For the given data, (a) find the test statistic, (b) find the standardized test statistic, (c) decide whether the standardized test statistic is in the rejection region, and (d) decide whether you should reject or fail to reject the null hypothesis. The samples are random and independent. Claim: μ₁ <₂, x=0.01. Sample statistics: x₁ = 1230, n₁ = 50, x₂ = 1200, and n₂ = 80. Population statistics: ₁ = 65 and ₂ = 110.
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- The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 48 inches. Is the result close to the actual weight of 538 pounds? Use a significance level of 0.05.test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p₁>P2. The sample data are x₁ = 116, n₁ =249, x₂ = 138, and n₂ = 306. (a) Choose the correct null and alternative hypotheses below. OA. Ho: P₁ P₂ versus H₁: P₁ P2 B. Ho: P₁ = 0 versus H₁: P₁ #0 W OC. Ho: P₁ = P₂ versus H₁: P₁ P₂ OD. Ho: P₁ P2 versus H₁: P₁ P₂ w an example Get more help Clear all 17 e Check answer 6:51 PM 3/2/2024 C GThe accompanying data table lists the magnitudes of 50 earthquakes measured on the Richter scale. Test the claim that the population of earthquakes has a mean magnitude greater than 1.00. Use a 0.01 significance level. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and conclusion for the test. Assume this is a simple random sample.
- A manufacturer claims that only 2% of their products are defective. A store receives a delivery of 300 items from the manufacturer. Let p-hat = the proportion of defective items in a sample of 300 items. Assuming the manufacturer is correct that only 2% of their products are defective, what are the mean and standard deviation of the sampling distribution of p-hat ? Options: The mean is 0.02 and the standard deviation is 0.008. The mean is 6 and the standard deviation is 2.42. The mean is 6 and the standard deviation is 5.88. The mean is 0.02 and the standard deviation is 0.196.A sample mean, sample size, and sample standard deviation are provided below. Use the one-mean t-test to perform the required hypothesis test at the 10% significance level. x=25, s=10, n=24, H0: μ=24, Ha: μ>24 The test statistic is t= (round to two decimals as needed)Treatment Placebo A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.10 significance level for both parts. H1 H2 In 34 31 2.39 2.68 S 0.62 0.98 a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? O B. Ho: H1 H2 OC. Ho: H1 =H2 O D. Ho: H1 H2 H1: H1Plz help asap 41A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random. samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.01 significance level for both parts. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? OA. Ho: H1 H2 H₁₁₂ The test statistic, t, is (Round to two decimal places as needed.) OB. Ho: H₁₂ H₁: H₁A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. Treatment Placebo μ μ1 μ2 n 27 39 x 2.38 2.65 s 0.87 0.61 a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? A. H0: μ1≠μ2 H1: μ1<μ2 B. H0: μ1<μ2 H1: μ1≥μ2 C. H0: μ1=μ2 H1: μ1>μ2 D. H0: μ1=μ2 H1: μ1≠μ2 Your answer is correct. The test statistic, t, is (Round to two decimal places as needed.)Determine whether a normal sampling distribution can be used for the following sample statistics. If it can be used, test the claim about the difference between two population proportions p1 and p2at the level of significance α. Assume that the samples are random and independent. Claim: p1≠p2, α=0.01 Sample Statistics: x1=36, n1=75, x2=38, n2=65 Determine whether a normal sampling distribution can be used. The samples are random and independent. A normal sampling distribution cannot can be used because n1p=enter your response here, n1q=enter your response here, n2p=enter your response here, and n2q=enter your response here. (Round to two decimal places as needed.) State the null and alternative hypotheses, if applicable. A. H0: p1=p2 Ha: p1≠p2 B. H0: p1≤p2 Ha: p1>p2 C. H0: p1≥p2 Ha: p1<p2 D. The conditions to use a normal sampling distribution are not met. Calculate the standardized test statistic for…Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the difference between two population proportions p1 and p2 at the given level of significance α using the given sample statistics. Assume the sample statistics are from independent random samples. Claim: p1=p2, α=0.10 Sample statistics: x1=142, n1=156 and x2=144, n2=188 Find the standardized test statistic. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.Treatment Placebo A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. H1 H2 n 26 34 2.32 2.66 0.61 0.99 "TPL P2 OC. Ho: H1 H2 The test statistic, t, is -1.64. (Round to two decimal places as needed.) The P-value is 0.107. 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