Suppose a study is done to test the null hypothesis H0: 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...
Given the following hypothesis: H0 : μ ≤ 12 H1 : μ > 12 For a random sample of 10 observations, the sample mean was 14 and the sample standard deviation 4.80. Using the .05 significance level: (a) State the decision rule. (Round your answer to 3 decimal places.) (Click to select)Cannot rejectReject H0 if t > (b) Compute the value of the test statistic. (Round your answer to 2 decimal places.) Value of the test statistic (c)...
Consider the following hypothesis test. H0: μ ≤ 25 Ha: μ > 25 A sample of 47 provided a sample mean of 26.9. The sample standard deviation is 6 and the test statistic is 2.171 Determine the p-value for the given test statistic in this problem. Round your answer to three decimal places.
Given the following hypotheses: H0: μ ≤ 13 H1: μ > 13 A random sample of 10 observations is selected from a normal population. The sample mean was 11 and the sample standard deviation 3.6. Using the 0.05 significance level: State the decision rule. (Round your answer to 3 decimal places.) Compute the value of the test statistic. (Negative answers should be indicated by a minus sign. Round your answer to 3 decimal places.) What is your decision regarding the...
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 = 4.28. (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. p-value > 0.2000.100 < p-value < 0.200 0.050 < p-value < 0.1000.025 < p-value < 0.0500.010 < p-value < 0.025p-value <...
#3 Given the following hypotheses: H0: μ = 520 H1: μ ≠ 520 A random sample of 18 observations is selected from a normal population. The sample mean was 529 and the sample standard deviation was 5. Using the 0.01 significance level: State the decision rule. (Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.) Compute the value of the test statistic. (Round your answer to 3 decimal places.) What is your decision...
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.)