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A study on the different aspects of mobile internet usage among the students of XYZ School was conducted. Data have been collected from a random sample of 29 students. Mentionable that, the total number of students in XYZ School is 798. The following problems relate to the outcomes of the survey.
-Data from the sample found that the mean monthly expenditure on mobile data is TK 1322 which has a standard deviation of TK 239. Construct a 90% confidence interval of mean. Determine if the maximum mean monthly expenditure is within TK 1472. [Hint: Check the upper limit of the confidence interval]
-Data from the sample found that 62% students use mobile internet for playing online streaming games. Construct an 85% confidence interval of proportion for all students. Determine if the minimum proportion is within 0.51. [Hint: Convert percentage to decimal value. Check the lower limit of the confidence interval]
-Determine the minimum required sample size for an 85% confidence interval of mean monthly expenditure on mobile data to keep the width within TK 102. [Hint: Width of confidence interval of mean = Z × σx¯ ]
-Determine the minimum required sample size for a 90% confidence interval of proportion of students playing online games using mobile internet to keep the width within 4%. [Hint: Width of confidence interval of proportion = Z × σp¯ ]
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