At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
Sagot :
Answer:
The responses to these question can be defined as follows:
Step-by-step explanation:
[tex]n = 16\\\\ \bar{x}= 73.7\\\\\sigma = 12\\\\a = 0.05\ or\ a = 0.10\\\\H_{o} \ : \mu = 68\\\\H_{a} \ : \mu \neq 68\\\\a = 0.05\\\\[/tex]
critical values [tex]=\pm t0.025,15 = \pm 2.131\\\\[/tex]
[tex](n-1) = 15^{\circ}\\\\a = 0.10\\\\[/tex]
critical values[tex]= \pm t0.05,15 = \pm 1.753\\\\[/tex]
[tex](n-1) = 15^{\circ}\\\\[/tex]
Testing the statistic values:
[tex]t = \frac{x-\mu_{0}}{ \frac{s}{\sqrt{n}}}\\\\[/tex]
[tex]= \frac{73.7-68}{(\frac{12}{\sqrt{16}})}\\\\\ = \frac{5.7}{(\frac{12}{4})}\\\\ = \frac{5.7}{(3)}\\\\ = 1.9\\[/tex]
Test statistic ta [tex]= -1.90\ lies[/tex]
The critical values[tex]\pm t_{0.05,15} =\pm 1.753[/tex]
It is in the region of dismissal. We dismiss the 10% significant null hypothesis.
[tex]t_a = 1.90 \\\\df = 15\\\\a = 0.05\\\\p-value = 076831\\\\[/tex]
P - value is greater than the level of significance a= 0.05
Null hypothesis we don't reject. At a 95% level, the claim is justified.
[tex]t_a = 1.90\\\\ df = 15\\\\ a = 0.10\\\\p-value = 076831\\\\[/tex]
P - value below the meaning level a = 0.10, we reject the hypothesis null. At a level of 90% the claim is not justified.
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We appreciate your time. Please come back anytime for the latest information and answers to your questions. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.
