Question

Starbucks wanted to increase the sales of their cold brew coffee. They are considering buying a new nitro-cold brew machine that would make the coffee much smoother and faster. In order for this purchase to be financially viable, they would have to sell at least 30 cups of cold brew coffee per store per day. They decided to test this new machine out by randomly sampling 60 of their stores to be used as a trial run. The mean of this sample was 35, and the sample standard deviation was 5.3. Determine the test statistic, round to 2 decimal places.

Answer 1

Answer:

7.31

Step-by-step explanation:

According to the scenario, calculation of given data are as follows,

Sample mean (X) = 35

standard deviation (y) = 5.3

Sample size (n) = 60

Population mean (p) = 30

We can calculate test statistics by using following formula,

$t = \frac{(x - p)}{\frac{y}{\sqrt{ n} } }$

By putting the value in equation, we get

$t = \frac{(35 - 30)}{\frac{5.3}{\sqrt{ 60} } }$

t = 5 ÷ 0.684

t = 7.31

Hence, test statistics for the given data is 7.31.