a) Perform a test of hypothesis if the WHO statement about the daily average calorie intake still holds?

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WHO (World Health Organization) states that 1500 cals is the average daily calorie intake for the people in Hatay. A group of 100 people are selected from there, and the mean and standard deviation of the daily calorie intake are found to be 1705 cals and 900 cals, respectively. Use 5% significance level and;
a) Perform a test of hypothesis if the WHO statement about the daily average calorie intake still holds?
b) Find the probability of committing a Type II error and calculate the Power of Test when the real average is 1805.

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