Determine that the lifetime distribution is unchanged

Assignment Help Basic Statistics

Reference no: EM131764270

Question: Dead battery? A car company has found that the lifetime of its batteries varies from car to car according to a Normal distribution with mean m = 48 months and standard deviation s = 8.2 months. The company installs a new brand of battery on an SRS of 8 cars.

(a) If the new brand has the same lifetime distribution as the previous type of battery, describe the sampling distribution of the mean lifetime x¯.

(b) The average life of the batteries on these 8 cars turns out to be x¯ = 42.2 months. Find the probability that the sample mean lifetime is 42.2 months or less if the lifetime distribution is unchanged. What conclusion would you draw?

Reference no: EM131764270

Questions Cloud

Compute the jenks margin of safety ratio : Jenks Corporation reported sales of $2,000,000 last year (100,000 units at $20 each), when break-even point was 80,000 units. Jenks' margin of safety ratio is

In your business experience have you observed major errors : Can you identify the point, or decision, of "no return" and suggest a possible alternative decision that may have brought a satisfactory result?

Discuss the april cost of goods sold using the lifo method : Compute the April 30 inventory and the April cost of goods sold using the LIFO method

Human papilloma virus : What is the HPV (human papilloma virus) vaccine & how it helped prevent cervical cancer. While this vaccine comes with its share of controversy

Determine that the lifetime distribution is unchanged : The average life of the batteries on these 8 cars turns out to be x¯ = 42.2 months. Find the probability that the sample mean lifetime is 42.2 months.

What is the n chromosome of the spores : These spores eventually develop into pollen grains which contain the non-motile sperm. What is the N chromosome of the spores?

Probability that a randomly selected passenger weighs more : Airline passengers get heavier In response to the increasing weight of airline passengers, the Federal Aviation Administration (FAA) told airlines.

Biotic and abiotic resources as selective forces : Give an example to demonstrate that "natural selection does not distinguish between biotic and abiotic resources as selective forces.

Could the exact distribution of the count be normal : How many people in a car? A study of rush-hour traffic in San Francisco counts the number of people in each car entering a freeway at a suburban interchange.

User Account

All Pages