posted by .

16-To test the hypothesis H0 : ì = 100 against H1 : ì > 100, a statistics practioner randomly sampled T
observations and found the mean x = 106 and the standard deviation sx = 35. The value of the test
statistic is equal to
(1) 1.1743
(2) −1.7143
(3) 0.1714
(4) 17.143
(5) 1.7143

18-Suppose we want to test the null hypothesis H0 : ì = 400 against H1 :ì < 400. The test statistic is
calcuated as −1.23 and the two-tailed critical value is 1.96. The appopriate p–value will be
(1) −0.0500
(2) 0.3907
(3) 0.1093
(4) 0.8907
(5) −0.1093

19- Determine the p–value associated with the values of the standardized test statistic z = 1.05 for one-tail
test.
(1) 0.3531
(2) 0.1469
(3) 0.8531
(4) 0.0146
(5) 0.2938

20-Using the confidence interval when conducting a two-tail test for the population mean, we do not reject
the null hypothesis if the hypothesized value:
(1) is to the left of the lower confidence limit
(2) is to the right of the upper confidence limit
(3) falls between the lower and upper confidence limits
(4) falls in the rejection region
(5) all the above statements are correct

16. Your fail to indicate your sample size to determine the standard error of the mean. SE = SD/√(n-1) is needed to determine the significance of difference between means.

However, it seems like the alternatives are using the SD rather than SE. Then Z = (x - μ)/SD =
(106-100)/35 = 6/35 = .1714

18. Your H1 indicates a one-tailed test, but you are using a two-tailed critical value. I'm not sure what you are looking for with the "p-value." If this is probability of Alpha error, then .1093 is correct.

19. I'm not sure what you are looking for with the "p-value." If this is probability of Alpha error, then .1469 is correct.

20. Correct

## Similar Questions

1. ### STATS

Given a sample size of 18, with sample mean 660.3 and sample standard deviation 95.9 we are to perform the following hypothesis test. Null Hypothesis H0: ƒÊ = 700 Alternative Hypothesis H0: ƒÊ ‚ 700 At significance level 0.05 …
2. ### stats

A statistics practitioner wishes to test the following hypothesis: H0 : ì = 600 against H1 : ì < 600 A sample of 50 observations yielded the statistics: mean x = 585 and standard deviation sx = 45. The test statistic of a test …
3. ### stats

To test the hypothesis H0 : ì = 100 against H1 : ì > 100, a statistics practioner randomly sampled T observations and found the mean x = 106 and the standard deviation sx = 35. The value of the test statistic is equal to (1) 1.1743 …
4. ### statistics

A sample of 40 observations is selected from one approximately normal population. The sample mean is 102 and the sample standard deviation is 5. A sample of 50 observations is selected from a second source. The sample mean is 99 and …
5. ### statistics

A sample of 40 observations is selected from one approximately normal population. The sample mean is 102 and the sample standard deviation is 5. A sample of 50 observations is selected from a second source. The sample mean is 99 and …
6. ### statistics

Given a sample size of 38, with sample mean 660.3 and sample standard deviation 95.9 we are to perform the following hypothesis test. Null Hypothesis H0: ƒÊ = 700 Alternative Hypothesis H0: ƒÊ ‚ 700 At significance level 0.05 …
7. ### statistics

a. A statistics practitioner randomly sampled 100 observations from a population with a standard deviation of 5 and found that x is 10. Estimate the population mean with 90% confidence.
8. ### statistics

Starting with a population that is normally distributed with a mean of 100 and a standard deviation of 12, answer the following questions (if possible). a. What is the probability of randomly drawing a single score between 100 and …
9. ### statistics

a.a statistics practitioner randomly sampled 100 observations from a population with a standard deviation of 5 and found that x is 10. Estimate the population mean with 90% confidence. Repeat (a) with a sample sixe of 25
10. ### statistics

Sign in Assume that the mean score on a certain aptitude test across the nation is 100, and that the standard deviation is 20 points. Find the probability that the mean aptitude test score for a randomly selected group of 150 8th graders …

More Similar Questions