You are given the following information obtained from a random sample of five observations. 20 18...
You are given the following information obtained from a random
sample of five observations.
|
20 |
18 |
17 |
22 |
18 |
At a 10% level of significance, use Excel to determine whether or not the mean of the population from which this sample was taken is significantly less than 21. (Assume the population is normally distributed.)
Complete the following table with your Excel functions and the corresponding values. The sample size row is an example. Sate your conclusion about the sample observations compared to the test value of 21.
|
|
Conclusion: ___________________________________________________________________ _____________________________________________________________________________ |
Homework Answers
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You are given the following information obtained from a random
sample of five observations.
20
18...
A random sample of five observations from three normally distributed populations produced the following data: (You...
A random sample of five observations from three normally distributed populations produced the following data: (You may find it useful to reference the F table.) Treatments A C 20 1 9 25 25 22 27 21 24 24 26 2.1 22 23 19 XR - 23 SR6.5 S 4.5 S 4.5 Click here for the Excel Data File f. At the 5% significance level, what is the conclusion to the test? Reject Ho since the p-value is less than significance...
The following information was obtained from matched samples. The daily production rates for a sample of...
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Score: Uoll Out 10.3.7 <20, a simple random sample of size n=18 is obtained from a...
Score: Uoll Out 10.3.7 <20, a simple random sample of size n=18 is obtained from a population that is known to be normally distributed. Answer parts (Hd) To test Hou= 20 versus H BEE Click here to view the t-Distribution Area in Right Tail (a) If x= 18 and s=4.4, compute the test statistic. t= (Round to two decimal places as needed.)
3. A random sample of size 21 from a normal distribution with mean u yields observations...
3. A random sample of size 21 from a normal distribution with mean u yields observations that are summarized as follows: • ī= 3.5 . 511(2-1) = 0.6156 You are testing the following hypotheses: • H,:=3 • Ha:p #3 Let tay be the critical value of a t random variable with v degrees of freedom. The following table lists values of tay for specific combinations of a and v: v = 20 v=21 a = 0.005 2.845 2.831 a =...
20 is obtained from a 18 Asimple random sample of size n ulation with -64 and...
20 is obtained from a 18 Asimple random sample of size n ulation with -64 and ơ 17. (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities involving the sample mean? Assuming that this condition is true, describe the sampling distribution of J. (b) Assuming that the requirements described in part (a) are satisfied, determine P(<67.3). (c) Assuming that the requirements described in part (a) are satisfied, determine...
9.138 Consider a random sample of size 20 from a normal population with hypothesized mean 1.618. ...
9.138 Consider a random sample of size 20 from a normal population with hypothesized mean 1.618. a. Write the four parts for a one-sided, left-tailed hypothesis test concerning the population mean with α 0.05. b. Suppose x = 1.5 and s = 0.45. Find the value of the test statistic, and draw a conclusion about the population mean. c. Find the p value associated with this hypothesis test.
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A sample of 48 observations is selected from a normal population. The sample mean is 22,...
A sample of 48 observations is selected from a normal population. The sample mean is 22, and the population standard deviation is 6. Conduct the following test of hypothesis using the 0.05 significance level. H0: μ ≤ 21 H1: μ > 21 What is the p-value? (Round your answer to 4 decimal places.)
A random sample of 18 observations taken from a population that is normally distributed produced a...
A random sample of 18 observations taken from a population that is normally distributed produced a sample mean of 58.5 and a standard deviation of 7.5. Find the range for the p-value and the critical and observed values of t for the following test of hypothesis, using α=0.01. H0: μ=55 versus H1: μ≠55. Round your answers for the values of t to three decimal places. Choose your answer; the range for the p-value ...
Consider two populations. A random sample of 15 observations from the first population revealed a sample...
Consider two populations. A random sample of 15 observations from the first population revealed a sample mean of 300 and a sample standard deviation of 12. A random sample of 18 observations from the second population revealed a sample mean of 293 and a sample standard deviation of 14. Test the hypotheses H0 : μ1 − μ2 = 0 and H1 : μ1 − μ2 ≠ 0 ，respectively. (a) Calculate the pooled estimate of the population variance. (b) Test the...
B r u· B-I et . A . E 리 트프 $-% , MAS Fond tin al For atas Shell. Insert Deine Format I Merge &...
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B r u· B-I et . A . E 리 트프 $-% , MAS Fond tin al For atas Shell. Insert Deine Format I Merge & Center . Formatting Table Styles- Font Alignment cear. Cels l Hypothesis Test About a Population Mean with o unknown alue est Sample Size Sample Mean Sample Standard Deviat 40.0000 7.1944 0.9846 Sate the Hypotheses Find the test statistic, t Cuncusion Ho: μ = 7 1.2486 Hypothesized Value 7.0000 State...
A random sample of five observations from three normally distributed populations produced the following data: (You may find it useful to reference the F table.) Treatments A C 20 1 9 25 25 22 27 21 24 24 26 2.1 22 23 19 XR - 23 SR6.5 S 4.5 S 4.5 Click here for the Excel Data File f. At the 5% significance level, what is the conclusion to the test? Reject Ho since the p-value is less than significance...
Score: Uoll Out 10.3.7 <20, a simple random sample of size n=18 is obtained from a population that is known to be normally distributed. Answer parts (Hd) To test Hou= 20 versus H BEE Click here to view the t-Distribution Area in Right Tail (a) If x= 18 and s=4.4, compute the test statistic. t= (Round to two decimal places as needed.)
3. A random sample of size 21 from a normal distribution with mean u yields observations that are summarized as follows: • ī= 3.5 . 511(2-1) = 0.6156 You are testing the following hypotheses: • H,:=3 • Ha:p #3 Let tay be the critical value of a t random variable with v degrees of freedom. The following table lists values of tay for specific combinations of a and v: v = 20 v=21 a = 0.005 2.845 2.831 a =...
20 is obtained from a 18 Asimple random sample of size n ulation with -64 and ơ 17. (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities involving the sample mean? Assuming that this condition is true, describe the sampling distribution of J. (b) Assuming that the requirements described in part (a) are satisfied, determine P(<67.3). (c) Assuming that the requirements described in part (a) are satisfied, determine...
9.138 Consider a random sample of size 20 from a normal population with hypothesized mean 1.618. a. Write the four parts for a one-sided, left-tailed hypothesis test concerning the population mean with α 0.05. b. Suppose x = 1.5 and s = 0.45. Find the value of the test statistic, and draw a conclusion about the population mean. c. Find the p value associated with this hypothesis test.
9.138 Consider a random sample of size 20 from a normal population...
state rejection rule and conclusion
B r u· B-I et . A . E 리 트프 $-% , MAS Fond tin al For atas Shell. Insert Deine Format I Merge & Center . Formatting Table Styles- Font Alignment cear. Cels l Hypothesis Test About a Population Mean with o unknown alue est Sample Size Sample Mean Sample Standard Deviat 40.0000 7.1944 0.9846 Sate the Hypotheses Find the test statistic, t Cuncusion Ho: μ = 7 1.2486 Hypothesized Value 7.0000 State...
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