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You are performing a rightfupper)-tailed test of a population mean and is not known. A sample...
Test the claim that the proportion of people who own cats is smaller than 50% at the 0.01 significance level. The null and alternative hypothesis would be: Họ: A = 0.5 Ho:p> 0.5 Hp p = 0.5 HP < 0.5 Hp: < 0.5 Hp:u > 0.5 H:+0.5 H :p <0.5 H :P +0.5 H :p > 0.5 H :p > 0.5 H :< 0.5 O O O The test is: right-tailed two-tailed left-tailed Based on a sample of 500 people,...
11. A random sample of 25 statistics examinations was taken. The average score in the sample was 76 with a variance of 144. Assuming the scores are normally distributed, the 99% confidence interval for the population average examination score is 70.02 to 81.98 6. 69.82 to 82.18 70.06 to 81.94 d. 69.48 to 82.52 2. c. 12. It is known that the population variance equals 484. With a 0.95 probability, the sample size that needs to be taken to estimate...
3. Testing a population mean The test statistic (Chapter 11) Aa Aa You conduct a hypothesis test about a population mean u with the following null and alternative hypotheses: Ho: u-25.8 H1: <25.8 Suppose that the population standard deviation has a known value of a observations, which provides a sample mean of % 30.7. 17.8. You obtain a sample of n =62 Since the sample size large enough, you assume that the sample mean X follows a normal distribution. Let...
You are conducting a two-tailed hypothesis test to see if your sample mean (x̄) differs significantly from your population mean (μ = 50). Your alpha level is 0.05 (α = 0.05). Sample data: 53, 56, 59, 64, 55, 42, 36, 58, 39, 53, 62, 60, 64, 53, 42, 53, 65, 60, 61, 63 You will need to: h) State your alternative hypothesis and null hypothesis i) Calculate the sample mean (x̄) j) Calculate the sample standard deviation (s) k) Calculate...
(a) Test the hypothesis that each sample comes from a population with the same mean at the a = 0.05 level of significance. That is, test Ho: My = H2 = 43. P-value = (Round to three decimal places as needed.) Choose the correct conclusion below. Do not reject the null hypothesis. Reject the null hypothesis. 0 - (b) If you rejected the null hypothesis in part (a), use Tukey's test to determine which pairwise means differ using a familywise...
help with this hypothesis testing procedure? A manufacturing firm needs to test the null hypothesis Ho that the probability p of a defective item is 0.2 or less, against the alternative hypothesis H,: p 0.2. The procedure is to select four items at random. If all four items are defective, Ho is rejected; otherwise, a fifth item is selected. If the fifth item is defective, Ho is rejected. In all other cases, Ho is accepted. What is the power of...
Suppose you were asked to determine if the population proportions of women who do yoga is different in two different countries. State the null and alternative hypotheses, where p1 is the proportion of women in the population of the first country and p2 is the proportion of women in the population of the second country. Select the correct answer below: Null Hypothesis: H, :P - P2 = 0 Alternative Hypothesis: H.-P. P < 0 Null Hypothesis: HOP - P2=0 Alternative...
5. You are given the following information about a hypothesis test that is being performed on a random sample taken from a normal distribution with mean ji: • The unbiased sample variance is 9. • The sample size is 16. • H,:= 80 • Ha:> 80 Let tay be the critical value of a t random variable with v degrees of freedom. The following table lists values of ta, for specific combinations of a and v: v = 15 v...
For a given population with o = 10.5 lb. we want to test the null hypothesis j = 66.5 against the alternative hypothesis u # 66.5 on the basis of a random sample of size n = 64. If the null hypothesis is rejected when x < 64.6 lb. or å > 68.8. a) (3 points) What is the probability of a type l error? b) (4 points) What is the probability of a type II error and the power...
D Chapter 15 Problem Set Suppose you are planning a study that will est the following one-tailed hypotheses: To evaluate the power of your study, you consider a specific alternative hypothesis, μ-Ha, where μ.> μ。. The following sketch shows two overlapping sampling distributions of X-one when Ho is true (and H1 is false), the other when Hy is true (and Ho is false). The distribution on the left has a mean of yo and represents the sampling distribution of X...