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A restaurant that bills its house accounts monthly isconcerned about the average monthly bill exceeds $200 per account.A random sample of twelve accou

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asked 2020-10-27
A restaurant that bills its house accounts monthly isconcerned about the average monthly bill exceeds $200 per account.A random sample of twelve accounts is selected, resulting in asample mean of $220 and a standard deviation of $12. The t-test isto be conducted at the 5% level of significance.
What is the calculated vaue and the critical value of t?

Answers (1)

2020-10-28
A restaurant that bills its houseaccounts monthly is concerned about the average monthly billexceeds $200 per account. A random sample of twelve accounts isselected, resulting in a sample mean of $220 and a standard deviation of $12. The t-test is to be conducted at the 5% level ofsignificance.
a = $200 ; b = $12 ; n =12 ; sample mean(sm) = $220
Null hypothesis : the nonthlyavg. is 200
Alternative hypothesis :montly avg is more than 200
\(\displaystyle{t}={n}\frac{{{s}{m}-{a}}}{{b}}\)
\(\displaystyle={\frac{{{12}\cdot{\left({20}\right)}}}{{{12}}}}\)
\(\displaystyle={5.77}\)
calculated value is 5.77
critical vaue at 5 % level is 1.796
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