Researchers from a certain country were interested in how characteristics of the spleen of residents in their tropical environment compare to those found elsewhere in the world. The researchers randomly sampled 93 males and 107 females in their country. The mean and standard deviation of the spleen lengths for the males were 10.8 cm and 0.9 cm, respectively, and those for the females were 10.2 cm and 0.7 cm, respectively. At the 5% significance level, do the data provide sufficient evidence to conclude that a difference exists in the mean spleen lengths of males and females in the country? Click here to view page 1 of the table of critical values of t. Click here to view page 2 of the table of critical values of t. O E. Ho: H₁

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Researchers from a certain country were interested in how characteristics of the spleen of residents in their tropical
environment compare to those found elsewhere in the world. The researchers randomly sampled 93 males and 107
females in their country. The mean and standard deviation of the spleen lengths for the males were 10.8 cm and 0.9
cm, respectively, and those for the females were 10.2 cm and 0.7 cm, respectively. At the 5% significance level, do
the data provide sufficient evidence to conclude that a difference exists in the mean spleen lengths of males and
females in the country?
Click here to view page 1 of the table of critical values of t.
Click here to view page 2 of the table of critical values of t.
O E. Ho: H1 H₂
Hai Hg = H2
Compute the test statistic.
=(Round to two decimal places as needed.)
Determine the critical value(s).
t=
OF. Ho: H1 H₂
Ha: H1 H₂
0
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
What is the conclusion of the hypothesis test?
Since the test statistic
in the rejection region,
Ho. Conclude that the data
sufficient evidence that a difference exists in the mean spleen lengths of males and females in the country.
Transcribed Image Text:Researchers from a certain country were interested in how characteristics of the spleen of residents in their tropical environment compare to those found elsewhere in the world. The researchers randomly sampled 93 males and 107 females in their country. The mean and standard deviation of the spleen lengths for the males were 10.8 cm and 0.9 cm, respectively, and those for the females were 10.2 cm and 0.7 cm, respectively. At the 5% significance level, do the data provide sufficient evidence to conclude that a difference exists in the mean spleen lengths of males and females in the country? Click here to view page 1 of the table of critical values of t. Click here to view page 2 of the table of critical values of t. O E. Ho: H1 H₂ Hai Hg = H2 Compute the test statistic. =(Round to two decimal places as needed.) Determine the critical value(s). t= OF. Ho: H1 H₂ Ha: H1 H₂ 0 (Round to three decimal places as needed. Use a comma to separate answers as needed.) What is the conclusion of the hypothesis test? Since the test statistic in the rejection region, Ho. Conclude that the data sufficient evidence that a difference exists in the mean spleen lengths of males and females in the country.
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