In an experiment to determine whether there is a systematic difference between the weightsobtained with two different mass balances, six specimens were weighed, in grams, on eachbalance. The following data were obtained:SpecimenAB113.7613.7412.4712.4510.0910.088.918.92513.5713.546.12.7412.75Can you conclude that the mean weight differs between the two balances?i). State the null and alternative hypotheses.ii). Compute the test statistic.iii). State a conclusion using the a = 0.05 level of significance.

Answered: Image /qna-images/answer/2ef1456a-650b-4f23-b838-6cc59d9715f6.jpg

Answered: In an experiment to determine whether…

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
Listed below are the overhead widths (in cm) of seals measured from photographs and the weights of the seals (in kg). The purpose of the study was to determine if weights of seals could be determined from overhead photographs. Is there sufficient evidence to conclude that there is a correlation between overhead widths and the weights of the seals? Use a significance level of α=0.05. a. Determine rs. rs= (Round to three decimal places as needed.) b. Determine the critical values. Critical values are (Round to three decimal places as needed. Use a comma to separate answers as needed.)
A statistical program is recommended. A paper gave the following data on n = 11 female black bears. Age(years) Weight(kg) Home-RangeSize (km2) 10.5 54 43.0 6.5 40 46.6 28.5 62 57.4 6.5 55 35.7 7.5 56 62.0 6.5 62 33.8 5.5 42 39.7 7.5 40 32.3 11.5 59 57.2 9.5 51 24.3 5.5 50 68.6 (a) Fit a multiple regression model to describe the relationship between y = home-range size and the predictors x1 = age and x2 = weight. (Round your numerical values to four decimal places.) = (b) If appropriate, carry out a model utility test with a significance level of 0.05 to determine if at least one of the predictors age and weight is useful for predicting home range size. State the null and alternative hypotheses. H0: ?1 = ?2 = 1Ha: at least one of ?1 or ?2 is not 1.H0: At least one of ?1 or ?2 is not 1.Ha: ?1 = ?2 = 1 H0: ?1 = ?2 = 0Ha: at least one of ?1 or ?2 is not 0.H0: At least one of ?1 or ?2 is not 0.Ha: ?1 = ?2 = 0 Calculate the test…
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.
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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 B 1 13.76 13.74 2 12.48 12.45 3 10.09 10.08 4 8.91 8.98 5 13.57 13.54 6 12.70 12.75 Can you conclude that the mean weight differs between the two balances? Use the α = 0.05 level of significance.
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…
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