Answer :
Answer:
The t-statistic for a hypothesis test that is designed to answer the question is 2.4.
Step-by-step explanation:
Our test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the saple and n is the size of the sample.
A store manager designs a new accounting system that will be cost effective if the mean monthly charge account balance is more than $50.
This means that [tex]\mu = 50[/tex]
A sample of 100 accounts is randomly selected. The sample mean balance is $56 and the sample standard deviation is $25.
This means that [tex]X = 56, s = 25, n = 100[/tex]. So
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}[/tex]
[tex]t = \frac{56 - 50}{\frac{25}{\sqrt{10}}[/tex]
[tex]t = \frac{6}{2.5}[/tex]
[tex]t = 2.4[/tex]
The t-statistic for a hypothesis test that is designed to answer the question is 2.4.