The following data (in pounds), which were selected randomly from a normally distributed population of values, representmeasurements of a machine part that is supposed to weigh, on average, 8.3 pounds.8.18.48.38.28.58.68.4B.38.48.28.88.28.28.38.18.38.4B.58.58.7Appendix A Statistical TablesUse these data and a - .01 to test the hypothesis that the parts average 8.3 pounds. (Round the sample mean to 2 decimal places. Roundthe value of s to 2 decimai places. Round your answer to 2 decimal places.)The value of the test statistic is t=and we

Assume that μ defines the true average weight of machine parts.

Answered: The following data (in pounds), which…

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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Listed below are the measured radiation absorption rates ( in 5 - number summary . W/kg) corresponding to 11 cell phones . Use the given data to construct a boxplot and identify the 1.49,1.25, 1.38, 1.04, 1.46, 1.31, 1.28, 0.73, 1.41, 0.58, 1.36
In an experiment to determine whether there is a systematic difference between the weights obtained with two different scales, 10 rock specimens were weighed, in grams, on each scale. The following data were obtained: Specimen Weight on Scale 1 Weight on Scale 2 1 13.36 13.19 2 16.80 16.43 3 9.75 9.52 4 11.03 11.47 5 26.00 26.22 6 10.80 10.73 7 14.68 14.74 8 6.60 6.72 9 13.02 12.95 10 22.29 22.64 Let μ1 represent the mean weight on Scale 1 and =μd−μ1μ2.Can you conclude that the the mean weight on Scale 1is less than the mean weight on Scale 2? Use the = α0.05 level of significance. (a) State the null and alternate hypotheses. (b) Compute the test statistic. (c) State a conclusion.
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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The type of household for the U.S. population and for a random sample of 411 households from a community in Montana are shown below. Type of Household Percent of U.S.Households Observed Numberof Households inthe Community Married with children 26% 92 Married, no children 29% 121 Single parent 9% 31 One person 25% 102 Other (e.g., roommates, siblings) 11% 65 A) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to two decimal places. Round the test statistic to three decimal places.) B)Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)
Studies suggest that women who smoke during pregnancy affect the birth weights of their newborn infants. To study this issue further, a sample of 10 women smokers were asked to estimate the average number of cigarettes they smoke per day. In the following table are their estimates and the birth weight (in kgs) of their child. Average Number of Cigarettes per day Birth Weight of Child (in kilograms) 22 2.91 16 3.27 4 3.68 19 3.14 42 2.32 8 3.82 12 3.45 30 2.95 14 3.00 16 3.68 (b) Use R-Studio to find the least squares estimate of the linear model that expresses the birth weight of a child as a linear function of the average number of cigarettes mom consumes in a day. Use four decimals in each of your answers.Y^i = ? + - Xi(e) A expecting mother, who smokes, claims to smoke an average of 20 cigarettes in a day. Predict the weight of her newborn. Use two decimals in your answer.kilograms(f) The weight of the child born to the expecting mother mentioned in (e) was…
Solve the following 1.) The following data were obtained in a study of the relationship between the weight and chest size ofinfants at birth. Weight (lbs) Chest Size (cm) 5.64 29.5 4.41 26.3 9.0 32.2 11.32 36.5 7.08 27.2 8.86 27.7 4.74 28.3 8.82 30.3 7.61 28.7 Ans: a.) r= + 0.77 b.) t = 3.193
In an experiment to determine whether there is a systematic difference between the weights obtained with two different mass balances, six specimens were weighed, in grams, on each balance. The following data were obtained: Specimen A 1 14.86 14.83 2 9.44 9.41 3 11.99 11.99 4 9.27 9.26 5 6.13 6.13 13.78 13.76 It is reasonable to assume that the population of differences is approximately normal. A hypothesis test was carried out to determine if the mean weight differs between the balances. The results from this hypothesis test procedure carried out in Excel are presented below. You may use this information to answer the questions that follow. t-Test: Paired Two Sample for Means A B Mean 10.91166667 10.89666667 Variance 10.54093667 10.49502667 Observations 6 6 Pearson Correlation 0.999993349 Hypothesized Mean Difference df 5 t Stat 2.66556995 P(T<=t) one-tail 0.022292412 t Critical one-tail 2.015048373 P(T<=t) two-tail t Critical two-tail 0.044584824 2.570581836 a. Give the value of the…
The following table contains the number of grams of water and the number of grams of carbohydrate for a 100g sample from a random selection of raw foods. Use the data to answer the following questions. Water 83.93 80.76 87.66 85.20 72.85 84.61 83.81Carbs 15.25 16.55 11.10 13.01 24.27 14.13 15.11 a) Use your calculator to find the equation of the regression line in which the x is the number of grams of water, and y is the number of grams of carbohydrates. Use correct notation, and round the slope and y-intercept to three decimal places. b) What is the best-predicted value of the number of grams of carbohydrates in a sample that contains 75g of water? Explain how you predicted the value and why that prediction is the best-predictedvalue. Give your answer in terms of the original problem. What is the best-predicted value of the number of grams of carbohydrates in a sample that contains 50g of water? Explain how you predicted the value and why that prediction is the best-predicted value.…
Values of modulus of elasticity (MOE, the ratio of stress, i.e., force per unit area, to strain, i.e., deformation per unit length, in GPa) and flexural strength (a measure of the ability to resist failure in bending, in MPa) were determined for a sample of concrete beams of a certain type, resulting in the following data: MOE 29.7 33.1 33.6 35.2 35.4 36.2 36.2 36.3 37.4 37.8 Strength 5.8 7.1 7.2 6.2 8.0 6.9 7.1 7.7 6.7 6.4 МОЕ 38.6 38.7 39.7 40.9 42.7 42.7 43.6 45.7 45.9 46.8 Strength 7.1 6.4 8.0 8.9 8.3 8.8 7.9 9.6 7.3 7.6 МОЕ 47.9 49.2 51.6 62.7 69.7 79.6 80.1 Strength 9.8 7.7 7.8 11.5 11.4 11.9 10.6 Fitting the simple linear regression model to the n = 27 observations on x = modulus of elasticity and y = flexural strength given in the data above resulted in ý = 7.589, s, = 0.180 when x = 40 and ý = 9.749, s, = 0.255 for x = 60. The simple linear regression model also resulted in a value of s = 0.8718. (a) Explain why s, is larger when x = 60 than when x = 40. O The closer x is to…
he General Social Survey asked the question, "After an average work day, about how many hours do you have to relax or pursue activities that you enjoy?" to a random sample of 1,155 Americans. The average relaxing time was found to be 1.65 hours. G. What is D. What is the statistic given? Describe it in words and give the numerical value. E. Describe the parameter corresponding to the statistic from Part (D) in words.
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