You may need to use the appropriate technology to answer this question. A sample of 21 items from population 1 has a sample variance s₁² = 5.5 and a sample of 26 items from population 2 has a sample variance s₂² = 2.25. Test the following hypotheses at the 0.05 level of significance. Ho: 0₂²50₂² H₂:0²>0₂² (a) What is your conclusion using the p-value approach? (b) Repeat the test using the critical value approach.
Q: A yogurt producer claims the variance on their yogurt containers is 4 grams or less . A sample of 30…
A:
Q: You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001.…
A: Given information: The hypotheses are given below: H0: μ=74.2Ha: μ>74.2 The sample of size is…
Q: You may need to use the appropriate technology to answer this question. A sample of 16 items from…
A:
Q: You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005.…
A: Given hypotheses: H0: µ = 70.1 H1: µ < 70.1 Level of significance is 0.005. It is given that the…
Q: You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01.…
A: We have to test for mean and for that we will use Z statistics as sample size is very large.
Q: ou believe both populations are normally distributed, but you do not know the standard deviations…
A: Given: This is a one tailed test. We reject the null hypothesis is t-value < t-critical value.
Q: You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005.…
A: As per guideline expert have to answer first 3 subparts only dear student please upload other parts…
Q: distributed, but you do not know the standard deviation. You obtain a sample of size n=101n=101 with…
A: Given that Hypothesized Population Mean (\mu)(μ) = 70.570.5 Sample Standard Deviation (s)(s) =…
Q: H0:μ=76.8H0:μ=76.8 H1:μ≠76.8H1:μ≠76.8
A: Here population standard deviation(σ) is not given. So here we use the t-test for solving the…
Q: You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10.…
A:
Q: You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001.…
A: Given, Sample size = 65 Sample mean = 66.3 Sample standard deviation = 17.9 Population mean = 63.9…
Q: You wish to test the following claim (Ha) at a significance level of a = 0.05. H.:1 = 42 Ha: 1 42…
A: If the population standard deviations of two groups are not known but assuming the variances are…
Q: You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. Ho:μ1=μ2…
A:
Q: You wish to test the following claim (H1) at a significance level of α=0.10. Ho:μ1=μ2…
A: For sample 1 x̄1 = 63.7 s1 = 9.3 n1 = 20 For Sample 2 x̄2 = 68.2 s2 = 8.6 n2 = 26 Significance…
Q: K A study was done using a treatment group and a placebo group. The results are shown in the table.…
A:
Q: You wish to test the following claim (Ha) at a significance level of a = 0.10. H.:µ1 = µ2 TH > Il:®H…
A:
Q: r > ≠ = ≠ = (Please enter a decimal) The test statistic ? z t = (please show your answer to 3…
A: Let X be the number of millionaires who could wiggle their ears. Of the 380 millionaires surveyed,…
Q: You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10.…
A: The sample size for the first population is 16, sample mean is 57.1 and sample standard deviation is…
Q: A random sample of 59 observations was selected from a normally distributed population. The sample…
A: a) i) Consider that σ is the population standard deviation.
Q: ou wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01.…
A: Given, Sample size = 27 Sample mean = 60.7 Sample standard deviation = 16.6 Set up the null and…
Q: It is believed that the waiting time for a service has a population mean value of µ =13 minutes. One…
A: 1) Null hypothesis: H0 : µ=13. Alternative hypothesis: H1 :µ≠13.
Q: 13% of all Americans suffer from sleep apnea. A researcher suspects that a different percentage of…
A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…
Q: Sample Sample size Sample variance 1 N1 = 11 s = 12 %3D 2 n2 = 8 s = 23 i. Find the test statistic F…
A: The provided sample variances are s12=12s_1^2 = 12 and s22=23s_2^2 = 23 and the sample sizes are…
Q: You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001.…
A: Given, α=0.001 Null Hypothesis(H0) :μ=69.5 Alternate Hypothesis(Ha): μ<69.5sample size n=19 mean…
Q: You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002.…
A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case…
Q: You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01.…
A: Given,sample size(n)=227sample mean(M)=78.2sample standard…
Q: A study was conducted to determine whether magnets were effective in treating pain. The values…
A: n1 = 20n2 = 20x¯1 = 0.43x¯1 = 0.47s1 = 1.37s2 = 0.94 α = 0.05claim : σ12 > σ22
Q: You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005.…
A: It is given that the sample size is 58 with mean 90 and standard deviation is 6.3. Given hypotheses…
Q: What is the test statistic for this sample? (Report answer accurate to three decimal places.) test…
A: A normally distributed population is given, n=119M=70.8SD=6.8α=0.001 Hypothesis to be tested is…
Q: You wish to test the following claim (HaHa) at a significance level of α=0.01. Ho:μ1=μ2 Ha:μ1>μ2…
A: We want to find the test statistic and p value Note: According to Bartleby Expert guideline, we can…
Q: It is desired to test H, -50 against population with mean and variance e Which one of the following…
A: As per the guidelines of the Bartleby, solution of only first 3 parts given.It was blirred…
Q: ou wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01.…
A:
Q: In a test of hypothesis, the null hypothesis is that the population mean is less than or equal to 32…
A: The null and alternative hypothesis for the test is given as:where, denotes the population mean.The…
Q: You believe both populations are normally distributed, but you do not know the standard deviations…
A: Given n1=20,x¯1=60.9,SD1=6.2 and n2=15,x¯2=76.9,SD2=18.6.
Q: You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10.…
A: The summary of statistics is, M= 52.1,s=12.5,n=11 The null and alternative hypothesis is, The type…
Q: You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10.…
A: From the above data we are given that sample of size n=638 mean M=81 standard deviation of SD=11.3…
Q: You wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02.…
A: Given, Sample size = 18 Sample mean = 79 Sample standard deviation = 20.7 Set up the null and the…
Q: You have determined that in the past three years there 7 of the 14 were hand injuries. Previous…
A: The hypotheses to test are : H0 : There is no significant difference in the observed data versus the…
Q: u wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10.…
A: Solution: Given information: n= 12 Sample size M= 57.2 Sample mean μ= 60.5 Population mean s= 14.2…
Q: You wish to test the following claim (H) at a significance level of a = 0.01. 54.7 о Ha:µ < 54.7 а…
A: Given information- Population mean, μ = 54.7 Sample size, n = 10 Sample mean, x-bar = 44.7 Sample…
Q: You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01.…
A: Step 1: Here the test is a 2 sample t-test. We want to test whether the means of two populations are…
Q: Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1≠μ2Ha:μ1≠μ2 You believe both populations are normally distributed, but…
A:
Q: You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10.…
A:
Q: You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002.…
A: State the hypotheses. (1) Obtain the value of the test statistic. The value of the test…
Q: You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001.…
A: Given data is appropriate for z-test for single mean .because the sample size is large.
Sample size of first sample n1 =21
Sample variance s12=5.5
Sample size of first sample n2 =26
Sample variance s22=2.25
Step by step
Solved in 6 steps with 8 images
- You wish to test the claim that the average IQ score is less than 100 at the .01 significance level. You determine the hypotheses are: Ho: μ=100 H1:μ<100H You take a simple random sample of 79 individuals and find the mean IQ score is 98.3, with a standard deviation of 15.3. Let's consider testing this hypothesis two ways: once with assuming the population standard deviation is not known and once with assuming that it is known. Round to three decimal places where appropriate. Assume Population Standard Deviation is NOT known Assume Population Standard Deviation is 15 Test Statistic: t = Test Statistic: z = Critical Value: t = Critical Value: z = p-value: p-value: Conclusion About the Null: Reject the null hypothesis Fail to reject the null hypothesis Conclusion About the Null: Reject the null hypothesis Fail to reject the null hypothesis Conclusion About the Claim: There is sufficient evidence to support the claim that the average IQ score is less…QUESTION 20 An environmental researcher wants to know whether the mean amount of sulfur dioxide in the air in UAE cities is less than 1.22 parts per billion (ppb). She tested the hypotheses Ho: 21.22 versus Ha: < 1.22 using a significance level a = 0.05. The p-value of the test is 0.045. If the true value of µ is 1.23, the conclusion results in Correct decision. Type I error. Both Type I and Type II errors. Type II error.You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05. Ho:μ=61.4Ho:μ=61.4 Ha:μ<61.4Ha:μ<61.4You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=108n=108 with mean M=59.7M=59.7 and a standard deviation of SD=10.2SD=10.2.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is less than 61.4. There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 61.4. The sample data support…
- You have determined that in the past three years there 7 of the 14 were hand injuries. Previous projections had indicated that under normal conditions, only four hand injuries were expected and 12 other injuries were expected. The remaining injuries were due to other causes. Calculate the chi-square value and discuss whether there was a significant difference in observed data vs. the expected data. Also discuss how the process of hypothesis testing might prove helpful o = 7 hand injuries and 7 other injuriese = 4 expected hand injuries and 12 other injuriesProfessor Nord stated that the mean score on the final exam from all the years he has been teaching is a 79%. Colby was in his most recent class, and his class’s mean score on the final exam was 82%. Colby decided to run a hypothesis test to determine if the mean score of his class was significantly greater than the mean score of the population. α = .01. What is the mean score of the population? What is the mean score of the sample? Is this test one-tailed or two-tailed? Why?You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10. Ho:μ=75.5Ho:μ=75.5 Ha:μ<75.5Ha:μ<75.5You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=9n=9 with mean M=56.6M=56.6 and a standard deviation of SD=16.2SD=16.2.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =
- In a random sample of size 36 we observe a sample mean of 25 and a variance of 144. If we test the hypotheses below with a significance level of 0.05. Ho: µ = 20 HẠ :4 > 20 what will be the calculated test statistic?Under what circumstances is a t statistic used instead of a z-score for a hypothesis test? Justin wants to know whether a commonly prescribed drug does improve the attention span of students with attention deficit disorder (ADD). He knows that the mean attention span for students with ADD who are not taking the drug is 2.3 minutes long. His sample of 12 students taking the drug yielded a mean of 4.6 minutes. Justin can find no information regarding σx , so he calculated s2x =1.96. Determine the critical region using a one-tailed test with alpha = .05. Conduct the hypothesis test (Do the math and compare the t-critical and t-obtained values). State your conclusions in terms of H0 (Should you reject the H0 or fail to reject/accept the H0). Based on your analysis, is there a relationship between the drug and attention span?You wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02. Ho:μ=63.1Ho:μ=63.1 Ha:μ>63.1Ha:μ>63.1You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=381n=381 with a mean of M=66.3M=66.3 and a standard deviation of SD=18.6SD=18.6.What is the critical value for this test? (Report answer accurate to three decimal places.)critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = The test statistic is... in the critical region not in the critical region This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 63.1. There is not sufficient evidence to warrant rejection of the claim that the population mean is…
- You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. Ho:μ=81.9 Ha:μ≠81.9You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=12n=12 with mean M=72.6M=72.6 and a standard deviation of SD=7.5SD=7.5.What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = ______The p-value is... A.) less than (or equal to) αα B.) greater than α This p-value leads to a decision to... A.) reject the null B.) accept the null C.) fail to reject the null As such, the final conclusion is that... A.) There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 81.9. B.) There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 81.9. C.) The sample data support the claim that the population mean is not equal to 81.9. D.) There is not sufficient sample evidence to…You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1<μ2Ha:μ1<μ2You believe both populations are normally distributed, but you do not know the standard deviations for either. We will assume that the population variances are not equal. You obtain a sample of size n1=18 with a mean of M1=62.6 and a standard deviation of SD1=13.2 from the first population. You obtain a sample of size n2=17 with a mean of M2=73.1 and a standard deviation of SD2=5.6 from the second population.What is the test statistic for this sample? (Report answer accurate to three decimal places.)You wish to test the following claim (H1H1) at a significance level of α=0.005. Ho:μ1=μ2 H1:μ1≠μ2You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal. You obtain a sample of size n1=17n1=17 with a mean of M1=52.8M1=52.8 and a standard deviation of SD1=9.4SD1=9.4 from the first population. You obtain a sample of size n2=14n2=14 with a mean of M2=47.4M2=47.4 and a standard deviation of SD2=10.5SD2=10.5 from the second population. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final…