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Sagot :
The confidence interval for the average cost of a repair at this repair shop is [tex]127.95\pm6.321[/tex]
Confidence interval
The formula for calculating the z-score is expressed as:
[tex]CI = \overline x \pm z\frac{s}{\sqrt{n} }[/tex]
Given the following
- mean = 127. 95
- z = 1.645
- s = 24.3
- n = 40
Substitute the given parameters
[tex]CI = 127.95 \pm 1.645*\frac{24.3}{\sqrt{40} }\\CI = 127.95 \pm 1.645*\frac{24.3}{6.324 }\\CI = 127.95 \pm 6.321[/tex]
Hence the confidence interval for the average cost of a repair at this repair shop is [tex]127.95\pm6.321[/tex]
Learn more on confidence interval here: https://brainly.com/question/15712887
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