A random sample is drawn from a distribution and the resulting population mean confidence interval for...
A random sample is drawn from a distribution and the resulting population mean confidence interval for 90% confidence level is (32.5, 38.1). The null hypothesis for the population mean is H0: μ = 33.3. Should it be accepted at 5% significance level? Justify your answer.
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A random sample is drawn from a distribution and the resulting
population mean confidence interval for...
Based on sample data, the 90% confidence interval limits for the population mean are LCL =...
Based on sample data, the 90% confidence interval limits for the population mean are LCL = 170.86 and UCL = 195.42. If the 10% level of significance were used in testing the hypotheses H0: μ = 201 vs. H1: μࣔ 201, the null hypothesis: Group of answer choices would be rejected. would be accepted. would fail to be rejected. would become H0: μࣔ 201
A 95% confidence interval for a population mean was calculated. The sample mean was found to...
A 95% confidence interval for a population mean was calculated. The sample mean was found to be 34.5 and the MOE was found to be 4.06 giving us a confidence interval of 34.5±4.06 or equivalently written as 30.44 to 38.56. (a) For the hypotheses H0:?=30 Ha:??30, would you reject the null hypothesis at the 5% level of significance (i.e. ? = 0.5)? (Type: YES or NO or CANNOT TELL): (b) For the hypotheses H0:?=41 Ha:??41, would you reject the null...
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...
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...
The observations from a random sample of n = 6 from a normal population are: 13.15,...
The observations from a random sample of n = 6 from a normal population are: 13.15, 13.72, 12.58, 13.77, 13.01, 13.06. Test the null hypothesis of H0:μ=13 against the alternative hypothesis of H1:μ<13. Use a 5% level of significance. Answer the following, rounding off your answer to three decimal places. (a) What is the sample mean? (b) What is the sample standard deviation? (c) What is the test statistic used in the decision rule? (d) Can the null hypothesis be...
Construct the indicated confidence interval for the population mean μ using the t-distribution
X6.2.9-TConstruct the indicated confidence interval for the population mean μ using the t-distribution. Assume the population is normally distributed c = 0.90, x̅ = 12.9, s = 4.0, n = 9 The 90% confidence interval using a t-distribution is 6.2.17-T In a random sample of 26 people, the mean commute time to work was 34.8 minutes and the standard deviation was 7.2 minutes. Assume the population is normally distributed and use a t-distribution to construct a 98% confidence interval for the population mean μ...
A simple random sample of size n is drawn from a population that is normally distributed
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x̅, is found to be 109 , and the sample standard deviation, 5 , is found to be 12 .(a) Construct a 96 % confidence interval about μ if the sample size, n, is 23 .(b) Construct a 96 % confidence interval about μ if the sample size, n, is 16 .(c) Construct a 90 % confidence interval about μ if...
A simple random sample of size n=40 is drawn from a population. The sample mean is...
A simple random sample of size n=40 is drawn from a population. The sample mean is found to be 106.9,and the sample standard deviation is found to be 15.1. Is the population mean greater than 100 at the α=0.025 level of significance? A) Determine the null and alternative hypotheses. B) Compute the test statistic C) Determine the P-value. (Round to three decimal places as needed.) D) What is the result of the hypothesis test? ____ the null hypothesis because the...
Use the one-mean t-interval procedure with the sample mean, sample size, sample standard deviation, and confidence...
Use the one-mean t-interval procedure with the sample mean, sample size, sample standard deviation, and confidence level given below to find a confidence interval for the mean of the population from which the sample was drawn. sample mean=3.0 n=41 s=5.4 confidence level=90% The 90% confidence interval about μ is ?? to ???
5.6.1. A random sample of size 20 is drawn from a population having a normal distribution....
5.6.1. A random sample of size 20 is drawn from a population having a normal distribution. The sample mean and the sample standard deviation from the data are given, respectively, as 2.2 and s-1.42. Construct a 90% confidence interval for the population variance σ2 and interpret.
5.6.1. A random sample of size 20 is drawn from a population having a normal distribution. The sample mean and the sample standard deviation from the data are given, respectively, as 2.2 and s-1.42. Construct a 90% confidence interval for the population variance σ2 and interpret.
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