A tire manufacturer has a 60,000 mile warranty for tread life. The manufacturer considers the overall tire quality to be acceptable if less than 8% are worn out at 60,000 miles. A study was done and researchers were 98% confident that the proportion of tires that are worn out at 60,000 miles lies between 7.8% and 9.6%. What type of statistical inference is this

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Answer:

"Interval estimation" is the correct answer.

Step-by-step explanation:

Throughout the comparison to highlight estimates, the interval estimate would be the use of statistical analysis for calculating a range of potential measured values, which would be a continuous random variable.

The formula which is utilized to find these values is provided below:

⇒ [tex]\mu = \bar x \pm Z_{\frac{\alpha}{2} }\times \frac{\sigma}{\sqrt{n} }[/tex]

Here,

  • [tex]\bar x[/tex] is the mean.
  • [tex]Z_{\frac{\alpha}{2} }[/tex] is the confidence coefficient.
  • [tex]\alpha[/tex] is the confidence level.
  • [tex]\sigma[/tex] is the standard deviation.
  • [tex]n[/tex] is the sample size.