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
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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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 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.
LAUSE 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; H₁:
Ho: H
O Ho: H
O
Ho:
1.75 yr; H₁:
1.75 yr; H₁:
-1.75 yr
= 1.75 yr
1.75 yr
< 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 a 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 is unknown.
X
(c) Estimate the P-value.
ⒸP-value> 0.250
O 0.100 < P-value < 0.250
O 0.050 < P-value < 0.100
What is the value of the sample test statistic? (Round your answer to three decimal places.)
2.500
7x
O 0.010 < P-value < 0.050
O P-value < 0.010
x
x
Transcribed Image Text: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 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. LAUSE 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; H₁: Ho: H O Ho: H O Ho: 1.75 yr; H₁: 1.75 yr; H₁: -1.75 yr = 1.75 yr 1.75 yr < 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 a 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 is unknown. X (c) Estimate the P-value. ⒸP-value> 0.250 O 0.100 < P-value < 0.250 O 0.050 < P-value < 0.100 What is the value of the sample test statistic? (Round your answer to three decimal places.) 2.500 7x O 0.010 < P-value < 0.050 O P-value < 0.010 x x
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