Question

In: Statistics and Probability

A medical researcher wants to determine if the average hospital stay after a certain procedure is...

A medical researcher wants to determine if the average hospital stay after a certain procedure is less than 11.87 days. The hypotheses for this scenario are as follows: Null Hypothesis: μ ≥ 11.87, Alternative Hypothesis: μ < 11.87. If the researcher randomly samples 25 patients that underwent the procedure and determines their average hospital stay was 10.6 days with a standard deviation of 6.724 days, what is the test statistic and p-value of this test?

Question 10 options:

1)

Test Statistic: 0.944, P-Value: 0.1772

2)

Test Statistic: -0.944, P-Value: 0.1772

3)

Test Statistic: 0.944, P-Value: 0.8228

4)

Test Statistic: -0.944, P-Value: 0.3544

5)

Test Statistic: -0.944, P-Value: 0.8228

Solutions

Expert Solution

2)

Test Statistic: -0.944, P-Value: 0.1772

Related Solutions

The average length of stay in a chronic disease hospital for a certain type of patient...
The average length of stay in a chronic disease hospital for a certain type of patient is 60 days with a standard deviation of 15 days. If 36 of these patients are randomly selected, find the probability that the average length of stay of these 36 patients is less than 58 days. (a) .1519 (b) .3176 (c) .4483 (d) .2119 (e) .6124
1. A hospital determined that the average duration of a stay at the hospital is 7.1...
1. A hospital determined that the average duration of a stay at the hospital is 7.1 days. Suppose that the population standard deviation for the duration of stays at this hospital is 1.9 days. Researchers randomly select 26 former patients to include in further research on hospital stays. a) Use the central limit theorem to find the approximate probability that total amount of time these 26 patients spent at the hospital exceeds 156 days? b) What assumptions must you make...
A hospital has determined that the average duration of a stay at the hospital is 9.3...
A hospital has determined that the average duration of a stay at the hospital is 9.3 days. Suppose that the population standard deviation for the duration of stays at this hospital is 2.3 days. Researchers randomly select 36 former patients to include in further research on hospital stays. Use the central limit theorem to find the approximate probability that total amount of time these 36 patients spent at the hospital exceeds 180 days?
2. A researcher wants to study the average lifetime of a certain brand of batteries (in...
2. A researcher wants to study the average lifetime of a certain brand of batteries (in hours). In testing the hypotheses, H0: μ = 950 hours vs. H1: μ ≠ 950 hours, a random sample of 25 batteries is drawn from a normal population whose standard deviation is 200 hours. Calculate β, the probability of a Type II error when μ = 1000 and α = 0.10.
A researcher wants to determine whether there is a difference in the average age of elementary...
A researcher wants to determine whether there is a difference in the average age of elementary school, high school, and community college teachers. Teachers are randomly selected. Their ages are recorded below. Can you reject the claim that there is no difference in the average age of each group? Use 5% level of significance. Elementary Teachers High School Teachers CC Teachers 24 37 45 28 42 36 25 39 39 52 48 61 36 43 35 22 32 45 a)...
A medical researcher wants to determine if an experimental drug to control the Covid 19 Virus...
A medical researcher wants to determine if an experimental drug to control the Covid 19 Virus has any effect on the motor skills scores of human subjects. She randomly assigns patients to 1 of 2 groups. Nine hundred subjects in group 1 (the experimental group) are given an oral dose of the drug prior to testing (mean = 9.78, standard deviation = 4.05); 1000 subjects in group 2 (control group) receive a placebo (mean = 15.10, standard deviation = 4.28)....
A medical researcher wants to determine if an experimental drug to control the COVID 19 Virus...
A medical researcher wants to determine if an experimental drug to control the COVID 19 Virus has any effect on the motor skills scores of human subjects. She randomly assigns patients to 1 of 2 groups. Nine hundred subjects in group 1 (the experimental group) are given an oral dose of the drug prior to testing (mean = 9.78, standard deviation = 4.05); 1000 subjects in group 2 (control group) receive a placebo (mean = 15.10, standard deviation = 4.28)....
A researcher wants to determine if there is a significant difference between the average fuel mileages...
A researcher wants to determine if there is a significant difference between the average fuel mileages for city and highway driving for the same model of cars. Use the EPA data below from a variety of 4-door sedans built in 2015 to determine if there is a difference between the city and highway fuel mileage for the same car models using α = 0.05. Round calculations to the nearest tenths. Car Models city highway Acura 18 27 Audi 20 29...
A researcher wants to determine if the average salaries for professors at all public and all...
A researcher wants to determine if the average salaries for professors at all public and all private universities are different. He randomly selects 30 professors from public universities and independently 30 professors from private universities. The data are in thousands of dollars. The statistics are given below. Test the claim that the average salaries for all professors at public and private universities are different. Use α = 0.05 and fully justify! Mean 65.5 76.8 -11.3 Standard Deviation 24.3 24.3 24.3...
A researcher wants to determine if the average salaries for professors at all public and all...
A researcher wants to determine if the average salaries for professors at all public and all private universities are different. He randomly selects 30 professors from public universities and independently 30 professors from private universities. The data are in thousands of dollars. The statistics are given below. Test the claim that the average salaries for all professors at public and private universities are different. Use α = 0.05 and fully justify! Mean 65.5 76.8 -11.3 Standard Deviation 24.3 24.3 24.3...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT