separate them…
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- Consider the following hypothesis statement using α=0.05 and data from two independent samples. Assume the population variances are equal and the populations are normally distributed. Complete parts a and b. H0: μ1−μ2≤11 x1=71.4 x2=58.5 H1: μ1−μ2>11 s1=19.9 s2=18.3 n1=15 n2=20 a. Calculate the appropriate test statistic and interpret the result. 1. The test statistic is 2. The critical value(s) is(are) b. . Identify the p-value from part a and interpret the result. 1.. Identify the p-value from part a and interpret the result.An education researcher claims that at most 3% of working college students are employed as teachers or teaching assistants. In a random sample of 600 working college students, 4% are employed as teachers or teaching assistants. At α=0.01, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below. A. Identify the claim and state HO and Ha B. Find the Critical Value(s) and identify the rejection region(s) C. Find the standardized test statistic d. Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.Consider the following hypothesis statement using α=0.01 and data from two independent samples. Assume the population variances are equal and the populations are normally distributed. Complete parts a and b. H0: μ1−μ2=0 x1=14.5 x2=13.0 H1: μ1−μ2≠0 s1=2.6 s2=3.3 n1=22 n2=15 a. Calculate the appropriate test statistic and interpret the result. The test statistic is? The critical value(s) is(are)? b. Identify the p-value from part a and interpret the result.
- A student decides to spin a dime and determine the proportion of times it lands on heads. The student spins the dime 25 times and records that it lands on heads 17 times. Let p = the true proportion of times the dime would land on heads when spun. Under the assumption that the true proportion is 0.5, 100 simulated proportions for samples of size 25 is shown in the dotplot. Using the dotplot, is there evidence that the proportion of times a spun dime lands on heads is greater than 0.5? A) Yes, a proportion of 0.68 proves that the true proportion of heads is greater than 0.5. B) Yes, a proportion of 0.68 only occurred once out of 100 simulated proportions; therefore, there is sufficient evidence that the true proportion of heads is greater than 0.5. C) No, a proportion of 0.68 is only 0.18 more than 0.5; therefore, there is insufficient evidence that the true proportion of heads is greater than 0.5. D) No, a proportion of 0.68 or more occurred 7 times out of 100 simulated…Did the ductility of the wire change after soaking it to an acid solution? Infer from the data below: Ductility before soaking Ductility after soaking 2563 2405 2564 2406 2565 2407 2566 2408 2567 2409 2452 2693 2453 2694 2454 2695 2455 2696 2456 2697 2634 2589 2635 2590 2636 2591 2637 2592 1.) Create a null and alternative hypothesis 2.) Is there a significant change before and after soaking? Prove it using computationsWhen the parameter and the sample size is equal to the parameter is being estimated, then the estimator is said to be _________________. a. Unbiased b. Consistent c. Regular d. Efficient
- 3) A firm in Lebanon has developed a chemical solution that can be added to car gasolinewhich they believe will increase the miles per gallon that cars will get. The owners areinterested in estimating the difference between mean mpg for cars using the chemicalsolution versus those that are not using the solution. The following data represent the mpgfor independent random samples of cars from each population.with Solution without Solution______________________________n1 = 36 n2 = 42 x1 = 25.45 x2 = 24.1 _______________________________Assume that the populations are normally distributed and the population standarddeviations are known to be σ1 = 3.95 (with solution) and σ2 = 3.09 (without solution).Given this data, can the owners believe that there is a difference between mean mpg forcars using the chemical solution versus those that are not using the solution? Test using analpha level equal to 0.05.4) Given the following null and alternative hypothesis:H0: σ 2 ≤ 52HA : σ 2 > 52and the…3. Continue from the previous question, you are given the following information about y and x. Dependent Variable (y) Independent Variable (x) 5 1 4 2 3 3 2 4 1 5 The point estimate of y when x = 2 is 4. The critical value of t for a two-tailed test with 7 degrees of freedom using α = .05 is 1.943. 2.447. 1.985. 2.365. 5. For a two-tailed hypothesis test with a sample size of 20 and a .04 level of significance, the critical values of the test statistic t are -1.729 and 1.729 -2.093 and 2.093 -2.086 and 2.086 -2.205 and 2.205Consider the following hypothesis statement using α=0.10 and the following data from two independent samples. Complete parts a and b below. H0: p1−p2≥0 x1=74 x2=76 H1: p1−p2<0 n1=125 n2=170 a. Calculate the appropriate test statistic and interpret the result. What is the test statistic? What is/are the critical value(s)? b. Calculate the p-value and interpret the result. What is the p-value?
- 27 An expert estimates that the distribution parameter for durability times of parts produced with machine A in the factory is different from the distribution parameter for durability times of parts produced with machine B. Durability times of 4 parts produced from machine A and 4 produced from machine B are given below. Using these data, find the “p” value corresponding to the W a value at 0.05 significance level for the Mann-Whitney U test. a) 4 B) 3 NS) 5 D) one TO) 2nd. The term sample usually refers to a sample that ___ - Consists of people with chemical dependency problems - Uses the same group of individuals with a before/after measurement - Requires a dependent variable for hypothesis testing - Is randomly selected from two dependent populationsSuppose that you are given two random variables x and y and you take measurements and obtain x1 = 2.3%, x2 = −7.6%, x3 = 0.1% and y1 = 60, y2 = 120, y3 = 80. Find the line of best fit y = α + βx. Calculate the correlation coefficient r and perform a left-tailed hypothesis test for r with significance level 10%. Based on this test, should we use this line to find the value of y when x = .5%?x y x2 y2 xy 2.3% 60 - 120 7.6% 0.1% 80