The following data from a random sample on tensile strengths of liner specimens are reported: No With fusion fusion 2400 3027 3200 2700 2655 2822 3220 3100 3125 2511 2999 2910 3555 2991 3010 2902 3020 2900 2999 3400 Do the two methods result in different tensile strengths? Test at 0.01 level of significance
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- Refer to laserjeans.xlsx to answer the questions below. These real data come from Ondogan, Z., Pamuk, O., Ondogan, E. N., & Ozguney, A. (2005). Improving the appearance of all textile products from clothing to home textile using laser technology. Optics and Laser Technology, 37, 631-637. Researchers sought to test the differences in tensile strength of jeans designed by hand versus those designed with lasers. 1. What type of measurement scale do each of the five variables use? 2. Create histograms for those that are continuous (interval or ratio). How would you describe the shape of these distributions? 3. A textile researcher wants to simplify the strength data by turning this continuous variable into an ordinal variable with 10 equal interval widths. Given that the lowest force resulting in a rip was 860 N, and the greatest force resulting in a rip was 1,450 N, what should the interval widths (also called bins or breaks) be? Fill in the second column of the…21 smooth/yellow 42 smooth/light-yellow 19 smooth/white 22 wrinkled/yellow 39 wrinkled/light-yellow 20 wrinkled/white Calculate the Chi Sqaure statistic of the data shown above:Tensile strength tests were carried out on two different grades of wire rod, resulting in the accompanying data. Sample Mean (kg/mm²) Grade AISI 1064 AISI 1078 Sample Size m = 128 n = 128 Ho: M1064 M1078 = -10 Ha: M1064-H1078 ≤ -10 (a) Does the data provide compelling evidence for concluding that true average strength for the 1078 grade exceeds that for the 1064 grade by more than 10 kg/mm²? Test the appropriate hypotheses using a significance level of 0.01. State the relevant hypotheses. O Ho: M1064 M1078 = -10 Ha: M10641078 # -10 Ho: M1064 M1078 = -10 Ha: M1064-H1078 ² -10 Ho: M10641078 = -10 Ha: M10641078 > -10 Sample SD Ho: M1064- 1078 = -10 Ha: M10641078 < -10 x = 104.7 S₁ = 1.1 y = 124.1 S₂ = 2.2 Calculate the test statistic and 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. O Reject Ho. The data does not suggest that the true average strength for the 1078 grade exceeds…
- Shear strength measurements derived from unconfined compression tests for two types of sols gave the results shown in the following table (measurements in tons per square foot). Do the soils appear to differ with respect to the variation of the shear strength, at the 10% significance level? Soil Soil Type Турe l II sample size 10 sample 1.57 1.92 mean sample std dev 0.17 0.22 Let the strength measurement of soil type I be the first population and the strength measurement of soil type II be the second. a. Choose the answer : 1) Alternative Hypothesis: The population variation of the shear strength for soil type l is > that of soil type I. 2) Alternative Hypothesis: The population variation of the shear strength for soil type I is < that of soil type II. 3) Alternative Hypothesis: The sample variation of the shear strength for soil type l is not equal to that of soil type II. 4) Alternative Hypothesis: The population variation of the shear strength for soil type l is not equal to that of…The article “Effect of Internal Gas Pressure on the Com- pression Strength of Beverage Cans and Plastic Bottles” (J. of Testing and Evaluation, 1993: 129–131) includes the accompanying data on compression strength (lb) for a sample of 12-oz aluminum cans filled with strawberry drink and another sample filled with cola. Does the data suggest that the extra carbonation of cola results in a higher average compression strength? Base your answer on a P-value. What assumptions are necessary for your analysis? ( use ? = 0.01 )Using test data on 43 vehicles, an analyst fitted a regression to predict CityMPG (miles per gallon in city driving) using as predictors Length (length of car in inches), Width (width of car in inches), and Weight (weight of car in pounds). R2 Adjusted R2 R Std. Error ANOVA table Source Regression Residual 0.682 0.658 n 0.826 k 2.558 Dep. Var. Regression output variables Intercept Length (in) Width (in) Weight (lbs) SS 547.3722 255.0929 802.4651 The regression is df 39 42 Coefficients 39.4492 -0.0016 -0.0463 -0.0043 43 3 CityMPG MS 182.4574 6.5408 Std. Error 8.1678 0.0454 0.1373 0.0008 F 27.90 t Stat 4.830 -0.035 -0.337 -5.166 based on the Fcalc and p-value p-value 8.35E-10 p-Value 0.0000 0.9725 0.7379 0.0000 confidence interval Upper 95% 55.9701 0.0902 0.2314 -0.0026 Lower 95% 22.9283 -0.0934 (a) Referring to the Fstatistic and its p-value, what do you conclude about the overall fit of this model? -0.3239 -0.0060 VIF 2.669 2.552 2.836
- To investigate serotonin's role in suicidal behavior, the amounts of serotonin metabolites in the cerebral spinal fluid of 15 violent suicide attempters is compared to levels found in a group of 20 nonviolent suicide attempters the normal/high and the two groups are compared. These data would MOST appropriately be analyzed with a(n): a. paired-smaples t test b. factorial ANOVA c. chi-square test for independence d. independent-samples t testA severe storm has an average peak wave beight of 16,4 feet for waves hitting the shore. Suppose that a storm is in progress with a severe storm class rating. Let us say that we want to set up a statistical test to see if the wave action (i.e., height) is dying down or getting worse. If you wanted to test the hypothesis that the waves are dying down, what would you use for the alternate hypothesis? Is the P-value area on the left, right, or on both sides of the mean? O H:a is less than 16.4 feet; the P-value area is on the left of the mean O H:u is less than 16.4 feet; the P-value area is on the right of the mean O H: u is greater than 16.4 feet; the P-value area is on the right of the mean OH:u is not equal to 16.4 feet: the P-value area is on the left of the mean OH : u is not cqual to 16.4 feet; the P-value area is on the right of the meanA quality control supervisor has taken a sample of 16 bolts from the output of a thread-cutting machine and tested their tensile strengths. The results in tons of force required for brekage, are as follows: 2.20 1.95 2.15 2.08 1.85 1.92 2.23 2.19 1.98 2.07 2.24 2.31 1.96 2.30 2.27 1.89 (a) Determine the mean, median, range and midrange. (b) Calculate the mean absolute deviation (c) Calculate the standard deviation and variance. (d) Calculate the coefficient of skewness. (e) what is the i. 75th percentile ii. 68th percentile and 6th decile.
- Tennis elbow is thought to be aggravated by the impact experienced when hitting the ball. The article Forces on the Hand in the Tennis One-Handed Backhand reported the force (Newtons) on the hand just after impact on a one-handed backhand drive for six advanced players and for eight intermediate players. Type Of player Size Mean SD Advanced 8 45.3 12.1 Intermediate 10 22.4 10.2 1) Calculate a 95% CI for the difference of true average for advanced players (µ1) and the true average for intermediate players (µ2). 2) Does your interval provide good evidence for concluding that the two µs are different? 3) Would you have reached the same conclusion by calculating a CI for µ2 − µ1 (i.e., by reversing the 1 and 2 labels on the two types of players)? ExplainA clinical study was conducted on a medicine and the data obtained as follows: calculate Sensitivity Diseased •True Positive: 1000 •True negative: 50 Non diseased •True positive: 100 •True negative: 800The yield of alfalfa from a random sample of six test plots is 1.4, 1.6, 0.9, 1.9, 2.2,and 1.2 tons per acre. Assume the data can be looked upon as a sample from anormal population. Test at the 0.05 level of significance whether this supports thecontention that the average yield for this kind of alfalfa is 1.5 tones per acre.
