Suppose the number of customers visiting a shoe store follows a Poisson process with a rate of 85 per day. Assume 55 percent of cus- tomers make a purchase. The amount spent by a paying customer follows an exponential distribution with a mean of $105. The two distributions are independent. What is the standard deviation of the total sales per day for the shoe store?
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- Assume that women's heights have a distribution that is symmetric and unimodal, with a mean of 64 inches, and the standard deviation is 2.5 inches. Assume that men's heights have a distribution that is symmetric and unimodal, with mean of 73 inches and a standard deviation of 2 inches. a. What women's height corresponds to a z-score of −1.80? b. Professional basketball player Evelyn Akhator is 75 inches tall and plays in the WNBA (women's league). Professional basketball player Draymond Green is 79 inches tall and plays in the NBA (men's league). Compared to his or her peers, who is taller?According to a recent survey, the salaries of assistant professors have a mean of $41,750 and a standard deviation of $7000. Assuming that the salaries of assistant professors follow a normal distribution, find the proportion of assistant professors who earn at least $45,000. Round answer to at least 4 decimal places.The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 80 inches,, and a standard deviation of 10 inches. What is the probability that the men annual snowfall during 25 randomly picked years will exceed 82.8 inches? Draw a picture. Show z calculation. Use Table A-2.
- According to a recent survey, the salaries of assistant professors have a mean of $40,756 and a standard deviation of $7500 . Assuming that the salaries of assistant professors follow a normal distribution, find the proportion of assistant professors who earn more than $53,000 . Round your answer to at least four decimal places.On average, a banana will last 6.1 days from the time it is purchased in the store to the time it is too rotten to eat. Is the mean time to spoil greater if the banana is hung from the ceiling? The data show results of an experiment with 12 bananas that are hung from the ceiling. Assume that that distribution of the population is normal. 5.5, 6.6, 5.1, 8.4, 7.1, 5.1, 4.8, 5.1, 8.1, 5.4, 7, 7.8 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: Ho: ? Select an answer ✓ H₁: ? Select an answer ✓ 4 c. The test statistic?v= (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) d. The p-value =The average starting salary offer for anthropology majors who graduated in 2007 was $39,200. Assume that X, the starting salary offer for anthropology major, is normally distributed with a mean of $39,200 and a standard deviation of $2,550. Find the total area below a starting salary of $45,200. Be sure to express your answer as a percentage rounded to the second decimal place (e.g. xx.xx).
- A uniform distribution has endpoints 4 and 18. What is the 90th percentile, reporting to one decimal place?On average, a banana will last 6.5 days from the time it is purchased in the store to the time it is too rotten to eat. Is the mean time to spoil different if the banana is hung from the ceiling? The data show results of an experiment with 11 bananas that are hung from the ceiling. Assume that that distribution of the population is normal. 5.3, 6, 5.5, 7, 5.4, 5.7, 6.2, 6.4, 9.1, 8.7, 8.3 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 answerv H: ?vSelect an answerv 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 answerv the null hypothesis. R. Thus, the final conclusion is that 2The Alpha company takes a survey of the age for all employees. The average age is 35 with a standard deviation of 3.2 years. The results for a normal distribution curve. If the company has 985 workers, how many are over 44 years old?
- According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours less than the recommended number of hours per unit? The data show the results of a survey of 11 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 3.2, 0, 0, 0, 3.2, 3.2, 1.1, 0.8, 0.5, 1.3, 3.5 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use b. The null and alternative hypotheses would be: Select an answer Ho: Select an answer O H1: Select an answer O c. The test statistic ? 0 = (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 ? e a f. Based on this, we should Select an answer e the null hypothesis. g. Thus, the final conclusion is that ... The data suggest the populaton mean is significantly less than 2 at a = 0.05, so there is sufficient evidence…The mean time it takes a group of students to complete a statistics final exam is 98 minutes, and the standard deviation is 9 minutes. Within what limits would you expect approximately 95% of the students to complete the exam? Assume the variable is approximately normally distributed.Define a. normally distributed variable.b. normally distributed population.c. parameters for a normal curve.