a. Two-tailed test, α=0.01 b. 99% confidence interval What are the hypotheses for the t-test? A. H0: μ1=μ2 Ha: μ1<μ2 B. H0: μ1=μ2 Ha: μ1≠μ2 C. H0: μ1≥μ2 Ha: μ1<μ2 D. H0: μ1=μ2 Ha: μ1>μ2 Find the test statistic: t = -0.821 Find the critical values. ±tα/2=±n____________ (Round to three decimal places as needed.)
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A: To construct: 95% confidence interval
Provided below are summary statistics for independent simple random samples from two populations. Use the nonpooled t-test and the nonpooled t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval.
x1=8,
s1=5,
n1=15,
x2=10,
s2=8,
n2=15
a. Two-tailed test, α=0.01
b. 99% confidence interval
What are the hypotheses for the t-test?
A. H0: μ1=μ2
Ha: μ1<μ2
B. H0: μ1=μ2
Ha: μ1≠μ2
C. H0: μ1≥μ2
Ha: μ1<μ2
D. H0: μ1=μ2
Ha: μ1>μ2
Find the test statistic: t = -0.821
Find the critical values.
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- Data on the numbers of hospital admissions resulting from motor vehicle crashes are given below for Fridays on the 6th of a month and Fridays on the following 13th of the same month. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Construct a 95% confidence interval estimate of the mean of the population of differences between hospital admissions. Use the confidence interval to test the claim that when the 13th day of a month falls on a Friday, the numbers of hospital admissions from motor vehicle crashes are not affected. Friday the 6th 6 12 7 9 6 Friday the 13th 11 14 13 10 11 In this example, μd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the number of hospital admissions on Friday the 6th minus the number of hospital admissions on Friday the 13th. Find the 95%…Data on the numbers of hospital admissions resulting from motor vehicle crashes are given below for Fridays on the 6th of a month and Fridays on the following 13th of the same month. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Construct a 95% confidence interval estimate of the mean of the population of differences between hospital admissions. Use the confidence interval to test the claim that when the 13th day of a month falls on a Friday, the numbers of hospital admissions from motor vehicle crashes are not affected. Friday the 6th 12 12 5 3 7 Friday the 13th 15 11 12 13 13Data on the numbers of hospital admissions resulting from motor vehicle crashes are given below for Fridays on the 6th of a month and Fridays on the following 13th of the same month. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Construct a 95% confidence interval estimate of the mean of the population of differences between hospital admissions. Use the confidence interval to test the claim that when the 13th day of a month falls on a Friday, the numbers of hospital admissions from motor vehicle crashes are not affected. 3 4 11 Friday the 6th Friday the 13th 10 14 14 12 13 In this example, µ, is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the number of hospital admissions on Friday the 6th minus the number of hospital admissions on Friday the 13th. Find the 95% confidence interval. (Round to two decimal places as…
- Data on the numbers of hospital admissions resulting from motor vehicle crashes are given below for Fridays on the 6th of a month and Fridays on the following 13th of the same month. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Construct a 95% confidence interval estimate of the mean of the population of differences between hospital admissions. Use the confidence interval to test the claim that when the 13th day of a month falls on a Friday, the numbers of hospital admissions from motor vehicle crashes are not affected. Friday the 6th Friday the 13th 4 12 10 10 10 14 10 11 13 In this example, H. is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the number of hospital admissions on Friday the 6th minus the number of hospital admissions on Friday the 13th. Find the 95% confidence interval. (Round to two decimal places as…Data on the numbers of hospital admissions resulting from motor vehicle crashes are given below for Fridays on the 6th of a month and Fridays on the following 13th of the same month. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Construct a 95% confidence interval estimate of the mean of the population of differences between hospital admissions. Use the confidence interval to test the claim that when the 13th day of a month falls on a Friday, the numbers of hospital admissions from motor vehicle crashes are not affected. In this example, mu Subscript d is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the number of hospital admissions on Friday the 6th minus the number of hospital admissions on Friday the 13th. Find the 95% confidence interval. _____< mu Subscript d < ______ (Round to two decimal…Independent random samples were selected from two binomial populations, with sample sizes and the number of successes given below. Population 1 2 500 500 124 145 Sample Size Number of Successes USE SALT Construct a 95% confidence interval for the difference in the population proportions. (Use p₁ - P₂. Round your answers to four decimal places.) to Construct a 99% confidence interval for the difference in the population proportions. (Use p₁ - P₂. Round your answers to four decimal places.) to What does the phrase "95% confident" or "99% confident" mean? O In repeated sampling, 95% or 99% confident refers to the proportion of intervals constructed in this manner that will enclose the difference in the population proportions and P₁ P₂² 95% or 99% confident refers to the probability that the difference in the population proportions p₁ and p₂ will fall within the intervals found above. In repeated sampling, 95% or 99% confident refers to the proportion of intervals constructed in this…
- The random sample shown below was selected from a normal distribution. 8, 10, 7, 5, 3, 3 O Complete parts a and b. a. Construct a 99% confidence interval for the population mean u. | D (Round to two decimal places as needed.)Provided below are summary statistics for independent simple random samples from two populations. Use the pooled t-test and the pooled t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval. x₁ = 11, S₁ = 2.5, n₁ = 15, x₂ = 14, s₂ = 2.2, n₂ = 15 a. Two-tailed test, α = 0.10 b. 90% confidence interval Ha: H1 H2 Next, compute the test statistic. t= (Round to three decimal places as needed.) Now determine the critical values. ±ta/2= ± What is the conclusion of the hypothesis test? Since the test statistic b. The 90% confidence interval is from to (Round to three decimal places as needed.) (Round to three decimal places as needed.) in the rejection region, Ha: H1 = H₂ Ho. Time Remaining: 01:35:24 NextData on the numbers of hospital admissions resulting from motor vehicle crashes are given below for Fridays on the 6th of a month and Fridays on the following 13th of the same month. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Construct a 95% confidence interval estimate of the mean of the population of differences between hospital admissions. Use the confidence interval to test the claim that when the 13th day of a month falls on a Friday, the numbers of hospital admissions from motor vehicle crashes are not affected. Friday the 6th 4 2 3 7 Friday the 13th 10 15 13 15 15 In this example, Ha is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the number of hospital admissions on Friday the 6th minus the number of hospital admissions on Friday the 13th. Find the 95% confidence interval. - 12.28Please help asapData on the numbers of hospital admissions resulting from motor vehicle crashes are given below for Fridays on the 6th of a month and Fridays on the following 13th of the same month. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Construct a 95% confidence interval estimate of the mean of the population of differences between hospital admissions. Use the confidence interval to test the claim that when the 13th day of a month falls on a Friday, the numbers of hospital admissions from motor vehicle crashes are not affected. Friday the 6th 7 12 4 Friday the 13th 10 13 15 14 13 In this example, µa is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the number of hospital admissions on Friday the 6th minus the number of hospital admissions on Friday the 13th. Find the 95% confidence interval. |Data on the numbers of hospital admissions resulting from motor vehicle crashes are given below for Fridays on the 6th of a month and Fridays on the following 13th of the same month. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Construct a 95% confidence interval estimate of the mean of the population of differences between hospital admissions. Use the confidence interval to test the claim that when the 13th day of a month falls on a Friday, the numbers of hospital admissions from motor vehicle crashes are not affected. Friday the 6th 12 3 10 4 10 Friday the 13th 14 13 11 10 15SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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