CNNBC recently reported that the mean annual cost of auto insurance is 1018 dollars. Assume the standard deviation is 262 dollars. You take a simple random sample of 86 auto insurance policies. Find the probability that a single randomly selected value is less than 987 dollars. P(X < 987) =  Find the probability that a sample of size n=86n=86 is randomly selected with a mean less than 987 dollars. P(M < 987) =  Enter your answers as numbers accurate to 4 decimal places. Submit QuestionQuestion 7

Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 185000 dollars. Assume the standard deviation is 36000 dollars. Suppose you take a simple random sample of 59 graduates.Find the probability that a single randomly selected salary is at most 187000 dollars. Answer = Find the probability that a sample of size n=59n=59 is randomly selected with a mean that is at most 187000 dollars. Answer = Enter your answers as numbers accurate to 4 decimal places.

In Math 150 class the points of the final exam are normally distributedWith a mean of 72 and standard deviation of 10. The top 15% will receive an A gradeFind the lowest score in the final exam that would qualify a student for an A grade.

CNNBC recently reported that the mean annual cost of auto insurance is 1016 dollars. Assume the standard deviation is 271 dollars. You take a simple random sample of 100 auto insurance policies. Find the probability that a single randomly selected value is less than 978 dollars. P(X < 978) = %3D Find the probability that a sample of size n = 100 is randomly selected with a mean less than 978 %3D dollars. P(X < 978) = %3D Enter your answers as numbers accurate to 4 decimal places.

Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 122000 dollars. Assume the standard deviation is 41000 dollars. Suppose you take a simple random sample of 97 graduates.Find the probability that a single randomly selected salary that doesn't exceed 126000 dollars.Answer = Find the probability that a sample of size n=97n=97 is randomly selected with a mean that that doesn't exceed 126000 dollars.Answer = Enter your answers as numbers accurate to 4 decimal places.

CNNBC recently reported that the mean annual cost of auto insurance is 954 dollars. Assume the standard deviation is 271 dollars. You take a simple random sample of 96 auto insurance policies.Find the probability that a single randomly selected value is less than 969 dollars.P(x<969)=P(x<969)= Find the probability that a sample of size n=96n=96 is randomly selected with a mean less than 969 dollars.P(¯x<969)=P(x¯<969)= Enter your answers as numbers accurate to 4 decimal places.

In a random sample of ten cell phones, the mean full retail price was $554.00 and the standard deviation was $167.00. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 95% confidence interval for the population mean u. Interpret the results. Identify the margin of error. (Round to one decimal place as needed.)