A random sample of 51 adult coyotes in a region of northern Minnesota showed the average age to be x = 1.99 years, with sample standard deviation s = 0.70 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 ? = 0.01. a) State the null and alternate hypotheses. choose correct one: H0: ? = 1.75 yr; H1: ? > 1.75 yr H0: ? < 1.75 yr; H1: ? = 1.75 yr H0: ? = 1.75 yr; H1: ? ≠ 1.75 yr H0: ? > 1.75 yr; H1: ? = 1.75 yr H0: ? = 1.75 yr; H1: ? < 1.75 yr b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. choose correct one: The standard normal, since the sample size is large and ? is known. The Student's t, since the sample size is large and ? is known. The Student's t, since the sample size is large and ? is unknown. The standard normal, since the sample size is large and ? is unknown. c) What is the value of the sample test statistic? (Round your answer to three decimal places.)
A random sample of 51 adult coyotes in a region of northern Minnesota showed the average age to be x = 1.99 years, with sample standard deviation s = 0.70 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 ? = 0.01.
a) State the null and alternate hypotheses. choose correct one:
H0: ? = 1.75 yr; H1: ? > 1.75 yr
H0: ? < 1.75 yr; H1: ? = 1.75 yr
H0: ? = 1.75 yr; H1: ? ≠ 1.75 yr
H0: ? > 1.75 yr; H1: ? = 1.75 yr
H0: ? = 1.75 yr; H1: ? < 1.75 yr
b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. choose correct one:
The standard normal, since the
The Student's t, since the sample size is large and ? is known.
The Student's t, since the sample size is large and ? is unknown.
The standard normal, since the sample size is large and ? is unknown.
c) What is the value of the sample test statistic? (Round your answer to three decimal places.)
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