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a car manufacturer crash tests a certain model of car and measures the impact force. the test and model in question produce impact forces that are normally distributed with a mean of 303030 metric tons and a standard deviation of 1.51.51, point, 5 metric tons. suppose that the manufacturer tests a random sample of 333 cars and calculates the sample mean impact force. assume that the cars in the sample are independent. what will be the shape of the sampling distribution of the sample mean impact force?



Answer :

tutorconsortium270

Shape of the distribution of the mean is appropriately normal.

What is sampling distribution ?

The sampling distribution for a given population is the frequency distribution of the different outcomes that can occur for a population statistic.

In statistics, the population is the entire pool from which statistical samples are drawn. Population can refer to an entire group of people, things, events, visits, or measurements. Populations can therefore be described as aggregated observations from subjects grouped according to common characteristics.

Calculation

From the given information

X:- impact force produced

X follows normal distribution with mean 30 and standard deviation of 3

n=3

As we know that when random sample is drawn from normal population then sample mean always follows normal distribution irrespective with sample size.

Shape of the distribution of the mean is appropriately normal.

learn more about sampling distribution here :

brainly.com/question/13501743

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