The amount of time required for routine automobile transmission service is normally distributed with the mean 35 min and the standard deviation 7.5 min. The service manager plans to have work begin on the transmission of a customer’s car 10 min after the car is dropped off, and the customer is told that the car will be ready within 1 hr total time. What is the probability that the service manager will be wrong? Illustrate the proportion of area under the normal curve which is relevant in this case. b) A contractor claims that the cost of building a farm house is a normally distributed random variable with a mean of $500,000 and a standard deviation of $50,000. i) What is the probability that the cost of building a home will be between $460,000 and $540,000? ii) The probability is 0.2 that the cost of building will be less than what amoun

The scores on a test are normally distributed with a mean of 150 and a standard deviation of 30. Find the score that is 2 1/2 standard deviations above the mean.

The scores on a psychology test were normally distributed with a mean of 65 and a standard deviation of 4. Use the Empirical Rule to find the percentage of scores above 69.

The annual per capita consumption of oranges (in pounds) in the United States  can be approximated by a normal distribution. The mean annual per capita  of oranges is 19.2 with a standard deviation of 4 pounds.  what annual per capita consumption of oranges represents the 5th percentile?

It takes an average of 12.8 minutes for blood to begin clotting after an injury. An EMT wants to see if the average will change if the patient is immediately told the truth about the injury. The EMT randomly selected 51 injured patients to immediately tell the truth about the injury and noticed that they averaged 14.1 minutes for their blood to begin clotting after their injury. Their standard deviation was 4.48 minutes. What can be concluded at the the a = 0.01 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 Hj: ? v 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 ? 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 populaton mean is significantly different from 12.8 at a =…

The sample mean X is to be used to estimate the mean u of a normal distribution with standard deviation 4 inches. How large a sample should be taken in order chat, with 90% probability, the estimate will be in error by at most one-half inch?

It takes an average of 10.2 minutes for blood to begin clotting after an injury. An EMT wants to see if the average will decline if the patient is immediately told the truth about the injury. The EMT randomly selected 60 injured patients to immediately tell the truth about the injury and noticed that they averaged 10.1 minutes for their blood to begin clotting after their injury. Their standard deviation was 1.62 minutes. What can be concluded at the the a = 0.01 level of significance? a. For this study, we should use Select an answer b. The null and altemative hypotheses would be: Họ: Select an answer H1: ? Select an answer c. The test statistic (please show your answer to 3 decimal places.) d. The p-value = 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 .. (Please show your answer to 4 decimal places.) O The data suggest the population mean is not significantly less than 10.2 at a = 0.01, so there is…

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 44 feet. Let X = distance in feet for a fly ball. Find the 80th percentile of the distribution of fly balls. (Round your answer to one decimal place.)

The time to smoke fish is normally distributed with an average of 5.3 hours and a standard deviation of 2.1 hours. What is the z score for a fish that take 10 hours to smoke?

Find the ML estimator of the mean and variance from i.i.d. measurements from a normal distribution.