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Suppose that for some hypothesis test on the mean of a normally distributed population, standard deviation known, the P...
Given a normally distributed population with known standard deviation of o = 4, and suppose we...
Given a normally distributed population with known standard deviation of o = 4, and suppose we would like to test Hair = 14 against H.:p> 14 and significance level a = .05 a) If the null hypothesis is true, what is the probability that we would reject it in favor of the alternative hypothesis? b) Taking a random sample of n= 10 from the population and find that the sample mean is a 16.5. Give the observed value z 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...
Part A. Score on 25 point test is normally distributed with mean 22 and standard deviation...
Part A. Score on 25 point test is normally distributed with mean 22 and standard deviation 5. You took a sample of 9 students. The mean for this group is 19.111111 Test the hypothesis that the performance of this group is different than the regular group. Use α=.05. What is the alternative hypothesis? What is the rejection region? Calculated z What is your decision? Yes or no? You believe that the group from an honors and would perform better than...
Suppose scores of a standardized test are normally distributed and have a known population standard deviation...
Suppose scores of a standardized test are normally distributed and have a known population standard deviation of 8 points and an unknown population mean. A random sample of 25 scores is taken and gives a sample mean of 93 points. Find the margin of error for a confidence interval for the population mean with a 98% confidence level. z0.10 z0.05 z0.025 z0.01 z0.005 1.282 1.645 1.960 2.326 2.576 You may use a calculator or the common z values above. Round...
We want to estimate the mean starting salary in a population of graduates. Approximately normally distributed....
We want to estimate the mean starting salary in a population of graduates. Approximately normally distributed. Standard deviation = 10 In a random sample of 31 graduates, the mean starting salary was 61.8 and the standard deviation was 12. 1. What is the lower (smaller) endpoint of the 90% confidence interval for the population mean? 2. What is the upper (larger) endpoint of the 90% confidence interval for the population mean? 3. If null hypothesis = 60 and alternate hypothesis...
If we wish to carry out inference procedures on the mean of a normally distributed population...
If we wish to carry out inference procedures on the mean of a normally distributed population where sigma is known, we a) Click for List - should use the distribution. b) Click for List Both the t distribution and the standard normal distribution have a median of O. c) Click for List For the t distribution, the mean and variance are always equal. d) Click for List The t distribution has more area in the tails than the standard normal...
A random sample of size n= 15 obtained from a population that is normally distributed results...
A random sample of size n= 15 obtained from a population that is normally distributed results in a sample mean of 45.8 and sample standard deviation 12.2. An independent sample of size n = 20 obtained from a population that is normally distributed results in a sample mean of 51.9 and sample standard deviation 14.6. Does this constitute sufficient evidence to conclude that the population means differ at the a = 0.05 level of significance? Click here to view the...
The weight (in pounds) for a population of school-aged children is normally distributed with a mean...
The weight (in pounds) for a population of school-aged children is normally distributed with a mean equal to 133 ± 21 pounds (μ ± σ). Suppose we select a sample of 100 children (n = 100) to test whether children in this population are gaining weight at a 0.05 level of significance. a. What are the null and alternative hypotheses? b. What is the critical value for this test? c. What is the mean of the sampling distribution? d. What...
Suppose a mutual fund qualifies as having moderate risk if the standard deviation of its monthly...
Suppose a mutual fund qualifies as having moderate risk if the standard deviation of its monthly rate of return is less than 5% A mutual fund rating agency randomly selects 28 months and determines the rate of return for a certain fund. The standard deviation of the rate of return is computed to be 3 54% Is there sufficient evidence to conclude that the fund has moderate risk at the a= 0.05 level of significance? A normal probablity plot indicates...
In a test of hypothesis, the null hypothesis is that the population mean is equal to...
In a test of hypothesis, the null hypothesis is that the population mean is equal to 90 and the alternative hypothesis is that the population mean is not equal to 90. The test is to be made at the 10% significance level. A sample of 100 elements selected from this population produced a mean of 84 and a standard deviation of 8. What is the value of the observed test statistic, z?
Given a normally distributed population with known standard deviation of o = 4, and suppose we would like to test Hair = 14 against H.:p> 14 and significance level a = .05 a) If the null hypothesis is true, what is the probability that we would reject it in favor of the alternative hypothesis? b) Taking a random sample of n= 10 from the population and find that the sample mean is a 16.5. Give the observed value z of...
We want to estimate the mean starting salary in a population of graduates. Approximately normally distributed. Standard deviation = 10 In a random sample of 31 graduates, the mean starting salary was 61.8 and the standard deviation was 12. 1. What is the lower (smaller) endpoint of the 90% confidence interval for the population mean? 2. What is the upper (larger) endpoint of the 90% confidence interval for the population mean? 3. If null hypothesis = 60 and alternate hypothesis...
If we wish to carry out inference procedures on the mean of a normally distributed population where sigma is known, we a) Click for List - should use the distribution. b) Click for List Both the t distribution and the standard normal distribution have a median of O. c) Click for List For the t distribution, the mean and variance are always equal. d) Click for List The t distribution has more area in the tails than the standard normal...
A random sample of size n= 15 obtained from a population that is normally distributed results in a sample mean of 45.8 and sample standard deviation 12.2. An independent sample of size n = 20 obtained from a population that is normally distributed results in a sample mean of 51.9 and sample standard deviation 14.6. Does this constitute sufficient evidence to conclude that the population means differ at the a = 0.05 level of significance? Click here to view the...
Suppose a mutual fund qualifies as having moderate risk if the standard deviation of its monthly rate of return is less than 5% A mutual fund rating agency randomly selects 28 months and determines the rate of return for a certain fund. The standard deviation of the rate of return is computed to be 3 54% Is there sufficient evidence to conclude that the fund has moderate risk at the a= 0.05 level of significance? A normal probablity plot indicates...
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