The lifespans of gorillas in a particular zoo are normally distributed. The average gorilla lives   years; the standard deviation is   years.Use the empirical rule   to estimate the probability of a gorilla living longer than   years.

years; the standard deviation is   years.Use the empirical rule   to estimate the probability of a gorilla living longer than   years.

Suppose a manufacturer wants to estimate the averagelifespan of a new product they have developed. Theyrandomly select 15 products and test them until they fail.It is known that the average lifespan is 120 hours, with astandard deviation of 10 hours. Assume that the lifespanof the products follows a normal distribution. Themanufacturer wants to know the probability that theaverage lifespan of the product is greater than 130 hours.

Suppose that the lifetimes of old-fashioned TV tubes are normally distributed with a standard deviation of 1.2 years. Suppose also that exactly 35% of the TV tubes die before 4.5 years. Find the mean lifetime of TV tubes. Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.

A quality control expert at Glotech computers wants to test their new monitors. The production manager claims they have a mean life of 8989 months with a standard deviation of 55 months.If the claim is true, what is the probability that the mean monitor life would be greater than 87.887.8 months in a sample of 123123 monitors? Round your answer to four decimal places.

The life expectancy of a dog has a mean of 12 years with a variance of 4 years2. The life expectancies of 64 dogs were collected and the sample mean was measured at 11.5 years. Please compute the p-value for the relevant hypothesis test to check whether the mean value is 12 years.Please round your result to 2 decimal places.