MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- 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 11.23 11.27 2 14.36 14.41 3 8.33 8.35 4 10.50 10.52 23.42 23.41 9.15 9.17 13.47 13.52 8 6.47 6.46 12.40 12.45 10 19.38 19.35 Can you conclude that the mean weight on scale 2 is greater than the mean weight on scale 1?arrow_forwardIn 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 12.35 12.96 2 15.94 16.43 3 9.00 8.77 4 11.76 11.99 5 24.36 24.11 6 10.52 10.27 7 14.14 14.60 8 7.38 7.11 9 13.39 13.07 10 21.51 20.90 Send data to Excel Let μ1 represent the mean weight on Scale 1 and =μd−μ1μ2 .Can you conclude that the mean weight on Scale 1 is greater than the mean weight on Scale 2? Use the =α0.05 level of significance. Step1: State the null and alternate hypotheses. Step 2: Choose a significance level and find the critical value. Step 3: Compute the test statistic. Step4: Determine whether to reject H0 .arrow_forwardIn an experiment to determine whether there is asystematic difference between the weightsobtained with two different scales, 10 rockspecimens were weighed, in grams, on eachscale. The following data were obtained: Specimen weight scale 1 weight scale 2 1 11.23 11.27 2 14.36 14.41 3 8.33 8.35 4 10.50 10.52 5 23.42 23.41 6 9.15 9.17 7 13.47 13.52 8 6.47 6.46 9 12.40 12.45 10 19.38 19.35 Can you conclude that the mean weight differsbetween the scales? Use a 1% level ofsignificance. Assume that the weights arenormally…arrow_forward
- 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.arrow_forwardIn 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 12.13 12.85 2 15.51 17.29 3 9.83 9.52 4 12.39 11.30 5 27.64 23.88 6 10.80 9.35 7 15.89 13.79 8 6.99 6.98 9 13.39 13.45 10 21.90 20.9 Send data to Excel Let μ1 represent the mean weight on Scale 1 and =μd−μ1μ2 .Can you conclude that the the mean weight on Scale 1 is greater than the mean weight on Scale 2? Use the =α0.01 level of significance and the TI-84 Plus calculator to answer the following. p value do we reject is there enough evidenc earrow_forwardIn 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: 1 2 3 4 5 6 7 8 9 10 Weight on scale 1 11.14 14.38 8.33 10.50 24.44 9.12 13.46 6.44 12.41 18.35 Weight on scale 2 11.20 14.43 8.39 10.53 24.41 9.16 13.50 6.43 12.44 18.34 Construct a 99% confidence interval for mean difference in weight between the two scales. Interpret the results.arrow_forward
- A new machine is set or calibrated to fill tubes of toothpaste at precisely 6.75 ounces. Then, once the machine is running, a sample of six tubes is taken every three hours and weighed with the following results: WEIGHT OF TOOTHPASTE Time 7 am 6.69 6.68 6.79 6.77 6.74 6.76 10 am 6.71 6.72 6.71 6.76 6.75 6.74 1 pm 6.66 6.68 6.67 6.71 6.76 6.78 4 pm 6.73 6.74 6.72 6.76 6.78 6.75 7 pm 6.75 6.73 6.75 6.77 6.79 6.75 The measurement of quality is based on _______. A. a scale B. an attribute C. a chart D. a variablearrow_forward2) In an experiment to determine whether there is a systematic difference between the weights obtained two different mass balances, six specimens were weighed, in grams, on each balance. The following were obtained: Specimen 1 2 3 4 5 6 A 12.31 9.60 10.06 6.21 6.49 10.30 B 12.34 9.58 10.07 6.20 6.47 10.29 State the hypotheses and compute the test statistic. D = A - Barrow_forward--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 was obtained: 1 2 3 4 5 6 7 8 9 10 Weight on scale 1 11.14 15.38 8.33 10.30 23.44 9.13 13.46 6.44 12.51 19.35 Weight on scale 2 11.2 15.43 8.39 10.33 23.41 9.14 13.50 6.43 12.54 19.34 Construct a 96% confidence interval for the mean difference in weight between the two scales. Interpret the results. INTERPRET THE RESULTSarrow_forward
- 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…arrow_forwardPlease solve for p value ,determine weather to reject hypothesis and state the conclusion for enough evidencearrow_forwardWhat values are specified by the null hypothesis for a chi-square test? A. Frequencies for a sample B. Frequencies for a population C. Proportions for a sample D. proportions for a populationarrow_forward
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