3. From a box containing four 10-peso coins and two 5-peso coins, 3 coins are selected at random without replacement. Determine the cumulative distribution function of the random variable representing the number of 10-peso coins. I*
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- The average final exam score for the statistics course is 74%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is lower. The final exam scores for the 11 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 76, 78, 77, 67, 63, 79, 50, 63, 70, 63, 66 What can be concluded at the the a = 0.01 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?v Select an answer Hj: ? vSelect an answer v c. The test statistic ? v (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? va f. Based on this, we should Select an answer |the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the populaton mean is significantly lower than 74 at a = 0.01, so…A bottling company fills bottles with water you measure the liquid volume of 6 bottles and get: 745, 751, 748, 747, 750,744 ml.a/ Describe the volumes of this set of bottle with only two numbers. b/ if this were a set of 6 out of several thousand calculate the average volume. C/ The company is trying to fill each bottle to 750 ml but there's some random variation in the machine and there might be some evaporation. Is evaporation likely given these numbers?1. Of all freshman at a Snow college, 16% made the dean's list in the current year. As part of a class project, students randomly sample 40 freshman and check if those students made the list. Calculate the probability your sample has more than 8 students from the dean's list. Check conditions (if one doesn't check out, note your concern and continue anyway), describe sampling distribution, state probability.
- The average final exam score for the statistics course is 74%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is lower. The final exam scores for the 12 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 51, 86, 77, 86, 66, 59, 66, 76, 55, 59, 57, 80 What can be concluded at the α = 0.10 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion H0:H0: ? μ p Select an answer = ≠ > < H1:H1: ? p μ Select an answer = > < ≠ The test statistic ? t z = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)5. A company has an inventory with a book value of $4,583,231, which includes 116 product lines and a total of 326,432 units. How many items compose this population for purposes of applying a probability-proportional-to-size sampling plan? Explain.Use flat random numbers to estimate .