A sample mean, sample size, and population standard deviation are provided below. Use the one-mean z-test to perform the required hypothesis test at the 5% significance level. x= 33, n=12, 0 =4, Ho: H = 31, Hai H>31
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A: Given: μ=1290σ=206.33α=0.05x¯=1319.78n=250
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- Use technology to help you test the claim about the population mean, p, at the given level of significance, a, using the given sample statistics. Assume the population i: normally distributed. Claim: u> 1250; a = 0.05; o = 212.17. Sample statistics: x= 1268.48, n= 200 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho us 1268.48 H p> 1268 48 O B. Ho: µ2 1268.48 H3 p 1250 H us 1250 O D. Ho: µ> 1268.48 H, us 1268.48 O E. Ho us 1250 H >1250 OF. Ho H2 1250 H p< 1250 Calculate the standardized test statistic. The standardized test statistic is (Round to two decimal places as needed.)An electrician wants to know whether batteries made by two manufacturers have significantly different voltages. The voltage of 58 batteries from each manufacturer were measured. The population standard deviations of the voltage for each manufacturer are known. The results are summarized in the following table. Manufacturer Sample mean voltage (millivolts) Population standard deviation(millivolts) A 186 2 B 185 3 What type of hypothesis test should be performed? What is the test statistic? Does sufficient evidence exist to support the claim that the voltage of the batteries made by the two manufacturers is different at the α=0.1 significance level?yes or noA 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. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? A. Ho: H₁ H₂ H₁: H₁ H₂ OC. Ho: H₁ H2 H₁ H₁ H₂ The test statistic, t, is -1.45. (Round to two decimal places as needed.) The P-value is 0.153. (Round to three decimal places as needed.) State the conclusion for the test. C OB. Ho: H₁Test the indicated claim about the means of two populations. Assume that the two samples are randomly selected, independent, the population standard deviations are not know and not considered equal. Subjects are given a creativity exercise on a computer with either a red background or a blue background. The scores are shown in the table. At the 0.01 significance level, test the claim that blue enhances performance on a creative task. Red Background Blue Background n1 = 41 n2 = 44 xˉx̄1 = 19.2 xˉx̄2 = 18.7 s1 = 0.88 s2 = 0.35 What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.)H0: Select an answer μ(blue) s₁² μ₂ p₂ p̂₁ σ₁² p μ₁ x̄₂ μ x̄₁ p₁ ? < ≥ ≠ ≤ = > Select an answer p₁ μ s₁² σ₁² μ₂ p₂ x̄₁ p̂₁ μ(red) μ₁ p x̄₂ H1: Select an answer x̄₁ x̄₂ p₁ μ₁ μ μ(blue) p p₂ σ₂² s₂² p̂₂ μ₂ ? ≤ < = ≥ ≠ > Select an answer σ₁² x̄₂ p₁ x̄₁ μ₁ p p₂ μ μ₂ p̂₁ s₁² μ(red) Original Claim = Select an answer H₁ H₀ df = Based on…Use the pulse rates in beats per minute (bpm) of a random sample of adult females listed in the data set available below to test the claim that the mean is less than 69bpm. Use a 0.05 significance level. Determine the p-value, test statistic, and whether to reject or support the null hypothesis. Pulse Rates (bpm)4758945542428462993656838640967652866179101964387103596043524566974010140833853398649613552933856446594A sample mean, sample size, and population standard deviation are provided below. Use the one-mean z-test to perform the required hypothesis test at the 1% significance level. x= 19, n=25, a=5, Ho: H=21, H₂: H#21 wwwConsider the following hypothesis test. The null hypothesis is "The mean body temperature for humans is 98.6 degrees Farenheit." and the alternative hypothesis is "The mean body temperature for humans differs from 98.6 degrees Farenheit." Answer the following questions. a. "The mean body temperature for humans in fact differs from 98.6 degrees Farenheit and the result of the sampling lead to that conclusion" is aA. Type I errorB. correct decisionC. Type II error b. "The mean body temperature for humans in fact is 98.6 degrees Farenheit but the result of the sampling lead to the conclusion that the mean body temprature for humans differ from 98.6 degrees Farenheit" is aA. Type II errorB. Type I errorC. correct decision c. "The mean body temperature for humans in fact is 98.6 degrees Farenheit and the result of the sampling do not lead to the rejection of the fact that the mean body temprature is 98.6 degrees Farenheit" is aA. Type I errorB. correct decisionC. Type II error d. "The mean…Listed below are the lead concentrations in μg/g measured in different traditional medicines. Use a 0.10 significance level to test the claim that the mean lead concentration for all such medicines is less than17 μg/g. Assume that the sample is a simple random sample. 13.5, 22.5, 7.5, 17, 22, 15.5, 9, 15.5, 5, 6 Determine the test statistics.Question Help Instructor-created question Sham Magnet H1 Researchers conducted a study to determine whether magnets can affect 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 H are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Use a 0.05 significance level to test thế claim that those treated with magnets have a different mean reduction in than those given a sham treatment. P2 10 10 0.54 0.45 5. 0.62 1.49 pain What are the null and alternative hypotheses? O A. Ho: H1 H2 O C. Ho H1 H2 O D. Ho: H1= H2 H1 P1 H2 ents Upper critical value is: (Round to three decimal places as needed.) Lower critical value is: (Round to three decimal places as needed.) cess Library Click to select your answer(s) and then click Check Answer. Clear All Check…11. Hypothesis Test of Equal Variances. Test the given claim. Use a significance level of a = 0.05 and assume that all populations are normally distributed. Claim: The treatment population and the placebo population have different variances. n = 16, x = 21.33, s = 0.80 n = 41, x = 25.34, s = 0.40 Treatment group : Placebo group :Find the range, variance, and standard deviation for the given sample data, if possible. If the measures of variation can be obtained for these values, do the results make sense? Biologists conducted experiments to determine whether a deficiency of carbon dioxide in the soil affects the phenotypes of peas. Listed below are the phenotype codes, where 1 = smooth-yellow, 2 = smooth-green, 3= wrinkled yellow, and 4= wrinkled-green. 2 1 3 1 4 1 3 1 2 2 2 1 1 2 2 3 2 2 2 2 Can the range of the sample data be obtained for these values? Choose the correct answer below and, if necessary, fill in the answer box within your choice. A. The range of the sample data is 3. (Type an integer or a decimal. Do not round.) OB. The range of the sample data cannot be calculated. Can the standard deviation of the sample data be obtained for these values? Choose the correct answer below and, if necessary, fill in the answer box within your choice. A. The standard deviation of the sample data is 0.8. (Round to…1SEE MORE QUESTIONS