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Chapter 5: Q7CQQ (page 195)

Requirements A quality control analyst has collected a random sample of 12 smartphone batteries and she plans to test their voltage level and construct a 95% confidence interval estimate of the mean voltage level for the population of batteries. What requirements must be satisfied in order to construct the confidence interval using the method with the t distribution?

Short Answer

Expert verified

The following two requirements should be satisfied to construct a confidence interval estimate using the student鈥檚 t distribution:

  • Randomly selected sample
  • Unknown sigma value
  • The population should be normally distributed.

Step by step solution

01

Given information

A sample of smartphone batteries of size equal to 12 is selected.

The mean voltage of the batteries is to be estimated using a 95% confidence interval.

02

Requirements

The following requirements need to be satisfied to construct a confidence interval estimate using the student鈥檚 t distribution:

  • The sample should be a simple random sample.

  • The standard deviation of the population must be unknown; that is, \({\bf{\sigma }}\) is not defined.

  • The population from which the sample data is chosen should be normally distributed.

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Most popular questions from this chapter

In each of Exercises 5.167-5.172, we have provided the number of trials and success probability for Bernoulli trials. Let X denote the total number of successes. Determine the required probabilities by using

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In each of Exercises 5.167-5.172, we have provided the number of trials and success probability for Bernoulli trials. LetX denote the total number of successes. Determine the required probabilities by using

(a) the binomial probability formula, Formula 5.4 on page 236. Round your probability answers to three decimal places.

(b) TableVII in AppendixA. Compare your answer here to that in part (a).

n=4,p=14,P(X=2)
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