4. (填空题, 2.0分) Give the sample space of rolling a six-sided die_
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- What is wrong. In each of the following situations, identify what is wrong and then either explain why it is wrong or change the wording to make the statement true. b) The standard error of the sample mean is s^2/n c) A researcher wants to test H0: X with line on top = 30 versus the one - sided alternative Ha: X withb line on top < 30Can you help me with the code for how to do this in R please? 1. The study "Digital Footprints" ([Pew Internet and American Life Project]("Digital Footprints" (Pew Internet and American Life Project)) reported that 47\% of Internet users have searched for information about themselves online. The 47\% figure was based on a random sample of Internet users. Suppose that the sample size was `n = 400`. i) Use this information to estimate the true proportion of Internet users who searched information about themselves using a default 95\% confidence interval. ii) Repeat (i) but instead use a 98\% Confidence Level. Use function `prop.test()`. iii) What is the main difference between the intervals computed in (i) and (ii)? What do you think is the role of the confidence level in determining the precision of the confidence interval estimate?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?
- To test the null hypothesis that the difference between two population proportions is equaluse StatCrunch or the formulaz =(p1 (carat) - p2 (Carat) / (Sq root) p1 (carat) (1 - p1 (carat)/n1 + p2(carat) (1 - p2(carat))/n2As long as n1 and n2 are both large, the sampling distribution of the test statistic z will beapproximately the standard normal distribution. Given the sample data below, test the claim that the proportion of female voters who plan to vote Republican at the next presidential election is less than the percentage of male voters who plan to vote Republican. Use the traditional method of hypothesis testing and use a significance level of 0.05.Men: n1 = 250, x1 = 146, p1(carat)=.584Women: n2 = 309, x2 = 103, p2(carat) = .333 3)a. Write the null and alternative hypotheses to test this claim. b. What is the value of the test statistic? Show you work.c. What is the associated P-value? d. State your conclusion and explain in context using ΅ = 0.05.X ~ N(37.3, 5) a) What score is at the 73rd percentile? b) What score is at the 40th percentile?The time between arrivals of customers at the drive-up window of a bank follows an exponential distribution with a mean of 20 minutes. a)What is the probability that the arrival time between customers will be 13 minutes or less? b)What is the probability that the arrival time between customers will be between 13 and 27 minutes?
- Use a normal approximation to find the probability of the indicalted number of voters. In this case, assume that 136 eligible voters aged 18-24 are randomly selected Suppose a previous study showed that among eligible voters aged 18-24, 22% of them voted Course Probability that exactly 33 voted Annou The probability that exactly 33 of 136 eligible voters voted is (Round to four decimal places as needed.) Assign Study Gradel StatCr e Text Enter your answer in the answer box and then click Check Answer Chapt ChkAnser Clear All All parts showing Tools frr This course (Triola, Elementary Statistics w/ IR 13e MW) is based on Triola: Elementary Statistics, 13e with Integrated Review $ 16 PM 12/3/2019 a O e Type here to searchA random variable that represent by nonnegative whole numbers. Select one: Discrete random variable Continuous random variable Variable Quantitative Variable