Data from a study on ice hockey player performance after electrostimulation training yields a sample standard...
Data from a study on ice hockey player performance after electrostimulation training yields a sample standard deviation of performance of 0.09 seconds with a sample size of 15.
(a) Is there strong evidence to conclude that the standard deviation of performance time exceeds the historical value of 0.75 seconds? Use α=0.05. Find the P-value for this test.
(b) Discuss how part (a) could be answered by constructing a 99% one-sided confidence interval for σ.
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Data from a study on ice hockey player performance after
electrostimulation training yields a sample standard...
A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample...
A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 15 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 14.5. (a) Is it appropriate to use a Student's t distribution? Explain. Yes, because the x distribution is mound-shaped and symmetric and σ is unknown.No, the x distribution is skewed left. No, the x distribution...
Consider the following random sample observations on stabilized viscosity of asphalt specimens. 2061 2099 1982 1842...
Consider the following random sample observations on stabilized viscosity of asphalt specimens. 2061 2099 1982 1842 2052 Suppose that for a particular application, it is required that true average viscosity be 2000. Is there evidence this requirement is not satisfied? From previous findings we know that the population standard deviation, σ State the appropriate hypotheses. (Use α-0.05.) 90.8 Ho: μ < 2000 Hai μ 2000 Ho: μ 2000 Ha: μ 2000 Ho: μ 2000 Hai μ-2000 Ho: μ > 2000...
10. If the standard deviation of hole diameter is different from 0.01 mm, there is an unaccepublyhip probability that the rivet will not fit in. Suppose sample measurements of 15 hole diameters produ...
10. If the standard deviation of hole diameter is different from 0.01 mm, there is an unaccepublyhip probability that the rivet will not fit in. Suppose sample measurements of 15 hole diameters produoed a standard deviation of 0006m, (a) Is there strong evidence to indicate that the standard deviation of hole diameter is different fromexe at a 10% level of significance? State any tecestry assumptions about the underlying annunum of m: data. (5 marks) (b) Find a range for the...
A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample...
A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 9 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 8.5. (a) Is it appropriate to use a Student's t distribution? Explain. Yes, because the x distribution is mound-shaped and symmetric and σ is unknown. No, the x distribution is skewed left. No, the...
Using the following data, conduct a hypothesis test (by hand) to see if your sample standard deviation (s) differs significantly from your population standard deviation (σ = 2). Alpha is 0.05 (α = 0.0...
Using the following data, conduct a hypothesis test (by hand) to see if your sample standard deviation (s) differs significantly from your population standard deviation (σ = 2). Alpha is 0.05 (α = 0.05). Sample data: 10, 12,10, 9, 11, 10, 11, 9, 11, 10, 9, 10, 11, 10, 8, 9, 11, 10 You will need to: a) State your alternative hypothesis and null hypothesis b) Calculate the sample standard deviation (s) c) Calculate the sample size and degrees of...
A sample of size 100, taken from a population whose standard deviation is known to be...
A sample of size 100, taken from a population whose standard deviation is known to be 8.90, has a sample mean of 51.16. Suppose that we have adopted the null hypothesis that the actual population mean is greater than or equal to 52, that is, H0 is that μ ≥ 52 and we want to test the alternative hypothesis, H1, that μ < 52, with level of significance α = 0.05. a) What type of test would be appropriate in...
Suppose a sample of 49 paired differences that have been randomly selected from a normally distributed...
Suppose a sample of 49 paired differences that have been randomly selected from a normally distributed population of paired differences yields a sample mean d⎯⎯ =4.6d¯ =4.6 of and a sample standard deviation of sd = 7.6. (a) Calculate a 95 percent confidence interval for µd = µ1 – µ2. Can we be 95 percent confident that the difference between µ1 and µ2 is greater than 0? (Round your answers to 2 decimal places.) Confidence interval = [ , ] ;...
Suppose a sample of 49 paired differences that have been randomly selected from a normally distributed...
Suppose a sample of 49 paired differences that have been randomly selected from a normally distributed population of paired differences yields a sample mean d¯ =5.0d¯ =5.0 of and a sample standard deviation of sd = 7.8. (a) Calculate a 95 percent confidence interval for µd = µ1 – µ2. Can we be 95 percent confident that the difference between µ1 and µ2 is greater than 0? (Round your answers to 2 decimal places.) Confidence interval = [ , ] ;...
1. Newborn weight. A study takes a SRS from a population of full-term infants. The standard...
1. Newborn weight. A study takes a SRS from a population of
full-term infants. The standard deviation of birth weights in this
population is 2 pounds. Calculate 95% confidence intervals for μ
for samples in which:
a) n = 81 and = 7.0 pounds
b) n = 9 and = 7.0 pounds
c) Which sample provides the most precise estimate of the mean
birth weight?
d) Interpret the CI you computed in part a).
2. P-value and confidence interval. A...
n-Class Exercise 1 Instructions: Submit your work through Blackboard by the due date. Late submissions are...
n-Class Exercise 1 Instructions: Submit your work through Blackboard by the due date. Late submissions are not allowed. You can take photos of or scan your solutions Calculate or write the formulas for each test statistic and p-value for each hypothesis test question (questions 7-10). It is true you will never have to calculate these in real life, however, you should know what Megastat, or any other statistical software, is calculating. 1) According to an IRS study, it takes a...
Consider the following random sample observations on stabilized viscosity of asphalt specimens. 2061 2099 1982 1842 2052 Suppose that for a particular application, it is required that true average viscosity be 2000. Is there evidence this requirement is not satisfied? From previous findings we know that the population standard deviation, σ State the appropriate hypotheses. (Use α-0.05.) 90.8 Ho: μ < 2000 Hai μ 2000 Ho: μ 2000 Ha: μ 2000 Ho: μ 2000 Hai μ-2000 Ho: μ > 2000...
10. If the standard deviation of hole diameter is different from 0.01 mm, there is an unaccepublyhip probability that the rivet will not fit in. Suppose sample measurements of 15 hole diameters produoed a standard deviation of 0006m, (a) Is there strong evidence to indicate that the standard deviation of hole diameter is different fromexe at a 10% level of significance? State any tecestry assumptions about the underlying annunum of m: data. (5 marks) (b) Find a range for the...
1. Newborn weight. A study takes a SRS from a population of
full-term infants. The standard deviation of birth weights in this
population is 2 pounds. Calculate 95% confidence intervals for μ
for samples in which:
a) n = 81 and = 7.0 pounds
b) n = 9 and = 7.0 pounds
c) Which sample provides the most precise estimate of the mean
birth weight?
d) Interpret the CI you computed in part a).
2. P-value and confidence interval. A...
n-Class Exercise 1 Instructions: Submit your work through Blackboard by the due date. Late submissions are not allowed. You can take photos of or scan your solutions Calculate or write the formulas for each test statistic and p-value for each hypothesis test question (questions 7-10). It is true you will never have to calculate these in real life, however, you should know what Megastat, or any other statistical software, is calculating. 1) According to an IRS study, it takes a...
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