Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.
Sagot :
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.
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.
