The time needed for college students to complete certain paper-and-pencil maze follows normal distribution with mean of 30 seconds and population standard deviation of 2.8 seconds. You wish to see if the mean time is changed by vigorous exercise, so you have group of 20 college students exercise vigorously for 30 minutes and then complete the maze. It takes them an average of 27.6 seconds to complete the maze. Use this information to test the hypotheses Ho : μ = 30 H1 : μ ≠ 30 Conduct a test using significance level of α = 0.05. (a) The test statistic
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Step 1: State the null and alternative hypotheses Ho: μ = 30 (the mean time to complete the maze is 30 seconds) Ha: μ ≠ 30 (the mean time to complete the maze is not equal to 30 seconds) Show more…
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The time needed for college students to complete a certain paper-and-pencil maze follows a normal distribution with a mean of 30 seconds and a standard deviation of 2.5 seconds. You wish to see if the mean time μμ is changed by vigorous exercise, so you have a group of 20 college students exercise vigorously for 30 minutes and then complete the maze. It takes them an average of x¯=29.3 seconds to complete the maze. Use this information to test the hypotheses H0:μ=30 Ha:μ≠30 Conduct a test using a significance level of α=0.01 (a) The test statistic (b) The positive critical value, z0= (c) The final conclusion is A. There is not enough evidence to support the claim.. B. There is enough evidence to support the claim.
Adi S.
Suman K.
The time needed for college students to complete a certain paper-and-pencil maze follows a Normal distribution with a mean of 30 seconds and a standard deviation of 3 seconds. You wish to see if the mean time is changed by vigorous exercise, so you have a group of nine college students exercise vigorously for 30 minutes and then complete the maze. Assume that remains unchanged at 3 seconds. The hypotheses you decide to test are H0: = 30 versus Ha: 30. Suppose you compute the average time that it takes these students to complete the maze and you find that the results are significant at the 5% level. What can you conclude? A) The test would also be significant at the 10% level. B) The test would also be significant at the 1% level. C) Both of the above D) None of the above
Ariana N.
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