In an experiment to determine the effect of curing time on compressive strength of concreteblocks, two samples of 15 blocks each were prepared identically except for curing time. Theblocks in one sample were cured for two days, while the blocks in the other were cured forsix days. The compressive strengths of the blocks, in MPa, are as follows:Cured 2 days (X):132613021314127012871328131812961306132912551310125512911280Cured 6 days (Y):138713011376139713991378134313491321136413321396137213411374Can you conclude that the mean strength is greater for blocks cured for six days?

Answered: Image /qna-images/answer/9079cb78-77f3-45c5-9131-df4dbfaa2228.jpg

Answered: In an experiment to determine the…

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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Concrete blocks to be used in a certain application are supposed to have a mean compressive strength of 1500 MPa. Samples of size 1 are used for quality control. The compressive strengths of the last 40 samples are given in the following table. Sample Strength 1487 1463 3 1499 1502 1473 1520 1520 1495 1503 10 1499 11 1497 12 1516 13 1489 14 1545 15 1498 16 1503 17 1522 18 1502 1499 1484 19 20 21 1507 22 1474 23 1515 1533 1487 1518 24 25 26 27 1526 28 1469 29 1472 30 1512 1483 1505 31 32 33 1507 34 1505 1517 1504 35 36 37 1515 38 1467 39 1491 40 1488 Previous results suggest that a value of o = 15 is reasonable for this process. a. Using the value 1500 for the target mean u,and the values k = 0.5 and h = 4, construct a CUSUM chart. b. Is the process mean in control? If not, when is it first detected to be out of control?
The weight percent of silicon in six different rock samples, each containing different amounts of silicon, was measured by two different methods. The results are given in the table. Sample Method A Si wt% Method B Si wt% 1 11.570 11.500 2 15.380 15.300 3 17.950 17.830 4 22.840 22.810 5 25.110 25.150 6 27.070 27.040 Determine tcalc. tcalc = Determine ttable at the 95% confidence level. A list of t values can be found in the Student's t table. ttable =
An article discussed the opening of a Market. The following data compared the prices of some kitchen staples at the new Market (group 1) and at the old Market (group 2) located 15 blocks away. ITEM GROUP 1 GROUP 2 HALF GALLON MILK 16.8 22.0 DOZEN EGGS 11.7 15.2 ORANGE JUICE (64OZ) 15.6 18.7 HEAD OF LETTUCE 16.7 15.6 1LB GROUND BEEF 17.5 20.8 6OZ TUNA 18.1 19.5 1LB APPLES 14.1 17.0 LINGUINI 21.8 19.5 SALMON STEAK 1LB 13.9 16.5 WHOLE CHICKEN PER LB 20.8 24.0 A. Use math symbol to formulate null hypothesis and alternative hypothesis to test whether there is evidence that the mean price is lower at Group 1 or Group 2. (use without calculator functions)
A sample of 12 male and 12 female students were surveyed and the amount spent on food last week were recorded. The results are summarized in the table below. Test for the hypothesis that the weekly amount spent on food of male and female students is the same, at a=0.10. Male Female 623 685 537 629 613 517 588 580 651 658 688 582 526 614 579 528 814 655 878 804 660 549 722 617 a. What are the null and alternative hypotheses?b. What is the critical value? (4 decimal points)c. What is the test statistic? (4 decimal points)e. Reject or accept null hypothesis?
For each of the questions 1-4, answer the following (a-h are steps in a Hypothesis Test, see page 376 of your ebook). For steps f and g do both the p-value method and the critical value method: a) Claim in English: b) Claim in Symbolic Form: c) Null and Alternate Hypothesis: d) Significance Level: e) Test Statistic: f) Find Values: g) Make a Decision: h) Restate the Decision in Nontechnical Terms: i) If this is a statistically significant result, is it also a practically significant result?
The percentage crude protein content of hay was determined based on 10 bale samples collected from each of four locations (plots as treatments) on a large ranch as follows: Plot A 12.8 13.4 11.2 11.6 9.4 10.3 14.1 11.9 10.5 10.4 b. Plot B 8.1 10.3 4.2 7.8 5.6 8.1 12.7 6.8 6.9 6.4 Plot C 9.8 10.6 9.1 4.3 11.2 11.6 8.3 8.9 9.2 6.4 Plot D 16.4 8.2 15.1 10.4 7.8 9.2 12.6 11.0 8.0 9.8 Set up and complete an ANOVA table for a one-way analysis. Show all work.
It is crucial to have a minimum weight difference for each bearing ball before they are assembled into the bearing races. Inspections are constantly being conducted by a factory manager for all production belts to ensure that the bearing balls are in the correct weights. At each round of inspection, five bearing balls are selected randomly from each belt and carefully weighed. A random sample of four inspection belts were selected. The results are as follows: Belt Weight of bearing ball (in grams) 1 1.22 1.23 1.22 1.24 1.23 2 1.21 1.20 1.22 1.20 1.20 3 1.20 1.20 1.19 1.19 1.21 4 1.19 1.18 1.18 1.18 1.20 a) State an appropriate model and its assumptions. b) By using an ANOVA test, determine whether the weight of bearing balls differs among the production belts? Use a = 0.10.
An article discussed the opening of a Market. The following data compared the prices of some kitchen staples at the new Market (group 1) and at the old Market (group 2) located 15 blocks away. ITEM GROUP 1 GROUP 2 HALF GALLON MILK 16.8 22.0 DOZEN EGGS 11.7 15.2 ORANGE JUICE (64OZ) 15.6 18.7 HEAD OF LETTUCE 16.7 15.6 1LB GROUND BEEF 17.5 20.8 6OZ TUNA 18.1 19.5 1LB APPLES 14.1 17.0 LINGUINI 21.8 19.5 SALMON STEAK 1LB 13.9 16.5 WHOLE CHICKEN PER LB 20.8 24.0 A. Using a 0.01 level of signifcance and the p-value approach, what is the p-value? And what is your conclusion? Interpret
Four machines M - Mawere each made with three different components B - Bg fitted. The average production capacities [kg / h] of the machines were determined for each component during a test phase. The following values were measured: machine 3 4th B 7.07 8.24 8.43 9.2 B2 9.1 7.98 8.87 8.11 6.07 7th 5.98 6.36 Determine whether there are significant differences in terms of components or machines and calculate the effect sizes, Normal distribution with the same variance can be assumed. Note: q = 14.9477, 1 = 11.0648, 9a =3.5125 Name of the test procedure: O One-way analysis of variance Ot-test for independent samples with homogeneous variances O Two-factor analysis of variance with repeated measures O Two-factor analysis of variance without repetition of measurements Significance level: O 0.5 O 0.05 O 0.01 Overall hypothesis H: O There are no significant differences in terms of components and machines O There are no significant differences in terms of components or machines O There are no…
MDM Farms grows normally distributed potatoes and is testing a new crop. After 4 months, 20 plants produce potatoes with the following weights (in kg): 0.7, 1.4, 1.4, 1.3, 0.3, 1.4, 0.6, 1.3, 1.3, 1.1, 0.9, 1.5, 1.1, 1.5, 0.6, 1.4, 1.1, 0.5, 0.6, 0.8 a. Find the mean and standard deviation of the sample. b. What percent of potatoes grown from this crop will be over 2 kg?
Only answer the questions typed: A. indicate whether it's one or two sidedB. Indicate whether it's a test of means or proportionsC. Write out the expression for determining the P-value
Six samples of each of four types of cereal grain grown in a certain region were analyzed to determine thiamin content, resulting in the following data (µg/g). Wheat 5.2 4.4 6.1 6.2 6.6 5.8 Barley 6.5 7.9 6.0 7.6 6.0 5.7 Maize 5.8 4.6 6.4 4.9 6.0 5.2 Oats 8.4 6.2 7.8 7.1 5.4 7.2 USE SALT Does this data suggest that at least two of the grains differ with respect to true average thiamin content? Use a level α = 0.05 test. State the appropriate hypotheses. | H₂: M₁ = H₂ = H3 = H4 H₂: all four μ's are unequal • Ho: M₁ = H₂ = H3 = H4 H₂: at least two μ's are unequal ⒸH₂² H₁ H₂ H3 H4 # H: all four μ's are equal O Ho: M₁ #M₂ #H3 H4 H₂: at least two μ's are equal Compute the test statistic value. (Round your answer to two decimal places.) f = What can be said about the P-value for the test? O P-value > 0.100 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O 0.001 < P-value < 0.010 O P-value < 0.001 State the conclusion in the problem context. O Reject Ho. There is not significant evidence…

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