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kaysavage7674
25.02.2020 •
Mathematics
Refer to the Current Allergy & Clinical Immunology (March 2004) study of latex allergy in health care workers. There is a claim that the mean number of latex gloves used per day by all hospital employees is less than 20 gloves. A sample of 46 were selected with a mean number of latex gloves used per day by all hospital employees of 19.3 and standard deviation of 11.9. Assume alpha is 0.01. (b) What is the test statistic?
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Ответ:
Step-by-step explanation:
Hello!
The researcher wants to test if the average number of latex gloves used per day by all hospital employees is less than 20, symbolically: μ < 20
A sample of 46 workers was selected and a sample means of X[bar]= 19.3 and a sample standard deviation of S= 11.9.
The study variable is X: number of latex gloves used per day by a hospital employee.
There is no information about the variable distribution, but since the sample is large enough (n≥30) we can apply the Central Limit Theorem and approximate the distribution of the sample mean to normal X[bar]≈N(μ;δ²/n)
The hypotheses are:
H₀: μ ≥ 20
H₁: μ < 20
α: 0.01
The statistic to use is the standard normal approximation:
With critical level
, considering the test is one-tailed left, the calculated Z value is greater than the critical value so the decision is to not reject the null hypothesis.
I hope it helps!
Ответ:
= 1000
I know
I think hope this helps