Answer:
The value of the test statistic is 2.8.
Step-by-step explanation:
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value expected value for the population mean, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
Sales at a fast-food restaurant average $6,000 per day
This means that [tex]\mu = 6000[/tex]
Sample of 49
This means that [tex]n = 49[/tex]
The sample showed average daily sales of $6,400.
This means that [tex]X = 6400[/tex]
Population standard deviation is about $1,000.
This means that [tex]\sigma = 1000[/tex]
The value of the test statistic is
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{6400 - 6000}{\frac{1000}{\sqrt{49}}}[/tex]
[tex]z = 2.8[/tex]
The value of the test statistic is 2.8.
