Question

A random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph. From past information, it is known that the standard deviation of the population is 22 mph. A 95% confidence interval for population mean is determined. If we are to reduce the sample size to 100 (other factors remain unchanged), the 95% confidence interval would:.

Answer 1

The average speed of 121 cars traveling on to an interstate in a random sample was 65 mph. The same values (60.688, 69.312) are used to calculate the 95 percent confidence range for the value of.

What are speed and its measure?

The pace at which a distance changes over time is referred to as speed. It has a dimension of time-distance. As a result, the fundamental unit of time as well as the basic unit for length are combined to form the High silica content of speed.

What is an example of speed?

You can determine an object's speed if you know how far it moves in a given amount of time. For instance, an automobile is moving at 70 miles per hour if it covers 70 miles in an hour.

Briefing:

The sample size is n= 121

The sample's average speed is 65 mph.

σ = 22mph

100 should be the new sample size other factors remain unchanged so,

given The sample size is n= 100

σ = 22mph

The 95 % of confidence interval for is calculated as follows:

(65 - 4.312 ,65 +4.312)

(60.688 , 69.312) ≅(61 ,69)

similar to (61.08, 68.92) ≅(61 ,69)

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