Confidence interval for the mean cost of catering service

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The cost of catering services for a sample of 25 gatherings is normally distributed with mean $6000 and standard deviation 750.

(i) What probability of gatherings cost more than $6200?

(ii) What probability of gatherings cost between $5500 and $6000?

(iii) Determine the maximum cost required for a gathering to be in the bottom/cheapest 10% of catering service cost.

(iv) Construct a 90% confidence interval for the mean cost of catering service. Give an interpretation of this interval.

Reference no: EM132581289

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