EX#2: A box of 850 marbles contains 50 blue marbles. Two marbles are selected at random without replacement. Let X be the number of blue marbles in the sample. Find the cumulative distribution function of X.
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Q: The average final exam score for the statistics course is 75%. A professor wants to see if the…
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Q: The average final exam score for the statistics course is 75%. A professor wants to see if the…
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- A researcher wants to check the claim that a certain species of reptile spend an average of 18.2 months in quaratine before being transported to another facility. She takes a random sample of 25 such cases from files and finds that ī = 18.9 months and the sample standard deviation, s = 3.6 months. Test the claim at the 0.1 significance level. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) Ho: Select an answer v months H: Select an answer v months Original claim = Select an answer v Based on the hypotheses, find the following: Test Statistic = |(Round to three decimal places and show work in the "show work" box below.) p-value = (Round to four decimal places and show work in the "show work" box below.) Critical values = ± (Round to three decimal places.)What is the test statistic?The percent defective from an incoming lot is 3%.An OC curve showed the probability of acceptance to be 0.55.Given a lot size of 2,000 and a sample of 100, determine theaverage outgoing quality in percent defective
- 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.)Suppose that the time spent by children in front of the television set per year has the distribution N(1500, 250) What proportion of children spend less than 1000 hours in front of the television?Airlines tend to overbook their flights because they assume a certain percentage of people will be 'no shows' due to change in plans or late connecting flights. A recent study suggested that 86% of people actually show up for their flight on time. A random sample of 222 booked passengers is taken and whether or not they showed up on time is recorded for each of them. The Central Limit Theorem for proportions says that the sampling distribution of the proportion of people who show up on time for their flight will have a Normal shape. (a) Give the center and standard error for the sampling distribution of proportions. Round to four decimal places as needed. mean = and standard error = (b) What is the probability that at least 88% of the randomly selected booked passengers showed up on time? P(ˆp ≥0.88)= (c) What is the probability that between 82% and 90% of the randomly selected booked passengers showed up on time? P(0.82≤ˆp ≤0.9)= (d) Is 83% an unusually low percentage of…
- The average final exam score for the statistics course is 82%. 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 different. The final exam scores for the 14 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 90, 78, 82, 59, 67, 71, 64, 78, 67, 57, 79, 86, 66, 56 What can be concluded at the the αα = 0.05 level of significance level of significance? For this study, we should use (t-test for a population mean, z-test for a population proportion) The null and alternative hypotheses would be: H0: (symbol) (symbol) ____ H1: (symbol) (symbol) ____ The test statistic (?,t,z) = ____ (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is (symbol) αα Based on this, we should (accept, reject, fail to reject) the null hypothesis.…What happens to the t-distribution as the sample size increases?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 different. The final exam scores for the 14 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 71, 72, 53, 61, 75, 55, 75, 74, 58, 50, 71, 84, 76, 53 What can be concluded at the the αα = 0.10 level of significance level of significance? The null and alternative hypotheses would be: H0: μ = ______________ H1: μ ≠ ______________ The test statistic t= ________________(please show your answer to 3 decimal places.) The p-value = _______________________ (Please show your answer to 4 decimal places.)
- Larry is a 62% free-throw shooter, that is to say that anytime Larry attempts a free-throw, there is a 62% chance he will make it. Larry will attempt 70 free throws. Assume each attempt is independent of every other attempt. Let X be the number of free throws Larry makes out of 70 and let P^P^ be the proportion of the 70 attempts Larry makes. What is the mean of X? Do not Round.If the grades of students in Principles of statistics are distributed through the N ( 60 , 100 ) , then the percentage of students with grades between 65 and 70At a Stanford University,37%of students support green party.suppose a sample of size 94 students and are interested inthe population proportion of students who support that party.find the sampling distribution of sample proportion?