Homework Answers
| null hypothesis: Ho: | σ = | 2.5 | |||
| Alternate hypothesis: Ha: | σ < | 2.5 | |||
| test stat : | =χ2=(n-1)s2/σ2=(10-1)*(1.7/2.5)2 = | 4.162 | ||
for (n-1=9) degree of freedom and above test statistic , p value =0.0995
as p value is greater than 0.05 level, fail to reject Ho
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2. Perform the following .05 level test: Ho: 6 = 2.5 vs. Ha: 0 < 2.5,...
3. Suppose that we are testing Ho: u = 80 vs. Ha: u <80 at the...
3. Suppose that we are testing Ho: u = 80 vs. Ha: u <80 at the .05 level and we are going to collect 10 pieces of data and o=1.2. Determine the probability of Type Il error for the alternative kl. = 79.25. ANSWER 4. Company A claims that their tires outlast the tires of Company B by more than 12.000 miles. We feel certain that Il = 62,000 ,- 5,100. Data for Company A is collected and summarized: Company...
Suppose that we are testing Ho: vs. Ha: at the .05 level and we are going...
Suppose that we are testing Ho: vs. Ha: at the .05 level and we are going to collect 10 pieces of data and . Determine the probability of Type II error for the alternative .
Please show the HOW You wish to test the following claim (Ha) at a significance level...
Please show the HOW
You wish to test the following claim (Ha) at a significance level of a 0.001 Ho: μ 88.6 Ha:μ<88.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 84.7 71.3 83.7 87.3 94.3 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic What is the p-value for this sample? (Report answer accurate to four...
Use a t-test to test the claim about the population mean μ at the given level...
Use a t-test to test the claim about the population mean μ at the given level of significance α using the given sample statistics. Assume the population is normally distributed. Claim: μ z 8300; α= 0.10 Sample statistics: x= 8100, s= 470, n= 22 18. What are the null and alternative hypotheses? ○ A. H0:1128300 O c. Ho: μ#8300 O B. Ho: μ#8300 Ha: μ = 8300 D. Ho: μ 8300 Ha: μ > 8300 Ha: μ < 8300 Ha:...
2. We wish to perform a.05 level test based on a single piece of data. The...
2. We wish to perform a.05 level test based on a single piece of data. The null and alternative are: Но : The Z-Distibution on the interval (- oM) vs. Ha : f(x)-.5 on the interval [-1, 1] a) Determine the region that yields the most powerful test. b) What is the power of this test?
25. Researchers want to test Ho: j = 120 Vs. Ha: > 120, at a significance...
25. Researchers want to test Ho: j = 120 Vs. Ha: > 120, at a significance level of 0.04. A sample of size 64 yielded a sample standard deviation of 32. What values of X will cause them to reject Ho? (a) X > 116.5 (b) X > 120 I (c) X > 123.5 (d) X > 127 (e) X > 130.5
Consider the accompanying data on breaking load (kg/25 mm width) for various fabrics in both an unabraded (U) condition and an abraded (A) condition Use the paired t test to test Ho: HD 0 versus Ha:...
Consider the accompanying data on breaking load (kg/25 mm width) for various fabrics in both an unabraded (U) condition and an abraded (A) condition Use the paired t test to test Ho: HD 0 versus Ha: HD> 0 at significance level 0.01. (Use μD-4-A.) Note: The data below is formatted such that you can copy and paste it into R. Fabric 4 u=c( 36.5, 55.0, 51.5, 38.6, 43.2, 48.8, 25.6, 49.7) A-c28.5,20.0, 46.0, 34.0, 36.5,52.5, 26.5,46.5) 1 2 3 5...
Test the claim about the population mean, H. at the given level of significance using the...
Test the claim about the population mean, H. at the given level of significance using the given sample statistics. Claim: u = 40; a=0.01; 6 = 3.56. Sample statistics: x = 38.7, n= 76 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: = 40 Ha <40 O C. Ho: u = 40 Ha: #40 O E. Ho: #40 Ha: p= 40 OB. Ho: < 40 H: H = 40 OD. Ho: > 40 Ha...
You wish to test the following claim (Ha) ata significance level of α 0.005 Ho: H...
You wish to test the following claim (Ha) ata significance level of α 0.005 Ho: H 65.3 Ha: μ < 65.3 You believe the population is normally distributed and you know the standard deviation is σ-17.2. You obtain a sample mean of M-60.5 for a sample of size n 69 What is the critical value for this test? (Report answer accurate to three decimal places.) critical value- What is the test statistic for this sample? (Report answer accurate to three...
You wish to test the following claim (Ha) at a significance level of a = 0.001....
You wish to test the following claim (Ha) at a significance level of a = 0.001. For the context of this problem, Hd = 42 Hy where the first data set represents a pre-test and the second data set represents a post-test. H:d=0 H:Hd < 0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n = 21 subjects. The average difference (post- 4.2...
3. Suppose that we are testing Ho: u = 80 vs. Ha: u <80 at the .05 level and we are going to collect 10 pieces of data and o=1.2. Determine the probability of Type Il error for the alternative kl. = 79.25. ANSWER 4. Company A claims that their tires outlast the tires of Company B by more than 12.000 miles. We feel certain that Il = 62,000 ,- 5,100. Data for Company A is collected and summarized: Company...
Please show the HOW
You wish to test the following claim (Ha) at a significance level of a 0.001 Ho: μ 88.6 Ha:μ<88.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 84.7 71.3 83.7 87.3 94.3 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic What is the p-value for this sample? (Report answer accurate to four...
Use a t-test to test the claim about the population mean μ at the given level of significance α using the given sample statistics. Assume the population is normally distributed. Claim: μ z 8300; α= 0.10 Sample statistics: x= 8100, s= 470, n= 22 18. What are the null and alternative hypotheses? ○ A. H0:1128300 O c. Ho: μ#8300 O B. Ho: μ#8300 Ha: μ = 8300 D. Ho: μ 8300 Ha: μ > 8300 Ha: μ < 8300 Ha:...
2. We wish to perform a.05 level test based on a single piece of data. The null and alternative are: Но : The Z-Distibution on the interval (- oM) vs. Ha : f(x)-.5 on the interval [-1, 1] a) Determine the region that yields the most powerful test. b) What is the power of this test?
25. Researchers want to test Ho: j = 120 Vs. Ha: > 120, at a significance level of 0.04. A sample of size 64 yielded a sample standard deviation of 32. What values of X will cause them to reject Ho? (a) X > 116.5 (b) X > 120 I (c) X > 123.5 (d) X > 127 (e) X > 130.5
Consider the accompanying data on breaking load (kg/25 mm width) for various fabrics in both an unabraded (U) condition and an abraded (A) condition Use the paired t test to test Ho: HD 0 versus Ha: HD> 0 at significance level 0.01. (Use μD-4-A.) Note: The data below is formatted such that you can copy and paste it into R. Fabric 4 u=c( 36.5, 55.0, 51.5, 38.6, 43.2, 48.8, 25.6, 49.7) A-c28.5,20.0, 46.0, 34.0, 36.5,52.5, 26.5,46.5) 1 2 3 5...
Test the claim about the population mean, H. at the given level of significance using the given sample statistics. Claim: u = 40; a=0.01; 6 = 3.56. Sample statistics: x = 38.7, n= 76 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: = 40 Ha <40 O C. Ho: u = 40 Ha: #40 O E. Ho: #40 Ha: p= 40 OB. Ho: < 40 H: H = 40 OD. Ho: > 40 Ha...
You wish to test the following claim (Ha) ata significance level of α 0.005 Ho: H 65.3 Ha: μ < 65.3 You believe the population is normally distributed and you know the standard deviation is σ-17.2. You obtain a sample mean of M-60.5 for a sample of size n 69 What is the critical value for this test? (Report answer accurate to three decimal places.) critical value- What is the test statistic for this sample? (Report answer accurate to three...
You wish to test the following claim (Ha) at a significance level of a = 0.001. For the context of this problem, Hd = 42 Hy where the first data set represents a pre-test and the second data set represents a post-test. H:d=0 H:Hd < 0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n = 21 subjects. The average difference (post- 4.2...
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