19. Identifying the critical region for a one-tailed test Aa Aa There is a sexua

Question

19. Identifying the critical region for a one-tailed test Aa Aa There is a sexually dimorphic nucleus (SDN) in the preoptic area of the hypothalamus of many mammals that is associated with the expression of male sexual behavior. In sheep, the SDN has two to three times more neurons in rams than in ewes. Suppose you are a researcher who is interested in whether the hormone testosterone will increase the number of neurons in the female SDN. You obtain a random sample of n 64 sheep and give each a testosterone injection. 100 and a standard The number of neurons in the SDN of an untreated adult ewe is normally distributed with a mean Lntreated deviation 4. You identify your null and alternative hypotheses as follows: Ho: Utreated 100, H: Utreated>100 Use the Distributions tool to help you answer the questions that follow Standard Nomal Distribution Mean-0.0 Standard Deviation 1.0 50005000 0.000 You use a random sample of size n = 64 and a significance level of .05. What value of M is just large enough to reject the null hypothesis? O 100.82 O 101.96 O 358.24 O 165.32 The mean of your actual sample is M 110.00. Therefore, you the null hypothesis and infer that reject do not reject treated> 100

Explanation / Answer

for 0.05 level crtiical value for right tailed test ; z =1.6449

here rejection region:X> mean +z*std error =100+1.6449*4/(64)1/2=100.82

the mean of your actual sample is M=110 ; therefore you reject the null hypothesis and sufficient evidence to infer that mutreated >100

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.