9.39 Consider Ho: u 80 versus H 80 for a population that is normally distributed a....
Using a random sample of 28 observations from a normally distributed population, Mike tested the null hypothesis of the population mean that Ho: p=30 against Hy: #30 at a significance level of 0.05 and rejected the null hypothesis. This means that: A. If the null hypothesis is really true, then the probability that Mike rejects it is 0.05. B. Mike needs a larger sample size. OC. If Mike uses another sample of 28 observations he will reject Ho again. OD....
Arandom sample of 21 observations taken from a population that is normally distributed produced a sample mean of 58.5 and a standard deviation of 7.5. Find the range for the p-value and the critical and observed values of tfor the following test of hypothesis, using a = 0.01. Ho: = 55 versus H: > 55. Use the t distribution table to find a range for the p-value Round your answers for the values oft to three decimal places. <p-value torta...
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...
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...
Consider the following hypotheses: Ho: 4 = 150 HA: H < 150 A sample of 80 observations results in a sample mean of 144. The population standard deviation is known to be 28. (You may find it useful to reference the appropriate table: z table or t table) a-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal...
(1 point) A sample of 6 measurments, randomly selected from a normally distributed population, resulted in a sample mean, t = 7.7 and sample standard deviation s = 1.2. Using a = 0.05, test the null hypothesis that the mean of the population is 7.2 against the alternative hypothesis that the mean of the population, j < 7.2 by giving the following: (a) the degree of freedom (b) the critical t value (c) the test statistic The final conclustion is...
(1 point) A sample of 6 measurments, randomly selected from a normally distributed population, resulted in a sample mean x = 7.5 and sample standard deviation s = 1.08. Using a = 0.01, test the null hypothesis that the mean of the population is 8.1 against the alternative hypothesis that the mean of the population is less than 8.1 by giving the following: (a) the degree of freedom (b) the critical t value (c) the test statistic The final conclusion...
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(1 point) A random sample of 100 observations from a population with standard deviation 13.83 yielded a sample mean of 92.3. Given that the null hypothesis is u = 90 and the alternative hypothesis is u > 90 using a = .05, find the following: (a) Test statistic: (b) P-value: DOO The conclusion for this test...
In order to test Ho: Mo = 40 versus H1:# 40, a random sample of size n = 25 is obtained from a normal population with a known o = 6. My x-BAR mean is 42.3 from my sample. Using a TI 83/84 calculator, calculate my P-value with the appropriate Hypothesis Test. Use a critical level a = 0.01 and decide to Accept or Reject Ho with the valid reason for the decision. My P-value greater than a Alpha, so...
A random sample of 18 observations taken from a population that is normally distributed produced a sample mean of 42.4 and a standard deviation of 8. Find the range for the p- value and the critical and observed values of t for each of the following tests of hypotheses using, a = 0.01. Use the t distribution table to find a range for the p-value. Round your answers for the values of t to three decimal places. a. Ho:u= 46...