1 answer

A random sample of 29 lunch orders at Noodles & Company showed a mean bill of...

Question:

A random sample of 29 lunch orders at Noodles & Company showed a mean bill of $9.60 with a standard deviation of $5.73. Find

A random sample of 29 lunch orders at Noodles & Company showed a mean bill of $9.60 with a standard deviation of $5.73. Find the 95 percent confidence interval for the mean bill of all lunch orders. (Round your answers to 4 decimal places.) to The 95% confidence interval is from

Answers

Solution :

Given that,

\bar x = $9.60

\sigma = $5.73

n = 29

At 95% confidence level the z is ,

\alpha = 1 - 95% = 1 - 0.95 = 0.05

\alpha / 2 = 0.05 / 2 = 0.025

Z\alpha/2 = Z0.025 = 1.96

Margin of error = E = Z\alpha/2* (\sigma /\sqrtn)

= 1.96 * (5.73 / \sqrt29)

= 2.0855

At 95% confidence interval estimate of the population mean is,

\bar x - E < \mu < \bar x + E

9.60 - 2.0855 < \mu < 9.60 + 2.0855

7.5145< \mu < 11.6855

(7.5145 to 11.6855)

.

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