Samples of three kinds of materials, subjected to extreme temperature changes, produced theresults shown in the following table:Material A | Material BMaterial C| TotalDamaged42252390Not damaged805278210Total12277101300Use the 0.05 level of significance to test whether the probability of getting damaged is thesame for the three kinds of materials. Use 3 decimal places in your computations of the x² teststatistic.

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Answered: Samples of three kinds of materials,…

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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Six different machines are being considered for use in manufacturing rubber seals. The machines are being compared with respect to tensile strength of the product. A random sample of four seals from each machine is used to determine whether the mean tensile strength varies from machine to machine. The following are the tensile-strength measurements in kilograms per square centimeter × 10-1: Machine 1 2 3 4 5 17.5 16.4 20.3 14.6 17.5 18.3 16.9 19.2 15.7 16.7 19.2 16.2 15.8 17.7 17.8 20.8 16.5 17.5 18.6 15.4 18.9 18.9 20.5 20.1 1. Determine SST in two decimal places. Blank 1 2. Determine SSA or SSB in two decimal places Blank 2 3. Determine SSE in two decimal places. Blank 3 4. Determine f calculated in two decimal places. Blank 4 5. Determine f table. Blank 5 6. Is there any significant difference between the machines' tensile strength readings? yes or no. Blank 6
A researcher wants to determine if the exam scores of the students are dependent on the length of time spent in studying the subject. Ten students in a certain class were taken and the results are shown in the table below where X is the time spent in studying the subject in hours and Y is the examination scores.If a test for the significance of r is conducted, using 5% level of significance ,what is the value of the t statistic?
You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At a = 0.05, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed Ha μ#31 33 26 (b) Use technology to find the P-value. 25 30 28 38 33 36 H₂ μ31 EN 25 28 310 24
The table shows population statistics for the ages of Best Actor and Best Supporting Actor winners at an awards ceremony. The distributions of the ages are approximately bell-shaped. Compare the z-scores for the actors in the following situation. Best Actor Best Supporting Actor µ= 42.0 µ= 51.0 o = 8.7 o = 12 In a particular year, the Best Actor was 40 years old and the Best Supporting Actor was 77 years old. Determine the z-scores for each. Best Actor: z %3D Best Supporting Actor: z = (Round to two decimal places as needed.) Interpret the z-scores. The Best Actor was the mean, which unusual. The Best Supporting Actor was the mean, which unusual.
In one-way analysis of variance, the F ratio is computed by: Select one: a. dividing the sum of squares between groups by the sum of squares within groups O b. dividing the sum of squares within groups by the sum of squares between groups O c. dividing the mean square between groups by the mean square within groups O d. dividing the mean square within groups by the mean square between groups
Kindergarten students were participants in a study investigating fine motor skills of 37 children. The children had their fine motor skills measured before the study (a combination of hand use, eye-hand coordination, and manual dexterity) and again after undergoing 7 months of occupational therapy. With the instrument used, high scores indicated stronger fine motor skills. Summary statistics are given below: Difference n Sample Diff Std. Err. Min Max d = Pre - Post 37 -7.8109 2.0715 -36 9 Determine what positive and negative differences mean regarding a student's fine motor skills. Pay attention to the order of subtraction in the output. A positive difference means the Select an answer post-test pre-test score was greater than the Select an answer post-test pre-test , implying fine motor skills were Select an answer weakened strengthened over the 7 months. A negative difference means the Select an answer post-test pre-test score was greater than the Select an answer…
The table shows population statistics for the ages of Best Actor and Best Supporting Actor winners at an awards ceremony. The distributions of the ages are approximately bell-shaped. Compare the z-scores for the actors in the following situation. Best actor Best supporting actor u= 41.0 u=55.0 Q= 7.7 Q= 12 In a particular year, the Best Actor was 44 years old and the best supporting actor was 42 years old. Determine the z-scores for each. best actor z=____________ best supporting actor z=___________ Round to two decimal places as needed.
Each observation in a random sample of 98 bicycle accidents resulting in death was classified according to the day of the week on which the accident occurred. Data consistent with information are given in the following table. x² Day of Week Frequency = Sunday Monday Tuesday Wednesday Thursday Friday Saturday 13 12 12 14 13 18 Based on these data, is it reasonable to conclude that the proportion of accidents is not the same for all days of the week? Use a = 0.05. Calculate the test statistic. (Round your answer to two decimal places.) 16 Use technology to calculate the P-value. (Round your answer to four decimal places.) P-value = State the conclusion in the problem context. O Reject Ho. We have convincing evidence that the proportion of accidents is not the same for all days of the week. O Fail to reject Ho. We have convincing evidence that the proportion of accidents is not the same for all days of the week. ● Fail to reject Ho. We do not have convincing evidence that the proportion…
3. Can SAT scores predict college performance? Let x be a variable that represents SAT score of a computer science major, and let y be a variable that represents a student’s GPA upon graduation. A random sample of n =15 computer science majors provided their SAT scores and GPAs: x 1232 1070 1086 1287 1130 1048 1121 1095 1135 1208 1333 1160 1186 1243 1261 y 3.52 2.91 2.4 3.47 3.47 2.37 2.4 2.24 3.02 3.32 3.59 2.54 3.19 3.71 3.58 The scatter diagram for the SAT score and GPA is given below: (a) Find the sample correlation coefficient r. Truncate to two decimal places. What does the value tell you about the data? (b) Find the equation of the least squares line . Truncate to four decimal places. What does the slope mean? (c) Find the value of the coefficient of determination . Truncate to two decimal places. What does this number mean? (d) What is the predicted GPA if a computer science major got a…
The age of first marriage for women who responded to a survey by the CDC between 2006 and 2010 is used here. The women who first married in their twenties were randomly divided into three groups: A, B, and C. The ANOVA output is supplied below: Count NAS (Missings) 3773 group Count A 1288 B 1246 C 1239 Frequency Source DF 2 group Residual 3770 28 26 24 Response Variable (age) Summary Mean 22 20 T 0 Group Variable Summary NAS Mean (Missings) 23.73787 A 0 23.76941 0 23.77929 0 23.66344 ANOVA Table: age-group Sum of Squares 10.283 26969 Mean Square Std. Dev. Std. Dev. 2.674442 B F Value Pr>F MSG 0.71875 0.48743 MSE Age of First Marriage in 20's 2.728097 2.664101 2.628699 C
Each car in a random sample of 170 cars sold in 2010 at a large car dealership was classified by color. Sixty of the cars were white, 80 were blue, 20 were silver and 10 were red. What is the value of the chi-square test statistic in a test of Ho: Pw=Pb=Ps=Pr=0.25 A. 18 B. 32 C. 56 D. 77 E. 110
A random survey is collected on the number of children of different age groups who play in government parks and the information is tabulated in the frequency distribution given below: Age (years) Number of children 1 - 2 8 2 - 4 10 4 - 7 18 7 - 9 10 9 - 11 12 11 -15 6…

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