You are given the values of sample means (X) and the range (R) for ten samples of size 5 each. Draw mean and range charts and comment on the state of control. 10 Sample No. : 1 2 7 8 9. 43 49 37 44 45 37 51 46 43 47 5 6. 7 7 8 6. 4 : Given n= 5, D3 = 0, D4 = 2.115, A2 = 0.58. 4.
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- The tests of assumptions for yield gave values for Levene’s statistic and Shapiro-Wilk’s as 0.0562 and .00271, respectively. At a=0.05 , which statistical test is most appropriate to compare the yield among the nitrogen rates? a. Cochran’s Q B. Friedman’s C. Kruskal Wallis test . D. Anova F-testA horticulture student is interested on the antifungal properties of three plant species. Leaf extracts from each species were mixed with agar based growth medium and poured into 5 Petri dishes. The Petri dishes were streaked with fungi isolates and the area in sq mm of fungal growth was measured after seven days. Assuming the areas of growth are not normally distributed, which is the most appropriate analysis for the experiment to find difference? A. Kruskal Wallis B. Friedman C. t-test D. sign testLet ?1 denote true average tread life for a premium brand of P205/65R15 radial tire, and let ?2 denote the true average tread life for an economy brand of the same size. Test H0: ?1 − ?2 = 5000 versus Ha: ?1 − ?2 > 5000 at level 0.01, using the following data: m = 45, x = 42,100, s1 = 2400, n = 45, y = 36,200, and s2 = 1800.Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. Fail to reject H0. The data does not suggest that the difference in average tread life exceeds 5000.Reject H0. The data suggests that the difference in average tread life exceeds 5000. Fail to reject H0. The data suggests that the difference in average tread life exceeds 5000.Reject H0. The data does not suggest that the difference in average tread life exceeds 5000.
- Let ?1 denote true average tread life for a premium brand of P205/65R15 radial tire, and let ?2 denote the true average tread life for an economy brand of the same size. Test H0: ?1 − ?2 = 5000 versus Ha: ?1 − ?2 > 5000 at level 0.01, using the following data: m = 45, x = 42,100, s1 = 2400, n = 45, y = 36,200, and s2 = 1800. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. Fail to reject H0. The data does not suggest that the difference in average tread life exceeds 5000.Reject H0. The data suggests that the difference in average tread life exceeds 5000. Fail to reject H0. The data suggests that the difference in average tread life exceeds 5000.Reject H0. The data does not suggest that the difference in average tread life exceeds 5000.A z-score of –1.6 has a corresponding Stanine score of:You need to test whether the average mealtime spending of American tourists (population 1) is greater than that for British tourists (population 2). Assume that you have a sample of n1=7 with sample mean X1=40 and a sample standard deviation of S1=6, and you have an independent sample of n2=16 from another population with a sample mean of X2=31 and sample standard deviation S2=5. Complete parts (a) to (d). Click here to view page 1 of the table of the critical values of t. LOADING... Click here to view page 2 of the table of the critical values of t. LOADING... a. What is the value of the pooled-variance t test statistic for testing? t=enter your response here (Type an integer or a decimal rounded to two decimal places as needed.) b. In finding the critical value of the test statistic t, how many degrees of freedom are there? There are enter your response here degrees of freedom. c. Using a significance level of α=0.01, what is the critical value for a…
- The diameter of a metal shaft used in a disk-drive unit is normally distributed with mean 0.2508 in. and std. dev. 0.0005 in. The specification on the shaft have been established as (0.25-0.0015 in, 0.25+0.0015in) If the process mean has been adjusted to 0.25 in, what fraction of the shafts produced does NOT conform to specifications? a). 0.0027 b). 0.0013 c).0.08 d). 0.16Your company manufactures plastic wrap for food storage. The tear resistance of the wrap, denoted by X, must be controlled so that the wrap can be torn off the roll without too much effort but it does not tear too easily when in use. In a series of tests (see data table below), 15 rolls of wrap are made under carefully controlled conditions and the tear resistance of each rool is measured. The results are used as the basis of a quality assurance specification. If X for a subsequently produced roll falls more than two standard deviations away from the test period average, the process is declared out of specification and production is suspended for routine maintenance. Roll 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 X 134 131 129 133 135 131 134 130 131 136 129 130 133 130 133 a)What is the mean tear resistance? Enter your answer to the correct number of significant figures. b)What is the…As a bonus assignment a former student checked if your professor gave a statisticallysignificant difference in grades between his male and female students. She based herstudy based on grades assigned in intermediate Econ courses (Econ 303, 305 and 317)and her sample included nm = 485 male students and nf = 264 female students. Theaverage grades received were xm = 84.6 and xf = 85.8 The population standad deviation were σ m = 12.0 and σ f = 11.4 8. From the same extra-credit study as in question 7 see above, this former student found that the proportion of female students in principle courses (Econ 203, 205) was ?̅? = 0.380, while the proportion of female students in intermediate courses (Econ 303, 305, 317) was ?̅? = 0.352. The principle courses sample size was np = 782, while the intermediate courses sample size was ni = 749. Test the hypothesis that female students are less in intermediate courses using a 90% confidence level and the p-value approach.
- The following data are values of pressure (psi) in a torsion spring for several settings of the angle between the legs of the spring in a free position. Also presented is the ANOVA result.a.1. Solve for the Bartlett’s computed value. a.2. Solve for the Bartlett’s critical value using α = 0.01. a.3. Conclude if the variances are equal.A sample is counted for 10 minutes and results in 530 gross counts. A 30-minute background count results in 1,500 counts. The detector efficiency is 0.10 cpm/dpm. What is the critical level (net count rate) that corresponds to a risk of making a Type I error, where α is 0.05? a. 3.0 cpm b. 4.2 cpm c. 50 cpm d. 53 cpmA metal company is supplying its product to a manufacturer of washing appliances that has specified that the outside diameter be 0.255 + 0.028 inch. Fifty samples of n = 5 units show that the process is in good statistical control, the diameters are normally distributed, and that μx and σx for the process are 0.260 and 0.02 inch, respectively. a) What percent of the product made by this process is within the specifications? Answer in 2 decimal placesb) If the process variability was reduced by about half (i.e., σx changed to 0.01 inch), what percent of the product made by this process is within the specifications? Answer in 2 decimal places.