For the test of the null hypothesis Ho: u = 17.5 against the two-sided alternative H,:µ # 17.5, a random sample from a normal population with known standard deviation resulted to the observed value of the Z-statistic z. %3D = 1.68. What is the p-value (“observed significance level") of the test?
Q: wish to test the following claim (Ha) at a significance level of α=0.001. Ho:μ=87.3…
A: From the given information we conduct one sample t test.
Q: You wish to test the following claim (Ha) at a significance level of α=0.005. Ho:μ=57.3…
A: The hypothesized mean is 57.3.
Q: For the hypothesis test Ho: H = 9 against H1:9 and variance known, calculate the P-value for each of…
A: A). Z = 2.30
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A: GivenThe null and alternative hypothesis isH0:μ=84.3Ha:μ<84.3sample…
Q: For the hypothesis test Ho: = 4 against H₁ : # 4 and variance known, calculate the P-value for each…
A: HypothesesHo:μ=4vsH1:μ≠4(two tailed)
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A: Given : Claim : The average number of headaches per student during a semester of Statistics is 19
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A: We have given that The mean 107, sample standard deviation 23, sample size 55 and significance…
Q: Scores on a certain "IQ" test for 18-25 year olds are normally distributed. A researcher believes…
A: Here in this problem the null hypothesis is the mean of IQ scores is less than 110 and the…
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A: Given,sample size(n)=10population standard deviation(σ)=20H0:μ=175H1:μ>175
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A: Given that Null hypothesis H0 : μ≤98.6 Alternative hypothesis H1 : μ>98.6 Hypothesized…
Q: You wish to test the following claim (Ha) at a significance level of α=0.002. Ho:μ=59.4…
A: Given information- Population mean, μ = 59.4 Sample size, n = 52 Sample mean, M = 54.9 Sample…
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A: Given data : sample size, n = 121 sample mean, x̄ = 31.0 population standard…
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A: given data, n=50x¯=18.50σ=10.2α=0.10claim :μ<20
Q: You wish to test the following claim (HaHa) at a significance level of α=0.10. Ho:μ=69.9…
A: The test statistic is t=M-μSDn=62-69.920.583=-7.92.250167=-3.5109≈-3.511 Thus, the test statistic is…
Q: What is the observed significance level for this test?
A: here given , n= 50 sample mean = 19.4 sample standard deviation = 3.1
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A: Given data : sample size, n = 49 sample mean, x̄ = -1.0 sample standard…
Q: For the hypothesis test Ho:μ = 6 against H₁:μ< 6 and variance known, calculate the P-value for each…
A: The null and alternative hypothesis isH0:=6H1:<6The test is left tailed test
Q: You wish to test the following claim (Ha) at a significance level of α=0.05. Ho:µ=69.4…
A: From the given information we have the null and alternative hypothesis are sample size(n) = 54sample…
Q: ou wish to test the following claim (HaHa) at a significance level of α=0.10. Ho:μ=87.8…
A: The summary of statistics is, M=92.3,s=11.1,n=104 The null and alternative hypothesis is,…
Q: You wish to test the following claim (H.) at a significance level of a = 0.01. H,:µ = 84.5 Ha:µ +…
A: Given :
Q: You wish to test the following claim (HaHa) at a significance level of α=0.05. Ho:μ=82.1…
A: When population sd is unknown it is better to use t distribution.
Q: You wish to test the following claim (a) at a significance level of a = 0.005. Ho : μ = 57.9…
A: Given M=53.2, n=26, SD=10.9HypothesesH0: μ=57.9Ha :μ≠57.9Significance level α=0.005
Q: i) probability density (p.d a.) f(x) = {kx(1 - x²) Show that the value of k must be
A: The pdf of x is f(x)=kx(1-x2) 0≤x≤10 otherwise
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A:
Q: You wish to test the following claim (HaHa) at a significance level of α=0.005. Ho:μ=55.7…
A: Given: Sample size (n) = 4 Sample mean (M) = 62.4 Standard deviation (SD) = 11.2 Level of…
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A: Solution : Given that sample size n=16 sample standard deviation s=5 and sample mean x¯=100 claim…
Q: You wish to test Ho: µ = 54.3 versus Ha:µ > 54.3 at a significance level of 0.05. You obtain a…
A: Suppose μ is the population mean.
Q: You wish to test the following claim (Ha) at a significance level of α=0.05. Ho:µ=69.4…
A: The objective of this question is to test the claim that the population mean is less than 69.4 at a…
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Q: You wish to test the following claim (Ha) at a significance level of a = 0.001. 69.9 Ha:µ # 69.9 You…
A: The random variable X follows normal distribution. We have to test whether the population mean is…
Q: Scores on a certain "IQ" test for 18-25 year olds are normally distributed. A researcher believes…
A:
Q: It was reported that last year the average price of gallons of gasoline in a city X was $3.15. This…
A: Ho:u=3.15 vs H1: u<3.15 xbar=3.10, n=50, σ=0.15
Q: For the hypothesis test Ho: u = 8 against H1:µ < 8 and variance known, calculate the P-value for…
A: Given that H0: μ=8 against H1: μ<8
Q: Scores on a certain “IQ" test for 18-25 year olds are normally distributed. A researcher believes…
A: Given We have given p-value = 0.337 and level of significance α=0.05
Q: You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001.…
A: The null and alternative hypothesis is, significance level, α=0.001 The type of test is left…
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A: Given that Sample size n =62 Sample mean =260 Standard deviation =30.3 NOTE:- According to bartleby…
Q: You wish to test Ho: μ = 87.5 versus Ha: 87.5 at a significance level of 0.10. You obtain a sample…
A: (a) The hypothesis test is; H0: μ=87.5vs Ha: μ≠87.5significance level(α) = 0.10sample size(n) =…
Q: You wish to test the following claim (HaHa) at a significance level of α=0.05. Ho:μ=57.2…
A: Given that Ho:μ=57.2Ha:μ≠57.2 Mean=69.6 SD=11.7 α=0.05 Now calculating test statistics t=x…
Q: ou wish to test the following claim (HaHa) at a significance level of α=0.001. Ho:μ=90.9…
A: The following information has been provided: The sample size is n=583. The sample mean is x¯=91.7.…
Q: You wish to test the following dairn (Ha)et a significance level of a - 0.10. Hoia - 56.8 Haiju 56.8…
A: Given data: Question:1 Significance level = 0.10
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- You wish to test the following claim (HaHa) at a significance level of α=0.10. Ho:μ=61.2 Ha:μ>61.2You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=104 with mean M=64.8 and a standard deviation of SD=20.3.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 or greater than α (choose one) ________________The calibration of a scale is to be checked by weighing a 10-kg test specimen 25 times. Suppose that the results of different weighings are independent of one another and that the weight on each trial is normally distributed with = 0.2 kg. Let μ denote the true average weight reading on the scale. (a) What hypotheses should be tested? (b) What is the p-value when = 9.85? What would you conclude at significance level a = 0.01?Researchers wanted to know if therapy could help smokers quit smoking. Of the 71 smokers they tested, 39 were smoking one year after treatment. Use a 0.05 significance level to test the claim that the majority are smoking one year after treatment. What is/are the critical value(s)? ттT Arial 3 (12pt) v TE -E · -
- 1) Your instructor tells you that past average scores for the final exam are 75%. But this semester he has been using online quizzes to help your class better prepare for the final. Your class scored the following on the final exam: mean= 80% with a 10% standard deviation. There are 49 people in your class. Using a one-sample t test, what is your t score for this class? Assuming α = .05, did the online quizzes help your class perform better?Scores on a certain "IQ" test for 18-25 year olds are normally distributed. A researcher believes that the average IQ score for students at a certain NJ college is less than 110 points, and so wants to test this hypothesis. The researcher obtain a SRS of 45 student IQ scores from school records and found the mean of the 45 results was 108 with a sample standard deviation of 21. The level of significance (alpha) used for this problem is 0.05. What is the appropriate test statistic (Student must complete by showing by formula using the ap- propriate values in that formula "showing work" and the final answer and appropriate label)? O T test score = (108-110)/(21/sqrt(45)) = -.639 T test score (108-110)/(21/sqrt(45)) = .639 %3D OT test score = (110-108)/(21/sqrt(45)) = .639 %3D T test score (108-110)/(45/sqrt(21)) =-.2037 %3D 素You wish to test the following claim (Ha) at a significance level of α=0.02. Ho:μ=63.3 Ha:μ>63.3You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=62 with mean M=68 and a standard deviation of SD=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 = The p-value is... less than (or equal to) α greater than α 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 63.3. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 63.3. The sample data support the claim that the population mean is greater…
- You wish to test the following claim (H,) at a significance level of a = 0.10. H.:u = 53.6 Ha:u + 53.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 105 with mean M = 55.6 and a standard deviation of SD = 14.4. 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.. O less than (or equal to) o O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that.. O There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 53.6. O There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 53.6. O The sample data support the claim that the population mean…A random sample of 23 bags of apples (marked as 10 pounds each) received by a large grocery chain tested out as having a mean of 9.2 pounds with a variance of 2.56 pounds. Test whether the true mean of all bags is under 10 pounds. Set up hypotheses. Perform the appropriate test by showing your formula. Interpret the results using a Type I (alpha) error of .05. Also provide the p value here. Also construct a 95% confidence interval around your sample mean (X bar) that should contain the true mean (mu). Also interpret this interval.Scores on an IQ test are normally distributed. A sample of 25 IQ scores had variance of 64. The developer of the test claims that the population standard deviation is 15. Do these data provide sufficient evidence to significance? Use α=0.05α=0.05 . Answer the following questions. (a) What is the parameter? . (input as "mean", "standard deviation", "variance" or "proportion") (b) Determine if the alternative hypothesis is "right", "left" or "two-tailed" test. (input as "right", "left" or "two-tailed") (c) Test by using a confidence interval. Round confidence interval to nearest thousandth. (e.g. 0.1345 would be entered as 0.135) between ( and ) (d) State conclusion.: There is (input as "sufficient" or "insufficient") to (input as "conclude" or "reject") to conclude that the population standard deviation of IQ test is 15.
- You wish to test the following claim (Ha) at a significance level of a = 0.001. Ho:µ = 60.5 Ha:µ + 60.5 You believe the population is normally distributed and you know the standard deviation is o = 11.1 You obtain a sample mean of M = 56.9 for a sample of size n = 39. 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. O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 60.5. O There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 60.5. O The sample data support the claim that the population mean is not equal to 60.5. O…You wish to test the following claim (Ha) at a significance level of α=0.001. Ho:μ=66.6 Ha:μ≠66.6You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=24 with mean M=60 and a standard deviation of SD=14.7.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 which.... less than (or equal to) α greater than αYou wish to test the following claim (Ha) at a significance level of a = 0.02. Ho:μι ≥ με Ha:μι < με You believe both populations are normally distributed, but you do not know the standard deviations for either. You obtain a sample of size ni You obtain a sample of size n₂ = = 12 with a mean of M₁ 13 with a mean of M2 test statistic = p-value = = - 10.6. 53 and a standard deviation of SD1 59.5 and a standard deviation of SD₂ = 9.7. [three decimal accuracy] [three decimal accuracy] =