Suppose a study is done to test the null hypothesis H_{0}: μ = 100. A random sample of n = 42 observations results in x = 104 and s = 11.
(a) What is the null standard error in this case? (Round your
answer to three decimal places.)
(b) Plug numbers into the formula and enter the result in the
answer box. (Round your answer to three decimal places.)
Sample statistic − Null value |
Null standard error |
(c) On the basis of the information given, can the p-value for this test be found? If so, find it. If not, enter NONE in the answer box.
Suppose a study is done to test the null hypothesis H0: μ = 100. A random...
Test the null hypothesis H0:μ=3.2against the alternative hypothesis HA:μ<3.2, based on a random sample of 25 observations drawn from a normally distributed population with x¯=3 and σ=0.72. a) What is the value of the test statistic? Round your response to at least 3 decimal places. b) What is the appropriate p-value? Round your response to at least 3 decimal places. c) Is the null hypothesis rejected at: i) the 10% level of significance? ii) the 5% level of significance?
Test the null hypothesis H0:μ=3.2against the alternative hypothesis HA:μ<3.2, based on a random sample of 25 observations drawn from a normally distributed population with x¯=3 and σ=0.71. a) What is the value of the test statistic? Round your response to at least 3 decimal places. b) What is the appropriate p-value? Round your response to at least 3 decimal places. c) Is the null hypothesis rejected at: i) the 10% level of significance? NoYesClick for List ii) the...
Test the null hypothesis H0:μ=3.3against the alternative hypothesis HA:μ<3.3, based on a random sample of 25 observations drawn from a normally distributed population with x¯=3.1 and σ=0.68. a) What is the value of the test statistic? Round your response to at least 3 decimal places. b) What is the appropriate p-value? Round your response to at least 3 decimal places. c) Is the null hypothesis rejected at: i) the 10% level of significance? NoYesClick for List ii) the...
In a test of the hypothesis H0: μ=48 versus Ha: μ>48, a sample of n =100observations possessed mean X̄ =47.4 and standard deviation s=4.6. The p-value for this test is .902 Interpret the result. Select the correct choice below and fill in the answer box to complete your choice.(Round to three decimal places as needed.) A) The probability (assuming that Ha is true) of observing a value of the test statistic that is at most as contradictory to the null...
Suppose a random sample of 150 universities is used to test the null hypothesis that the average number of spam emails economics graduate students receive in a month is 46.92. The value of the test statistic is found to be 2.06. If the nullis tested against the alternative hypothesis that the number of spam emails is not 46.92, the smallest significance level at which you can reject the null hypothesis is (Round your answer to four decimal places.)
Suppose a random sample of 150 universities is used to test the null hypothesis that the average number of spam emails economics graduate students receive in a month is 46.92. The value of the test statistic is found to be 2.54 if the nullis tested against the alternative hypothesis that the number of spam emails is not 46.92, the smallest significance level at which you can reject the null hypothesis is (Round your answer to four decimal places.)
9 Test the null hypothesis Ho : u = 3.0against the alternative hypothesis HA: U < 3.0 , based on a random sample of 25 observations drawn from a normally distributed population with ū = 2.8 and o = 0.70. a) What is the value of the test statistic? Round your response to at least 3 decimal places. Number b) What is the appropriate p-value? Round your response to at least 3 decimal places. Number c) Is the null hypothesis...
Consider the following hypothesis test. H0: μ ≤ 50 Ha: μ > 50 A sample of 60 is used and the population standard deviation is 8. Use the critical value approach to state your conclusion for each of the following sample results. Use α = 0.05. (Round your answers to two decimal places.) (a)x = 52.5 Find the value of the test statistic. State the critical values for the rejection rule. (If the test is one-tailed, enter NONE for the...
Consider the following hypothesis test. H0: μ ≥ 10 Ha: μ < 10 The sample size is 155 and the population standard deviation is assumed known with σ = 5. Use α = 0.05. (a) If the population mean is 9, what is the probability that the sample mean leads to the conclusion do not reject H0? (Round your answer to four decimal places.) (b) What type of error would be made if the actual population mean is 9 and...
Consider the following hypothesis test. H0: μ ≤ 12 Ha: μ > 12 A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.32. (a) Compute the value of the test statistic. (Round your answer to three decimal places.) _______ (b) Use the t distribution table to compute a range for the p-value. a) p-value > 0.200 b) 0.100 < p-value < 0.200 c) 0.050 < p-value < 0.100 d) 0.025 <...