marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of 6 mature female pink seaperch collected as a mean length of 112 millimeters and a standard deviation of 15 millimeters. A sample of 8 mature female pink seaperch collected in winter has a mean length 99 millimeters and a standard deviation of 14 millimeters. At a=0.20, can you support the marine biologisť's claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below. 01>1> - 20 O D. t>to (c) Find the standardized test statistic. t=(Type an integer or decimal rounded to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. V the null hypothesis. (e) Interpret the decision in the context of the original claim. At the 20% significance level, V enough evidence to support the claim that the mean lengths of mature female pink seaperch are different in fall and

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A marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of 6 mature female pink seaperch collected in fa
has a mean length of 112 millimeters and a standard deviation of 15 millimeters. A sample of 8 mature female pink seaperch collected in winter has a mean length of
99 millimeters and a standard deviation of 14 millimeters. At a= 0.20, can you support the marine biologist's claim? Assume the population variances are equal.
Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below.
O D. t>to
(c) Find the standardized test statistic.
(Type an integer or decimal rounded to three decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
▼ the null hypothesis.
(e) Interpret the decision in the context of the original claim.
At the 20% significance level,
enough evidence to support the claim that the mean lengths of mature female pink seaperch are different in fall and
winter.
Transcribed Image Text:A marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of 6 mature female pink seaperch collected in fa has a mean length of 112 millimeters and a standard deviation of 15 millimeters. A sample of 8 mature female pink seaperch collected in winter has a mean length of 99 millimeters and a standard deviation of 14 millimeters. At a= 0.20, can you support the marine biologist's claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below. O D. t>to (c) Find the standardized test statistic. (Type an integer or decimal rounded to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. ▼ the null hypothesis. (e) Interpret the decision in the context of the original claim. At the 20% significance level, enough evidence to support the claim that the mean lengths of mature female pink seaperch are different in fall and winter.
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