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Recently, research physicians at Mountain States have developed a surgery process they believe will reduce the average patient recovery time. The hospital board will not recommend the new procedure unless there is substantial evidence to suggest that it is better than the existing procedure. Records indicate that the current mean recovery rate for the standard procedure is 142 days, with a standard deviation of 15 days. To test whether the new procedure actually results in a lower mean recovery time, the procedure was performed on a random sample of 36 patients and found a sample mean of 140.2 days. Conduct a hypothesis test with the probability of making a Type I error is 5%.
1. State the null and alternate hypotheses
2. State the level of significance (alpha)
3. Compute the value of the test statistic
4. Determine the critical value and the decision rule
5. State your conclusion
6. Find the p value
In a shipment of 59 vials, only 18 does not have hairline cracks. 6 vials are randomly selected from the shipment. Find the probability that at least one of the 6 selected vials has a hairline crack.
An experimenter is randomly sampling 5 objects in order from among 49 objects. What is the total number of samples in the sample space?
Determine the probability of a positive economic trend given an increasing employment. Are employment and economic trend independent?
A manufacturer claims that the mean lifetime, , of its light bulbs is 49 months. The standard deviation of these lifetimes is 9 months. Seventy bulbs are selected at random, and their mean lifetime is found to be 46 months.
In a large section of statistics class, the points for the final exams are normally distributed with a mean of 72 and a standard deviation of 9. Find the lowest score on the final exam that would qualify a student for an (A, B, C, D)
Illustrate for what value does probability XYZ will offer a competing product will ABC be indifferent among the alternatives.
The tail probabilities given above be affected if the > signs in the inequalities were replaced by ? Explain briefly. Why are the absolute value signs used in the two-tail probability expressions above?
I used to manage a manufacturing plant making electrical switches. We molded 15 million polypropylene parts that went into the switches and one of the machines made a part that had a critical dimension ( a diameter on the shaft ) that we ran these te..
Assume the life of these light bulbs follows a normal distribution. Find the probability that a random sample of 100 light bulbs will have an average life between 1760 and 1775 hours.
Construct a 95% confidence interval estimate for the proportion of Americans who decided what to make for dinner either at the last minute or that day.
a researcher wants to know if there was a difference between urban and rural jurisdictions in the hiring of female
The scatter diagram for data set below is shown. a) given that x= 3.667, sx = 2.5819889, sy= 1.5937377 and r= -0.8894261, find out least -regression line.
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