A random sample of 46 adult coyotes in a region of northern Minnesota showed the average age to be x 2.07 years, with sample standard deviations 0.88 years. However, it is thought that the overall population mean age of coyom northern Minnesota tend to live longer than the average of 1.75 years? Use a = 0.01. LUSE SALT (a) What is the level of significance? 0.01 State the null and alternate hypotheses. O Ho: H 1.75 yr; H₁: O Ho: H 1.75 yr; H₁: -1.75 yr 1.75 yr 1.75 yr Ho: H 1.75 yr; H₁: O Ho: O Ho: 1.75 yr; H₁: 1.75 yr; H₁: < 1.75 yr > 1.75 yr (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The Student's t, since the sample size is large and a is known. O The Student's t, since the sample size is large and is unknown. O The standard normal, since the sample size is large and a is known. O The standard normal, since the sample size is large and o is unknown. X What is the value of the sample test statistic? (Round your answer to three decimal places.) 2.500 x (c) Estimate the P-value. ⒸP-value> 0.250 O 0.100 < P-value < 0.250 O 0.050 < P-value < 0.100 O 0.010< P-value < 0.050 O P-value < 0.010 x
A random sample of 46 adult coyotes in a region of northern Minnesota showed the average age to be x 2.07 years, with sample standard deviations 0.88 years. However, it is thought that the overall population mean age of coyom northern Minnesota tend to live longer than the average of 1.75 years? Use a = 0.01. LUSE SALT (a) What is the level of significance? 0.01 State the null and alternate hypotheses. O Ho: H 1.75 yr; H₁: O Ho: H 1.75 yr; H₁: -1.75 yr 1.75 yr 1.75 yr Ho: H 1.75 yr; H₁: O Ho: O Ho: 1.75 yr; H₁: 1.75 yr; H₁: < 1.75 yr > 1.75 yr (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The Student's t, since the sample size is large and a is known. O The Student's t, since the sample size is large and is unknown. O The standard normal, since the sample size is large and a is known. O The standard normal, since the sample size is large and o is unknown. X What is the value of the sample test statistic? (Round your answer to three decimal places.) 2.500 x (c) Estimate the P-value. ⒸP-value> 0.250 O 0.100 < P-value < 0.250 O 0.050 < P-value < 0.100 O 0.010< P-value < 0.050 O P-value < 0.010 x
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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