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) Estimate the P-value. choose correct one: P-value > 0.250 0.100 < P-value < 0.250 0.050 < P-value < 0.100 0.010 < P-value < 0.050 P-value < 0.010 b) Sketch the sampling distribution and show the area corresponding to the P-value. c) 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 ?? At the ? = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant. At the ? = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. At the ? = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant. At the ? = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
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) Estimate the P-value. choose correct one:
P-value > 0.250
0.100 < P-value < 0.250
0.050 < P-value < 0.100
0.010 < P-value < 0.050
P-value < 0.010
b) Sketch the sampling distribution and show the area corresponding to the P-value.
c) 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 ??
At the ? = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant.
At the ? = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant.
At the ? = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
At the ? = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
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