Pregunta
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A random sample of recent hospital stays for 32 men and 30 women revealed the following. At 0.01 level, is there sufficient evidence to conclude that the average hospital
stay for men is longer than the average hospital stay for women?
What is the Critical Value (If there are two, separate them with a comma)
A random sample of recent hospital stays for 32 men and 30 women revealed the following. At 0.01 level, is there sufficient evidence to conclude that the average hospital
stay for men is longer than the average hospital stay for women?
What is the Critical Value (If there are two, separate them with a comma)
Ask by Williams Ellis. in the United States
Dec 05,2024
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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The critical value for the test is approximately 2.390 (using t-distribution).
Solución

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Como
Beyond the Answer
To determine the critical value for this hypothesis test, we first need to identify the type of test being utilized. Given that we’re comparing the means of two independent samples (men and women), it would typically be a t-test for independent samples, especially since sample sizes are relatively small.
Since we’re testing at a significance level of 0.01 and given that this is a one-tailed test (we’re only looking to see if men’s stays are longer), you would use the t-distribution with
degrees of freedom, where
(men) and
(women).
Degrees of freedom
.
Using the t-table or calculator for a one-tailed test at a significance level of 0.01 with 60 degrees of freedom, the critical value
is approximately 2.660.
Thus, the critical value for this hypothesis test is approximately 2.660.

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