I2 3 436 78 9 12 13 Day MeasurementI 91 93 88 90 93 115 89 93 93 92 95 93 87 89 93 Measurement2 80 82 81 79 81 125 80 77 78 45 81 10 11 14 15 80 80 80 81 Question: Consider the hypothesis test H°: u1=µ2 against µ1#u2, a= .005; the p-value for the test is:
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- The x-bar and R values for 20 samples of size five are shown in the following table. Specifications on this product have been established as 0.550 ± 0.02.Sample NumberXbarR10.5490.002520.5480.002130.5480.002340.5510.002950.5530.001860.5520.001770.550.00280.5510.002490.5530.0022100.5560.0028110.5470.002120.5450.003130.5490.0031140.5520.0022150.550.0023160.5480.0021170.5560.0019180.5460.0018190.550.0021200.5510.0022Construct a modified control chart with three sigma limits, assuming that if the true process fraction non conforming is as large as 1%, the process is unacceptable.Suppose that if the true process fraction nonconforming is as large as 1%, we would like an acceptance control chart to detect this out of control condition with probability 0.90. Construct this acceptance control chart and compare it to the chart obtained in part (a).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 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 .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 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 e
- Given the following data and using Jamovi, test (at an alpha of 0.05) whether type of music influences heart rate (measured in beats per minute, bpm). Participant Rock Classical Heavy Metal ROW MEANS = 1 70 64 90 74.67 2 78 69 85 77.33 3 80 72 67 73 4 82 65 100 82.33 5 81 67 120 89.33 6 80 58 98 78.67 GROUP MEANS = 78.5 65.83 93.33 Total mean = 79.22 What are the degrees of freedom for between persons? ________ What is the critical value (from table): ___________________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 5.3 4.4 6.1 6.1 6.6 5.8 Barley 6.4 8.1 6.2 7.5 5.9 5.6 Maize 5.7 4.8 6.5 5.0 6.1 5.2 Oats 8.2 6.1 7.9 7.1 5.4 7.3 Does this data suggest that at least two of the grains differ with respect to true average thiamin content? Use a level ? = 0.05 test.State the appropriate hypotheses. H0: ?1 ≠ ?2 ≠ ?3 ≠ ?4 Ha: at least two ?i's are equal H0: ?1 = ?2 = ?3 = ?4 Ha: at least two ?i's are unequal H0: ?1 = ?2 = ?3 = ?4 Ha: all four ?i's are unequal H0: ?1 ≠ ?2 ≠ ?3 ≠ ?4 Ha: all four ?i'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? P-value > 0.100 0.050 < P-value < 0.100 0.010 < P-value < 0.050 0.001 < P-value < 0.010 P-value < 0.001 State the conclusion in the problem context. Reject H0.…The following data represent the amount of soft drink in a sample of 50 2-liter bottles: 2.109 2.086 2.066 2.075 2.065 2.057 2.052 2.044 2.036 2.038 2.031 2.029 2.025 2.029 2.023 2.020 2.015 2.014 2.013 2.014 2.012 2.012 2.012 2.010 2.005 2.003 1.999 1.996 1.997 1.992 1.994 1.986 1.984 1.981 1.973 1.975 1.971 1.969 1.996 1.967 1.963 1.957 1.951 1.951 1.947 1.941 1.941 1.938 1.908 1.894 Construct a frequency distribution and a percentage distribution. Construct a histogram and a percentage polygon. Form a cumulative percentage distribution and plot a cumulative percentage polygon. On the basis of the results of (a) through (c), does the amount of soft drink filled in the bottles concentrate around specific values?
- Q) Consider the following data: 62 61 83 92 67 89 83 50 80 69 95 50 73 71 73 88 66 89 73 51 58 86 73 57 67 80 59 86 62 95 63 88 59 64 54 78 84 77 71 82 82 83 81 97 60 85 61 55 80 72 Make frequency distribution using 5 classes and find the following: a) Coefficient of Skewness b) Semi Inter Quartile Range (SIQR) c) Standard DeviationIn 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…The average monthly cell phone bill was reported to be $50.07 by the U.S. Wireless Industry. Random Sampling of a large cell phone company found the following monthly cell phone charges (in dollars): 55.45 44.99 62.99 70.63 60.01 54.54 48.91 50.49 58.61 51.97 At the 0.01 level of significance, can it be concluded that the average phone bill has changed?
- 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: 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.An English professor at WCC wanted to test to see if students retained more information from reading a 19th-century novel or by watching it in DVD form.Each student was assigned one novel to read and a different one to watch, and then they were given a 100-point quiz on each. The test results are shown below:Book 90 80 90 75 80 90 84 60DVD 85 72 80 80 70 75 80 75At the 0.05 level of significance, does the data provide evidence to suggest the book scores are higher on average? Step 1: Define the parameter & setup the testStep 2: State the Level of SignificanceStep 3: Find the value of the Test StatisticsStep 4: Find P-Value OR Find Critical ValueStep 5: State Conclusion and whyIn 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.