Which of the following is a condition for using the t distribution to calculate a confidence interval estimate of the population mean? The population standard deviation is unknown. The sample data are an SRS. The population is Normal or the sample size is sufficiently large. All of the above.
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- S - 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 0.01 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 = 42₂ H₁: Hy > H₂ @ View an example Get more help. 2 C. Ho: H₁ = 4₂ H₁: Hy #4₂ The test statistic, t, is -1.32. (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) W S X command # 3 80 F3 E D с $ 4 a FA R F % 5 V FS T G 6 B MacBook Air & FG Y H & 7 N 8 41 F7 U J OB. Ho: 2 Η.: μη Σμη OD. Ho: H₁ H₂ H₁ H₁ H₂ * 8 M DII FO I ( 9 K DD F9 O < I ) O L command 4 F10 P . - : t ; Clear all option F11 { [ + ? 1 = 3CX5 Treatment Placebo H₂ 35 an Check answer…ကြိုး ✓ X Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment (with magnets) H group and the sham (or placebo) group. The results are a measure of reduction in back pain. 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. n H OA H₂:₁ = 4²₂ H₁: Hy #1₂ an example Get more help. Gi Hoi Ky 12 H₁: Hy > H₂ The test statistic, t, is 0.12. (Round to two decimal places as needed.) The P-value is 0.453. (Round to three decimal places as needed.) State the conclusion for the test. # 3 80 F3 Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment. Is it valid to argue that magnets might appear to be…The data below represent a random sample of 9 scores on a statistics quiz. (The maximum possible score on the quiz is 10.) Assume that the scores are normally distributed with a standard deviation of 2.5. Estimate the population mean with 95% confidence. 6,9,6,5,4,7,3,10,6 Note: For each confidence interval, enter your answer in the form (LCL, UCL). You must include the parentheses and the comma between the confidence limits. Confidence Interval =
- 4Test the claim below about the mean of the differences for a population of paired data at the level of significance a Assume the samples are random and dependent, and the populations are normally distributed. Claim: =0; a=0.01. Sample statistics: d=3.3, sy =8.54, n=8 Identify the null and alternative hypotheses. Choose the correct answer below. OAH: 14<0 H₂:14 20 OC. H₂: #0 OE Ho: 0 H₂:50 The test statistic is t= (Round to two decimal places as needed.) B. Ho: d=0 H₂: 170 OD. HH 20 H₂ P<0 OF. Ho soK A study was done on body temperatures of men and women. 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. e this 2 Z a. Use a 0.05 significance level to test the claim that men have a higher mean body temperature than women. What are the null and alternative hypotheses? OA Ho: Hy #₂ H₂: Hy H₂ F2 淋 X command дв 3 80 F3 E D с $ 4 R F % 5 V T G 6 B MacBook Air Y H & 7 N F7 U J * 8 M OB. Ho: ₁2₂ H₁: Hy t : - ; H n X S option Clear all F11 { [ Men H₁ 11 97.64°F 0.77 F ? 1 + = 11 I Check answer 4) F12 Women H₂ 59 97.45°F 0.63°F } ] delete ▼ return shift drew
- H2 Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment (with magnets) group and the sham (or placebo) group. The results are a measure of reduction in back pain. 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. 23 23 0.51 0.41 0.67 1.48 a. Use a 0.05 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment. What are the null and alternative hypotheses? O B. Ho: H1 H2 O A. Ho: H1 =H2 H: H1> H2 H1: H1 O (Round to three decimal places as needed.)You are conducting a hypothesis test where the null hypothesis is that mu is greater than or equal to 98.6. Your test will be at the 0.05 significance level. You take a sample of 50 people (a large sample), and find that the sample average is 101, and the standard deviation is 2. What is/are the critical values for this test? Group of answer choices a 1.64 b -1.64 c -1.64 and 1.64 d -1.96Can you help me with this question?
- Which of the following is not one of the assumptions of the t-test for independent samples? The populations of raw scores form at least a roughly normal distribution. They can only be done on Tuesdays. There is homogeneity of variance. There are two independent samples of interval/ratioscores.K In a random sample of eleven people, the mean driving distance to work was 22.3 miles and the standard deviation was 4.9 miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 95% confidence interval for the population mean u. Interpret the results. Identify the margin of error. (Round to one decimal place as needed.) Construct a 95% confidence interval for the population mean. (Round to one decimal place as needed.) Interpret the results. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) OA. It can be said that % of the population has a driving distance to work (in miles) that is between the interval's endpoints. O B. % of all random samples of eleven people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints. OC. With % confidence, it can be said that most driving distances…Researchers conducted a study to determine whether magnets are effective in treating back pain. Pain was measured using the visual analog scale, and the results shown below are among the results obtained in the study. Higher scores correspond to greater pain levels. 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) to (c) below. Reduction in Pain Level After Magnet Treatment (1): n=22,x=0.58, s=0.89 Reduction in Pain Level After Sham Treatment (H2): n=22, x = 0.51, s = 1.29 H₁: H1 H2 The test statistic, t, is 0.21. (Round to two decimal places as needed.) The P-value is 0.417. (Round to three decimal places as needed.) State the conclusion for the test. OD. Ho H₁₂ H₁: H1 H2 Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that those treated with magnets have a greater mean reduction in pain than…