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x, Region I Data 29997881 33325146 A second random sample of n₂-15 locations in region 11 gave the following information about the number of cases of fox rabies near that location. x, Region II Data 11314854 4422569 3₂² USE SALT Use a calculator with sample mean and sample standard deviation keys to calculatex, and s, in region, and x and sin region II. (Round your answers to four decimal places) (a) Does this information indicate that there is a difference (either way) in the mean number of cases of fox rabies between the two regions? Use a 5% level of significance (Assume the distribution of rables cases in both regions is mound-shaped and approximately normal) What is the level of significance? State the null and alterate hypotheses. ⒸM₂₂ ⒸM₂ M₂ M₂ M₂ M₂ M₂ OH₂M₂M₂ M₂ M₂ M₂ ⒸH₂₂₂₂² M₂ + H₂ (4) What sampling distribution will you use? What assumptions are you making? The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations. The Student's e. We assume that both population distributions are approximately normal with known standard deviations. The standard normal. We assume that both population distributions are approximately normal with known standard deviations The Student'st. We assume that both population distributions are approximately normal with unknown standard deviations What is the value of the sample test statistic? Compute the corresponding zor z value as appropriate. (Test the difference ₂₂. Do not use rounded values. Round your final answer to three decimal places.) () Find (or estimate) the P-value OP-value 0.500 O 0.250P-value 0.500 O 0.100 < P-value < 0.250 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 OP-value < 0.010

x, Region I Data 29997881 33325146 A second random sample of n₂-15 locations in region 11 gave the following information about the number of cases of fox rabies near that location. x, Region II Data 11314854 4422569 3₂² USE SALT Use a calculator with sample mean and sample standard deviation keys to calculatex, and s, in region, and x and sin region II. (Round your answers to four decimal places) (a) Does this information indicate that there is a difference (either way) in the mean number of cases of fox rabies between the two regions? Use a 5% level of significance (Assume the distribution of rables cases in both regions is mound-shaped and approximately normal) What is the level of significance? State the null and alterate hypotheses. ⒸM₂₂ ⒸM₂ M₂ M₂ M₂ M₂ M₂ OH₂M₂M₂ M₂ M₂ M₂ ⒸH₂₂₂₂² M₂ + H₂ (4) What sampling distribution will you use? What assumptions are you making? The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations. The Student's e. We assume that both population distributions are approximately normal with known standard deviations. The standard normal. We assume that both population distributions are approximately normal with known standard deviations The Student'st. We assume that both population distributions are approximately normal with unknown standard deviations What is the value of the sample test statistic? Compute the corresponding zor z value as appropriate. (Test the difference ₂₂. Do not use rounded values. Round your final answer to three decimal places.) () Find (or estimate) the P-value OP-value 0.500 O 0.250P-value 0.500 O 0.100 < P-value < 0.250 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 OP-value < 0.010

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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A study of fox rabies in a country gave the following information about different regions and the occurrence of rabies in each region. A random sample of 

n1 = 16

 locations in region I gave the following information about the number of cases of fox rabies near that location.

x1:
   Region I Data
2 9 9 9 7 8 8 1
3 3 3 2 5 1 4 6

A second random sample of 

n2 = 15

 locations in region II gave the following information about the number of cases of fox rabies near that location.

x2:
   Region II Data
1 1 3 1 4 8 5 4
4 4 2 2 5 6 9  
X₁² Region I Data 299 978 81 3 3 3 2 5 14 6 A second random sample of n, 15 locations in region II gave the following information about the number of cases of fox rabies near that location. X₂ Region II Data 11314 854 4422569 LAUSE SALT Use a calculator with sample mean and sample standard deviation keys to calculatex, and s, in region I, and x₂ and s₂ in region II. (Round your answers to four decimal places.) (a) Does this information indicate that there is a difference (either way) in the mean number of cases of fox rabies between the two regions? Use a 5% level of significance. (Assume the distribution of rables cases in both regions is mound-shaped and approximately normal.) () What is the level of significance? State the null and alternate hypotheses. O Moi MyM₂ M₂ MyM₂ OHg H₂H₂ M₂ M₂ M₂ o Mỹ, thị Ngô Hồ Đông và không OHg H₂H₂H₂ M₂ * H₂ (i) What sampling distribution will you use? What assumptions are you making? O The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations. O The Student's r. We assume that both population distributions are approximately normal with known standard deviations. O The standard normal. We assume that both population distributions are approximately normal with known standard deviations. O The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations. What is the value of the sample test statistic? Compute the corresponding z or t value as appropriate. (Test the difference M₁-M₂. Do not use rounded values. Round your final answer to three decimal places.) () Find (or estimate) the P-value OP-value> 0.500 O 0.250 < P-value < 0.500 O 0.100 < P-value < 0.250 O 0.050 < P-value < 0.100 O 0.010< P-value < 0.050 OP-value < 0.010
Transcribed Image Text:X₁² Region I Data 299 978 81 3 3 3 2 5 14 6 A second random sample of n, 15 locations in region II gave the following information about the number of cases of fox rabies near that location. X₂ Region II Data 11314 854 4422569 LAUSE SALT Use a calculator with sample mean and sample standard deviation keys to calculatex, and s, in region I, and x₂ and s₂ in region II. (Round your answers to four decimal places.) (a) Does this information indicate that there is a difference (either way) in the mean number of cases of fox rabies between the two regions? Use a 5% level of significance. (Assume the distribution of rables cases in both regions is mound-shaped and approximately normal.) () What is the level of significance? State the null and alternate hypotheses. O Moi MyM₂ M₂ MyM₂ OHg H₂H₂ M₂ M₂ M₂ o Mỹ, thị Ngô Hồ Đông và không OHg H₂H₂H₂ M₂ * H₂ (i) What sampling distribution will you use? What assumptions are you making? O The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations. O The Student's r. We assume that both population distributions are approximately normal with known standard deviations. O The standard normal. We assume that both population distributions are approximately normal with known standard deviations. O The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations. What is the value of the sample test statistic? Compute the corresponding z or t value as appropriate. (Test the difference M₁-M₂. Do not use rounded values. Round your final answer to three decimal places.) () Find (or estimate) the P-value OP-value> 0.500 O 0.250 < P-value < 0.500 O 0.100 < P-value < 0.250 O 0.050 < P-value < 0.100 O 0.010< P-value < 0.050 OP-value < 0.010
Sketch the sampling distribution and show the area corresponding to the P-value. A A ^ (iv) Based on your answers in parts (1)-(i), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? O At the a= 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. O At the a= 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. O At the a= 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. O At the a= 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. (v) Interpret your conclusion in the context of the application O Fail to reject the null hypothesis, there is insufficient evidence that there is a difference in the mean number of cases of fox rabies between the two regions. O Reject the null hypothesis, there is sufficient evidence that there is a difference in the mean number of cases of fox rabies between the two regions. O Fail to reject the null hypothesis, there is sufficient evidence that there is a difference in the mean number of cases of fox rabies between the two regions. O Reject the null hypothesis, there is insufficient evidence that there is a difference in the mean number of cases of fox rabies between the two regions. (b) Find a 95% confidence interval for M₁-M₂- (Round your answers to two decimal places.) upper limit Explain the meaning of the confidence interval in the context of the problem. O Because the interval contains only positive numbers, this indicates that at the 95% confidence level, the number of cases of fox rables is higher in region I O Because the interval contains both positive and negative numbers, this indicates that at the 95% confidence level, we cannot say that the number of cases of fox rables differs between the two regions. O Because the interval contains both positive and negative numbers, this indicates that at the 95% confidence level, the number of cases of fox rabies is higher in region 1. O Because the interval contains only negative numbers, this indicates that at the 95% confidence level, the number of cases of fox rabies is higher in region II.
Transcribed Image Text:Sketch the sampling distribution and show the area corresponding to the P-value. A A ^ (iv) Based on your answers in parts (1)-(i), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? O At the a= 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. O At the a= 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. O At the a= 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. O At the a= 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. (v) Interpret your conclusion in the context of the application O Fail to reject the null hypothesis, there is insufficient evidence that there is a difference in the mean number of cases of fox rabies between the two regions. O Reject the null hypothesis, there is sufficient evidence that there is a difference in the mean number of cases of fox rabies between the two regions. O Fail to reject the null hypothesis, there is sufficient evidence that there is a difference in the mean number of cases of fox rabies between the two regions. O Reject the null hypothesis, there is insufficient evidence that there is a difference in the mean number of cases of fox rabies between the two regions. (b) Find a 95% confidence interval for M₁-M₂- (Round your answers to two decimal places.) upper limit Explain the meaning of the confidence interval in the context of the problem. O Because the interval contains only positive numbers, this indicates that at the 95% confidence level, the number of cases of fox rables is higher in region I O Because the interval contains both positive and negative numbers, this indicates that at the 95% confidence level, we cannot say that the number of cases of fox rables differs between the two regions. O Because the interval contains both positive and negative numbers, this indicates that at the 95% confidence level, the number of cases of fox rabies is higher in region 1. O Because the interval contains only negative numbers, this indicates that at the 95% confidence level, the number of cases of fox rabies is higher in region II.
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