5. Two different analytical tests are used to determine the impurity level in steel alloys. Tenspecimens are tested using both procedures, and results are tabulated as follows:SpecimenTest 11.3Test 21.51.41.21.21.31.81.61.51.36.1.71.41.81.41.41.31.31.6101.51.7Assume the impurity levels are normally distributed, construct a 95% confidence intervalfor the ratio of variances of impurity levels measured using the two different analyticaltests.ii.Based on your answer in part (a), are you 95% confident that the variances of impuritylevels are different when measured using different analytical tests? Verify your answer.1234 n0709

Given: Specimen Test1 Test2 1 1.3 1.5 2 1.4 1.2 3 1.2 1.3 4 1.6 1.8 5 1.5 1.3 6…

Answered: 5. Two different analytical tests are…

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 legal case rested on whether a patent witness' signature was written on top of key text in a notebook or under the key text. The zinc measurements for three notebook locations on a text line, on a witness line, and on the intersection of the witness and text line-are provided in the table below. Complete parts a through c below. Text line Witness line 0.319 0.384 0.327 Intersection Find the test statistic. HT-1400 0.321 0.307 0.327 t = (Round to two decimal places as needed.) Find the p-value. p-value= (Round to three decimal places as needed.) a. Use a test (at a = 0.02) to compare the mean zinc measurement for the text line with the mean for the intersection. Let μ represent the mean zinc measurement for the text line, let uw represent the mean zinc measurement for the signature of a patent witness, and let μ, represent the mean zinc measurement for the intersection line. Select the correct hypotheses below. OA. Ho: HT-Hw=0, H₂: HT μ₁0 OB. Ho: HT-H₁0, H₂: HT-H₁0 O C. Ho: HT-HW = 0,…
3. Suppose that the inside diameter of bulb lamp manufactured by a company are normally distributed with a sample of 200 bulb lamps, µ = 0.502 inches, and o = 0.005 inches. A bulb lamp will be considered defective if its diameter is less than 0.496 inches or greater than 0.508 inches. What is the percentage of defective bulb lamp produced by the company? What did the answer indicate?
Four brands of lightbulbs are being considered for use in the final assembly area of the Ford F-150 truck plant in Dearborn, Michigan. The director of purchasing asked for samples of 100 from each manufacturer. The numbers of acceptable and unacceptable bulbs from each manufacturer are shown below. At the .05 significance level, is there a difference in the quality of the bulbs? (Round your answers to 3 decimal places.) H0: There is no relationship between quality and manufacturer. H1: There is a relationship. 1. Reject H0 if X2 >____ 2. X2 = ____ (Reject or Do Not Reject) H0. Ther (is a/is no) relationship between quality and manufacturer.
A college administrator wants to know if there is a significant difference between sexual orientation and level of family support for students at their college. The administrator takes a random sample of students who identify as gay/lesbian, bisexual or heterosexual/straight. There were 22 students sampled in each category. A measure of family support is given with higher scores indicating more family support. The means are as follows: Gay/lesbian Bisexual Heterosexual/Straight MG/L = 16 MBi = 17 MH/S = 22 Source SS df MS F Orientation 300 Error 2961 Total What is the value of df total?
Samples were collected from two ponds in the Bahamas to compare salinity values (in parts per thousand). Several samples were drawn at each site. Pond 1: 37.03, 37.45, 36.75, 37.54, 37.71, 37.02, 37.32 Pond 2: 38.89, 39.05, 38.51, 38.53, 38.71 Use a 2% significance level to test the claim that the two ponds have the same mean salinity value. Assume that nothing is known about the population distribution of salinities. (a) Enter the rank values in the same order as in the original sample. The rank values for Pond 1 are: The rank values for Pond 2 are: (b) The test statistic is: . (c) The test critical value is: . (d) The conclusion isA. There is not sufficient evidence to indicate that the two ponds have different distributions of salinity values.B. There is sufficient evidence to indicate that the two ponds have different distributions of salinity values.
In a study conducted in Italy, 10 patients with hypertriglyceridemia were placed on a low-fat, high-carbohydrate diet. Before the start of the diet, cholesterol and triglyceride measurements were recorded for each subject. Patient Cholesterol Level (mmol/l) Triglyceride level (mmol/l) 1 5.12 2.30 2 6.18 2.54 3 6.77 2.95 4 6.65 3.77 5 6.36 4.18 6 5.90 5.31 7 5.48 5.53 8 6.02 8.83 9 10.34 9.48 10 8.51 14.20 a. Construct a two-way scatter plot for these data. b. Use STATA to calculate Pearson’s Correlation Coefficient for these data. c. Test, α = 0.05, whether or not the population correlation, ρ, equals 0.
Several methods of estimating the number of seeds in soil samples have been developed by ecologists. An article gave the accompanying data on the number of seeds detected by the direct method and by the stratified method for 27 soil specimens. Specimen 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Direct 21 33 0 60 20 61 40 8 13 93 1 68 77 21 Stratified 8 37 8 57 53 61 28 8 8 100 0 57 68 53 Specimen 15 Find the test statistic. (Round your answer to two decimal places.) t = 16 17 18 19 20 21 22 23 24 25 26 27 Direct Find the df. (Round your answer down to the nearest whole number.) df = 33 0 37 17 93 1 40 21 0 8 13 Use technology to find the P-value. (Round your answer to four decimal places.) P-value = 17 40 Stratified 28 0 37 13 93 13 48 21 0 13 40 Do the data provide sufficient evidence to conclude that the mean number of seeds detected differs for the two methods? Test the relevant hypotheses using a = 0.05. (Use direct stratified.) 13 77
A group of 100 people, who lived at varying distances (in kilometers) from an island nuclear power station, were asked if they thought a full evacuation of the area was required, when it went critical. The researches wanted to know if the opinion to evacuate or not depended on how far from the reactor people lived. Partial results of the questionnaire are shown in the table below. 0-3 km distance 3 -6 km distance 6 -9 km distance 9- 12 km distance Totals Evacuation needed X X X 51 Evacuation not X X XX needed Totals 28 28 23 XX XX You are doing a Chi Square test for independence. What is the expected value of the number of people living within a radius of 0-3 km who would say that evacuation was needed? XX denotes row/column totals. Give your answer to 2 decimal places.

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