MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- A sample of birth weights of 48 girls was taken. Below are the results (in g): 2724.5 3340.1 3243.6 3442.1 2996.9 3042 3505 3161.8 4022.8 3362.9 3768.9 2951.9 3229.7 2997.5 3758.1 3350.2 3210.7 3684.3 3530.1 3132.7 2776.9 3492.7 2655.1 3790.9 3064.6 3744.6 3294.5 2654.7 3536.6 2781.1 3756.3 3531.5 3654.2 3505.1 4018.6 3038 3202.3 3006 3701.6 3451.4 2986.5 3541.2 3232.9 2966 3186 3550.3 3056.6 3467.1 x = 3314.6 g s = 347.35 g Use a 5% significance level to test the claim that the standard deviation of birth weights of girls is less than the standard deviation of birth weights of boys, which is 530 g. Round all answers to 3 decimal places if possible. Procedure: Select an answer Step 1. Hypotheses Set-Up: %3D Ho: Select an answer На: Select an answer The test is a Select an answer O test. Step 2. The significance level is a = Step 3. Compute the value of the test statistic: Select an answer >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 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_forwardAn experimental diet to induce weight loss was followed for one week by a randomly selected group of 12 students with the following results. Loss in Pounds Student 1 2 3 5 6 7 8 9 10 11 12 2.5 2.9 0.4 1.7 0.0 1.5 5.5 3.5 3.9 3.5 1.1 2.9 (a) Find a point estimate for the average amount lost after one week on this diet. 2.55 ]x Is this an unbiased estimate of the population mean? Explain. Yes, this an unbiased estimate of the population mean, since E(X) = µ. Yes, this an unbiased estimate of the population mean, since E(X) + μ. O No, this is not an unbiased estimate of the population mean, since E(X) * μ. O No, this is not an unbiased estimate of the population mean, since E(X) = μ. O No, this is not an unbiased estimate of the population mean, since the sample size is too small. (b) Find a point estimate for the variance of the amount lost on this diet. (Round your answer to four decimal places.) 2.3264 x Is this an unbiased estimate of the population variance? Explain. Yes, this an…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_forwardCalculate sdarrow_forwardFind the standardized test statistic t for a sample with n = 25, x = 12, s = 3, and a = 0.005 if Ho: μ = 11 Round your answer to three decimal places. 1.667 1.997 1.239 1.452arrow_forward
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