Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Get immediate and reliable solutions to your questions from a knowledgeable community of professionals on our platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
Sagot :
Using the t-distribution, it is found that the value of the test statistic is t = -87.3.
At the null hypothesis, it is tested if the mean is of 2,463 square feet, that is:
[tex]H_0: \mu = 2463[/tex]
At the alternative hypothesis, it is tested if the mean is smaller, that is:
[tex]H_1: \mu < 2463[/tex].
We have the standard deviation for the sample, hence, the t-distribution is used to solve this question.
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
- [tex]\overline{x}[/tex] is the sample mean.
- [tex]\mu[/tex] is the value tested at the null hypothesis.
- s is the standard deviation of the sample.
- n is the sample size.
The values of the parameters are: [tex]\overline{x} = 1640, \mu = 2463, s = 66, n = 49[/tex].
Hence, the value of the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{1640 - 2463}{\frac{66}{\sqrt{49}}}[/tex]
[tex]t = -87.3[/tex]
To learn more about the t-distribution, you can take a look at https://brainly.com/question/25819230
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.
