Initial Post VII B. Using data set on Page 2, do the following. Show your work. Note that you have already done a-c, in a previous assignment (using data that you measured). a. Calculate appropriate...

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Initial Post VII B. Using data set on Page 2, do the following. Show your work. Note that you have already done a-c, in a previous assignment (using data that you measured). a. Calculate appropriate descriptive statistics of the data set (product weights). b. Create a histogram and assess normality of the data set. c. What are the raw scores that correspond to +/- 1.96 σ? 1. What proportion of product, total, would be less than - 1.96 σ or greater than + 1.96 σ? d. What is the z score for the minimum product weight in the data set? e. Test Mean = 10.0. Use a .05 two-tailed Type I error rate. Remember that the test distribution is not the raw score distribution, but is the distribution of sample means, e.g., you will have to calculate the standard error of the mean. Due to the sample size, use the t distribution. 1. State a one sample null hypothesis and null hypothesis. 2. State the estimated mean of the test distribution (the distribution of sample means). 3. Calculate the standard error of the mean (the estimated standard error of the distribution of sample means). 4. Calculate the t statistic. 5. State the critical value of t statistic (you get this from a t table; remember to use the correct degrees of freedom, df, and Type I error rate). 6. Compare the calculated t statistic to the critical t value and test if µ = 10.0 (i.e., accept or reject the null hypothesis). 7. If you used software that gives you the probability (prob or p) or significance (sig) of the t statistic, also use it to test µ = 10.0. If the 6 and 7 decisions do not match, you made a mistake. 8. Calculate the confidence interval (CI). Use the confidence interval to test µ = 10.0. If the decision does not match the 6 decision, you have made a mistake. Remember to explain all work and decisions. No math or chart speaks for itself; no mere result is an answer. Product weight 10.1 9.9 10.2 10.4 9.9 9.5 9.7 8.9 10.4 9.8 9.6 9.9 9.6 9.2 10.3 10.0 9.6 9.8 9.5 10.4 n = Sum = Mean = Std. dev = Max = Min = Range = Page 5 of 10