Suppose H0: μ <= 5 and Ha : μ > 5. If σ is known, what...
Suppose H0: μ <= 5 and Ha : μ >
5.
If σ is known, what is (are) the critical values for the hypothesis
test at 0.01 significance level?
Suppose H0: μ = 5 and Ha : μ ≠
5.
If σ is known, what is (are) the critical values for the hypothesis
test at 0.01 significance level?
Suppose H0: μ => 5 and Ha : μ <
5.
If σ is known, what is (are) the critical values for the hypothesis
test at 0.01 significance level?
Homework Answers
Q-3) 6 marks Hypothesis test for μ when σ is known. Suppose that the time it takes an electronic ...
Q-3) 6 marks Hypothesis test for μ when σ is known. Suppose that the time it takes an electronic device in a car to respond to a signal from the toll plaza is normally distributed with mean 160 microseconds and standard deviation 30 microseconds. We would like to simulate 20 samples of size 25 to test the alternative hypothesis of the mean response time different from 160 microseconds at the level of significance 5%. MTB > random 20 cl-c25; SUBC>...
A researcher is interested in testing the hypothesis H0 : μ = 8 vs H1 : μ...
A researcher is interested in testing the hypothesis H0 : μ = 8 vs H1 : μ > 8, using a sample of size 81. The population standard deviation is known to be σ = 5. The researcher decides to reject H0 if X ≥ 9. What is the significance level of this hypothesis test? Assume that the population is normal. Express your answer as a decimal (not as a percentage).
Consider the following hypotheses: H0: μ = 420 HA: μ ≠ 420 The population is normally...
Consider the following hypotheses: H0: μ = 420 HA: μ ≠ 420 The population is normally distributed with a population standard deviation of 72. Use Table 1. a. Use a 1% level of significance to determine the critical value(s) of the test. (Round your answer to 2 decimal places.) Critical value(s) ± b-1. Calculate the value of the test statistic with x−x− = 430 and n = 90. (Round your intermediate calculations to 4 decimal places and final answer to...
For each of the following situations, calculate the p-value and determine if H0 is rejected at...
For each of the following situations, calculate the p-value and determine if H0 is rejected at a 5% significance level with the test statistic, -1.94. All numbers should be reported to four decimal places. a) Consider a hypothesis test concerning a population mean with σ known and n = 1300. As stated above the test statistic is -1.94. H0: μ = 656 Ha: μ < 656 i) What is the p-value? ii) Will H0 be rejected in part a)? iii)...
You are conducting a significance test of H0: μ = 5 against Ha: μ > 5....
You are conducting a significance test of H0: μ = 5 against Ha: μ > 5. After checking the conditions are met from a simple random sample of 30 observations, you obtain t = 2.35. Based on this result, describe the p-value. The p-value falls between 0.15 and 0.2. The p-value falls between 0.025 and 0.05. The p-value falls between 0.01 and 0.02. The p-value falls between 0.005 and 0.01. The p-value is less than 0.005.
Consider the following hypotheses: H0: μ ≥ 167 HA: μ < 167 A sample of 71...
Consider the following hypotheses: H0: μ ≥ 167 HA: μ < 167 A sample of 71 observations results in a sample mean of 165. The population standard deviation is known to be 25 . a-1. Calculate the value of the test statistic a-2. Find the p-value. b. Does the above sample evidence enable us to reject the null hypothesis at α = 0.05? c. Does the above sample evidence enable us to reject the null hypothesis at α = 0.01?...
The one-sample t statistic for testing H0: μ = 40 Ha: μ ≠ 40 from a...
The one-sample t statistic for testing H0: μ = 40 Ha: μ ≠ 40 from a sample of n = 13 observations has the value t = 2.77. (a) What are the degrees of freedom for t? (b) Locate the two critical values t* from the Table D that bracket t. < t < (c) Between what two values does the P-value of the test fall? 0.005 < P < 0.01 0.01 < P < 0.02 0.02 < P <...
#1 part A.) To test H0: μ=100 versus H1: μ≠100, a random sample of size n=20...
#1 part A.) To test H0: μ=100 versus H1: μ≠100, a random sample of size n=20 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below. (aa.) If x̅=104.4 and s=9.4, compute the test statistic. t0 = __________ (bb.) If the researcher decides to test this hypothesis at the α=0.01 level of significance, determine the critical value(s). Although technology or a t-distribution table can be used to find the critical value, in...
(a) Suppose the null and alternative hypothesis of a test are: H0: μ= 9.7 H1: μ...
(a) Suppose the null and alternative hypothesis of a test are: H0: μ= 9.7 H1: μ >9.7 Then the test is: left-tailed two-tailed right-tailed (b) If you conduct a hypothesis test at the 0.02 significance level and calculate a P-value of 0.07, then what should your decision be? Fail to reject H0 Reject H0 Not enough information is given to make a decision
Consider the following hypothesis test. H0: μ ≤ 50 Ha: μ > 50 A sample of...
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...
Q-3) 6 marks Hypothesis test for μ when σ is known. Suppose that the time it takes an electronic device in a car to respond to a signal from the toll plaza is normally distributed with mean 160 microseconds and standard deviation 30 microseconds. We would like to simulate 20 samples of size 25 to test the alternative hypothesis of the mean response time different from 160 microseconds at the level of significance 5%. MTB > random 20 cl-c25; SUBC>...
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