1) A coffee shop claims that it takes 115 seconds, on average, to serve their customers coffee through their  drive-thru. Lucy, a statistics student, decides to test this claim. She randomly selects 15 orders and records  the wait time it took for the customer to receive their coffee. Here are the times (in seconds).    85 122 135 100 153 153 116 99 65 130 175 113 188 142 134   a) Lucy wants to make a confidence interval to estimate the true mean wait time. Explain thoroughly why  Lucy has or has not satisfied the “normal” condition for constructing a confidence interval. interval  b) The 95% confidence interval that Lucy constructs is 109.1 to 145.6 seconds. Does the interval provide convincing evidence that the coffee shop is lying about their claim?

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.