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The owner of a tire company wants to determine how long a new type of tire tread will last by measuring the length of time, in days, it takes for the tire tread to reach 2 mm. Let μ = the true mean number of days it takes for the tire tread to wear to 2 mm. Which of the following sample sizes will have the least variability in the sampling distribution of the sample mean?

25
35
45
55


Sagot :

Answer:

35

Step-by-step explanation:

The sample size should be as large as, 55 is the largest value option fifth 55 have the least variability in the sampling distribution of the sample mean.

What are population and sample?

It is defined as the group of data having the same entity which is related to some problems. The sample is a subset of the population, it is a part of the population.

We know in sampling distribution:

variance ∝ 1/√n    

Because,

[tex]\rm \sigma_\bar{x} \ =\ \sigma_{\sqrt{n}}[/tex]

From the above relation, as the sample size is large, the variability is less.

For least variability,

The sample size must be large.

Thus, the sample size should be as large as, 55 is the largest value option fifth 55 have the least variability in the sampling distribution of the sample mean.

Learn more about the population and sample here:

brainly.com/question/9295991

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