4. (Proportion 5%) Supposing that X,,X,.,X,-N,(u,E) as an i.i.d with 2| is given. Determine the distribution of X.
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- RepostThe average wait time to get seated at a popular restaurant in the city on a Friday night is 12 minutes. Is the mean wait time greater for men who wear a tie? Wait times for 14 randomly selected men who were wearing a tie are shown below. Assume that the distribution of the population is normal. 12, 13, 11, 11, 14, 12, 13, 14, 14, 13, 13, 10, 13, 12 What can be concluded at the the � = 0.05 level of significance level of significance? For this study, we should use Correct The null and alternative hypotheses would be: �0: Correct Correct �1: Correct Correct The test statistic Correct = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is Correct � Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the populaton mean is significantly more than 12 at � = 0.05, so there is…The average final exam score for the statistics course is 79%. 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 11 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the gopulation is normal. 91, 74, 66, 52, 61, 90, 59, 75, 70, 82, 84 What can be concluded at the the a 0.10 level of significance level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: H1: c. The test statistic t = (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 s a f. Based on this, we should fail to reject g. Thus, the final conclusion is that ythe null hypothesis. The data suggest the populaton mean is significantly different from 79 at a = 0.10, so there is statistically significant…
- The average final exam score for the statistics course is 75%. 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 11 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 63, 72, 88, 50, 76, 88, 85, 55, 52, 61, 71 What can be concluded at the the a = 0.05 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: H.: Select an answer v H1: ?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 v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population mean is not significantly different from 75 at a =…A sample of 3 measurements are taken and recorded: a =8, y = 10 and z = 7 The sample mean is: x = = 8.33 Fill in the table below. aj (a; - x)2 Ex: 5.34 Ex: 5.34 Ex: 5.34 82 = (z-z)*+(y-a)* +(z-z) Ex: 5.34 (z-2)*+(y-z)* +(z-) = Ex: 5.34The number of hours worked (per week) by 400 statistics students are shown below in Table 1. Number of Hours Frequency 0 - 9 20 10 - 19 80 20 - 29 200 30 - 39 100 Refer to Table 1. ' 1. The class width for this distribution Group of answer choices is 39, which is: the largest value minus the smallest value or 39 - 0 = 39. is 10. is 9. varies from class to class. 2.The number of students working 19 hours or less Group of answer choices is 180. is 300. is 100. is 80. 3.The relative frequency of students working 9 hours or less Group of answer choices is 0.95. is 100. is 20. is 0.05.
- The average wait time to get seated at a popular restaurant in the city on a Friday night is 15 minutes. Is the mean wait time different for men who wear a tie? Wait times for 15 randomly selected men who were wearing a tie are shown below. Assume that the distribution of the population is normal. 13, 13, 14, 13, 17, 16, 17, 17, 13, 14, 15, 14, 16, 15, 14 What can be concluded at the the a = 0.10 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 v H1: Select 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 ? v a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population mean is not significantly different from 15 at a = 0.10, so there is statistically insignificant…A company collected the ages from a random sample of its middle managers, with the resulting frequency distribution shown below. Class Interval Frequency 20 to < 25 25 to < 30 30 to < 35 35 to < 40 12 40 to < 45 15 45 to < 50 7 What is the midpoint of the third class interval?he mean height of an adult giraffe is 18 feet. Suppose that the distribution is normally distributed with standard deviation 1 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. What is the median giraffe height? ft.c. What is the Z-score for a giraffe that is 20 foot tall? d. What is the probability that a randomly selected giraffe will be shorter than 18.2 feet tall? e. What is the probability that a randomly selected giraffe will be between 18.9 and 19.6 feet tall? f. The 70th percentile for the height of giraffes is ft.
- The average number of words in a romance novel is 64,177 and the standard deviation is 17,405. Assume the distribution is normal. Let X be the number of words in a randomly selected romance novel. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(____, ______)b. Find the proportion of all novels that are between 48,512 and 60,696 words. _________?c. The 95th percentile for novels is words. (Round to the nearest word)_________?d. The middle 60% of romance novels have from______ words to ______words. (Round to the nearest word)The average production cost for major movies is 58 million dollars and the standard deviation is 20 million dollars. Assume the production cost distribution is normal. Suppose that 48 randomly selected major movies are researched. Answer the foling questions. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N ---------, ------------- b. What is the distribution of x̄? x̄ ~ N -----------, ----------- c. For a single randomly selected movie, find the probability that this movie's production cost is between 57 and 60 million dollars. -------------- d. For the group of 48 movies, find the probability that the average production cost is between 57 and 60 million dollars. --------------- e. For part d), is the assumption of normal necessary? --------------------Yes, -------------No NOTE..........QUESTION (D) AND (E) NEEDS TO BE ANSWEREDA bus comes by every 14 minutes. The times from when a person arives at the busstop until the bus arrives follows a Uniform distribution from 0 to 14 minutes. A person arrives at the bus stop at a randomly selected time. Round to 4 decimal places where possible. (a-e)
