JL A random sample of 46 adult coyotes in a region of northern Minnesota showed the average age to be -2.07 years, with sample standard deviations-088 years. However, it is thought that the overal population mean age of coyotes is 1.75. Do the sample data indicate that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years? Use -0.01. LAUSE SALT (a) What is the level of significance? - State the null and altermate hypotheses OM 1.75 yr ₁1.75 OM 1.75 yr; ₁-1.75 yr 1.75 yr; M: 1.75 yr 1.75 yr, M₁1.75 yr Og #1.75 yr, M₁:1.75 yr OM OM (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution O The standard nermal, since the sample size is large and is known O The standard narmal, since the sample size is large and is unknown. O The Student's f, since the sample size is large and a is known O The Student's t, since the sample size is large and d is unknown What is the value of the sample test statistic? (Round your answer to three decimal places) (c) Estimate the P-value OP-value 0.250 O 0.100P-value < 0.250 O 0.050 value 0.100 O 0.010 P-value < 0.050 O value 0.010 Sketch the sampling distribution and show the area corresponding to the value a O A (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? At the 0.01 level, we reject the null hypothesis and conclude the data are statistically significant O At the 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant O At the O At the 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant (e) Interpret your conclusion in the context of the application O There is sufficient evidence at the 0.01 level to condude that cayotes in the specified region tend to live longer than 1.75 year O There is insuffident evidence at the 0.01 level to conclude that cayotes in the specified region tend to live langer than 1.75 year

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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A random sample of 46 adult coyotes in a region of northern Minnesota showed the average age to be- 2.07 years, with sample standard deviations-0.88 years. However, it is thought that the overall population mean age of coyotes is -1.75. Do the sample data indicate that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years? Use a-0.01.
LA USE SALT
(0) What is the level of significance?
State the null and altermate hypotheses.
OM
1.75 yr; M₁:
1.75 yr
OM
OM
O Hg
O Mg:
1.75 yr, M₁:
1.75 yr; M₁
-1.75 yr
> 1.75 yr
1.75 yr, H₁1.75 yr
1.75 yr; H₁ -1.75 yr
(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.
O The standard normal, since the sample size is large and e is known
O The standard narmal, since the sample size is large and @ is unknown.
O The Student's f, since the sample size is large and a is known
O The Student's t, since the sample size is large and e is unknown
What is the value of the sample test statistic? (Round your answer to three decimal places)
-
(c) Estimate the value.
OP-value> 0.250
O 0.100P-value 0.250
O 0.050 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
04
O At the
O At the
O At the
O
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a?
O At the
0.01 level, we reject the null hypothesis and conclude the data are statistically significant
A
-1
0.01 level, we reject the null hypothesis and conclude the data are not statistically significant.
0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant
0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
(e) Interpret your conclusion in the context of the application
O There is sufficient evidence at the 0.01 level to condude that coyotes in the specified region tend to live longer than 1.75 years.
O There is insufficient evidence at the 0.01 level to conclude that coyotes in the specified region tend to live longer than 1.75 years
Transcribed Image Text:A random sample of 46 adult coyotes in a region of northern Minnesota showed the average age to be- 2.07 years, with sample standard deviations-0.88 years. However, it is thought that the overall population mean age of coyotes is -1.75. Do the sample data indicate that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years? Use a-0.01. LA USE SALT (0) What is the level of significance? State the null and altermate hypotheses. OM 1.75 yr; M₁: 1.75 yr OM OM O Hg O Mg: 1.75 yr, M₁: 1.75 yr; M₁ -1.75 yr > 1.75 yr 1.75 yr, H₁1.75 yr 1.75 yr; H₁ -1.75 yr (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since the sample size is large and e is known O The standard narmal, since the sample size is large and @ is unknown. O The Student's f, since the sample size is large and a is known O The Student's t, since the sample size is large and e is unknown What is the value of the sample test statistic? (Round your answer to three decimal places) - (c) Estimate the value. OP-value> 0.250 O 0.100P-value 0.250 O 0.050 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 04 O At the O At the O At the O (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? O At the 0.01 level, we reject the null hypothesis and conclude the data are statistically significant A -1 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. (e) Interpret your conclusion in the context of the application O There is sufficient evidence at the 0.01 level to condude that coyotes in the specified region tend to live longer than 1.75 years. O There is insufficient evidence at the 0.01 level to conclude that coyotes in the specified region tend to live longer than 1.75 years
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