A writer averages 0.5 errors per page. The number of errors follow a Poisson distribution. Find the probability that on the next 20 pages, exactly three pages will hav
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A writer averages 0.5 errors per page. The number of errors follow a Poisson distribution. Find the
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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 higher. 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. 82, 85, 97, 74, 84, 87, 65, 63, 79, 97, 69, 61, 83, 78 What can be concluded at the the αα = 0.05 level of significance level of significance? The null and alternative hypotheses would be: H0:H0: ? μ p Select an answer > ≠ < = H1:H1: ? p μ Select an answer ≠ = > < The test statistic ? z t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)The average fruit fly will lay 375 eggs into rotting fruit. A biologist wants to see if the average will be greater for flies that have a certain gene modified. The data below shows the number of eggs that were laid into rotting fruit by several fruit flies that had this gene modified. Assume that the distribution of the population is normal. 379, 406, 378, 394, 369, 369, 402, 383, 367, 357, 401, 407, 357, 394, 367 What can be concluded at the the a = 0.05 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: Но: 375 H1: 375 c. The test statistic (please = show your answer to decimal places.) d. The p-value (Please show your answer to 4 decimal places.)The average final exam score for the statistics course is 77%. 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 13 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 77, 91, 64, 96, 96, 75, 74, 78, 84, 98, 78, 80, 74 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: ?✓ Select an answer ✓ H₁: ? Select an answer c. The test statistic ? ✓ = d. The p-value = e. The p-value is ? ✓ a f. Based on this, we should [Select an answer the null hypothesis. (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.)
- Suppose that insurance companies did a survey. They randomly surveyed 400 drivers and found that 310 claimed they always buckle up. We are interested in the population proportion of drivers who claim they always buckle up. Which distribution should you use for this problem? (Round your answer to four decimal places.)find the p value and explain how it is done.State whether you would expect this distribution to be symmetric, left-skewed, orright-skewed, and briefly explain: ages of people obtaining a driver’s license for the firsttime.
- The average fruit fly will lay 377 eggs into rotting fruit. A biologist wants to see if the average will be greater for flies that have a certain gene modified. The data below shows the number of eggs that were laid into rotting fruit by several fruit flies that had this gene modified. Assume that the distribution of the population is normal. 367, 374, 364, 388, 407, 369, 375, 362, 403, 383, 381, 391, 371 What can be concluded at the the αα = 0.10 level of significance level of significance? The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)Decide whether you can use the normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use the binomial distribution to find the indicated probabilities. A survey of adults found that 8% say their favorite sport is auto racing. You randomly select 600 adults and ask them to name their favorite sport. Complete parts (a) through (d). Determine whether a normal distribution can be used to approximate the binomial distribution. Choose the correct answer below. O A. No, because ng < 5. O B. Yes, because both np25 and ng 25. O C. No, because np <5. (a) Find the probability that the number of people who say auto racing is their favorite sport is at most 56. |(Round to four decimal places as needed.)A uniform distribution has endpoints of 3 and 12. A. Determine the probability that a randomly selected value is either less than 4 or greater than 9. Report answer to 3 decimal places. B. Determine the value of the 70th percentile. Report answer to 1 decimal place.
- There are 100 students in a club. 20 are seniors. 12 arrive at December’s meeting at random. We want to predict the number of seniors that arrive. Describe the distribution and determine P(x=3).Toss a balanced coin independently 10 times. Assume that the number of Head and the number of Tails follows Multinomial Distribution. Find the probability to obtain 3 Heads and 7 Tails. Calculate MEAN and VARIANCE.Construct a probability distribution for the data and draw a graph for the distribution. Find the mean, variance, ad standard deviation for the distribution. The probabilities that a bakery has a demand for 2, 3, 5, or 7 birthday cakes on any given day are 0.35, 0.41, 0.15 and 0.09, respectively
