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A researcher conducted a survey related to changes in people's life during Covid-19 pandemic and a random sample of 64 observations in Ankara was collected.

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A researcher conducted a survey related to changes in people's life during Covid-19 pandemic and a random sample of 64 observations in Ankara was collected. According to the survey, the average number of face masks each individual consumes each week is 10. Answer the following questions. (a) A mask-producing company assumes that the average weekly mask consumption of individuals living in Ankara is equal to 9, while the Ministry of Health claims that the consumption level is not equal to 9. By assuming that the population standard deviation is 4 and using 8% Type I Error, discuss whose claim seems to be the right one. Write all the necessary components to justify your decision. Draw a figure to illustrate your decision. Include all the necessary information in your figure. (b) Compute p-value and interpret the calculated p-value in your own words. Draw a figure to show the calculated p-value. (c) Given the setting from part (a), if the calculated Type II error is 21.12%, what is the value of the true population mean under the alternative hypothesis? Draw a figure including Type II error, the distributions under null and the alternative hypotheses

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