A random variable has a mean of 6.5 and a standard deviation of 3.45. With a random sample of 40 observations, what is the probability of obtaining a sample mean greater than 6.9? Group of answer choices 0.8770 0.2327 0.1230 0.7673

A racing car consumes a mean of 103 gallons of gas per race with a standard deviation of 6 gallons. If 39 racing cars are randomly selected, what is the probability that the sample mean would differ from the population mean by more than 0.5 gallons? Round your answer to four decimal places.

Solve the problem.Assume that mountain lions' weights are normally distributed with a mean of 62.6 kilograms and a standard deviation of 2.6 kilograms. If 70 mountain lions are randomly selected, find the probability that they have a mean weight between 61.9 kilograms and 62.8 pounds.

The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusu For a sample of n = 69, find the probability of a sample mean being less than 19.6 if u = 20 and a = 1.16. Click the icon to view page 1 of the standard normal table. Click the icon to view page 2 of the standard normal table. For a sample of n = 69, the probability of a sample mean being less than 19.6 if u = 20 and o=1.16 is. (Round to four decimal places as needed.) Would the given sample mean be considered unusual? The sample mean be considered unusual because it has a probability that is ▼ than 5%.

About 73% of the residents in a town say that they are making an effort to conserve water or electricity. One hundred ten residents are randomly selected. What is the probability that the sample proportion making an effort to conserve water or electricity is greater than 78%? Interpret your result. Assume the sampling distribution of sample proportions is a normal distribution. The mean of the sample proportion is equal to the population proportion and the standard deviation is equal to pq n The probability is (Round to four decimal places as needed.)

About 13% of the population has blue eyes. 1700 people are randomly selected. a. Find the mean number of people with the blue eyes in such groups of 1700. b Find the standard deviation for the number of people with blue eyes in such groups of 1700. If possible, round to 1 decimal place.

Focus groups of 13 people are randomly selected to discuss products of the Yummy Company. It is determined that the mean number (per group) who recognize the Yummy brand name is 10.5, and the standard deviation is 0.52. Would it be unusual to randomly select 13 people and find that fewer than 7 recognize the Yummy brand name?

Find the probability that X will be more than 89. Round the answer to at least four decimal places.

Having trouble finding the correct mean and deviation, thank you.

mean = 71 kg, standard deviation = 13 kg, If 46 adults are randomly selected, what is the probability that the sample mean would be greater than 72.8 kg?