Remission time-depressed individuals

Assignment Help Basic Statistics
Reference no: EM13110321

1. Medical researchers interested in determining the relative effectiveness of two different drug treatments on people with a chronic mental illness established two independent test groups. The first group consisted of 9 people with the illness, and the second group consisted of 12 people with the illness. The first group received treatment 1 and had a mean time until remission of 165 days, with a standard deviation of 8 days. The second group received treatment 2 and had a mean time until remission of days, with a standard deviation of 5 days. Assume that the populations of times until remission for each of the two treatments are normally distributed with equal variance. Can we conclude, at the 0.05 level of significance, that the mean number of days before remission after treatment 1 (mean 1), is less than the mean number of days before remission after treatment 2 (mean 2)?

Perform a one-tailed test...Carry your intermediate computations to at least three decimal places and round your answers.

The null hypothesis

The alternate hypothesis

The type of test statistic

The value of the test statistic(round three decimal places)

The critical value at the 0.05 level of significance.

Can we conclude that the mean number of days before remission after treatment 1 in less than the mean number of days before remission after treatment 2? (yes or no)

2. Two popular drugs used for the treatment of depression are Resithan and Exemor. A random sample of 501 depressed individuals is selected and treated with Resithan, and 215 find relief from their depression. A random sample of 594 depressed individuals is independently selected from the first sample and treated with Exemor, and 261 find relief from their depression. Can we conclude, at the 0.05 level of significance, that the proportion (P1)of depressed individuals taking Resithan who find relief from depression is less than the proportion (P2) of all depressed individuals taking Exemor who find relief from depression?

Perform a one-tailed test...Carry your intermediate computations to at least three decimal places and round your answers.

The null hypothesis

The alternate hypothesis

The type of test statistic

The value of the test statistic(round three decimal places)

The critical value at the 0.05 level of significance.

Can we conclude that the proportion of depressed individuals taking Resithan who find relief is less than the proportion taking Exemor who find relief? (yes or no)

Reference no: EM13110321

Questions Cloud

Describe why ordinary least squares solution is not unique : Describe why ordinary least squares solution is not unique. What can you say about residuals of any solution? Is ridge regression solution unique? Explain why or why not?
What is the maximum quantity of quarks : What is the maximum quantity of quarks it can produce and what is the opportunity cost of producing the first 600 quarks?
Predict whether you would expect the cell size : whereas cells that express a constitutively activated version of PKA are 15% larger than normal liver cells. Given these results, predict whether you would expect the cell's size to be bigger or smaller than normal cells if cells were treated in t..
Alternative hypothesis for casualty insuarance company : The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.8 auto accidents per day with a variance of 0.0016.
Remission time-depressed individuals : Medical researchers interested in determining the relative effectiveness of two different drug treatments on people with a chronic mental illness established two independent test groups.
Importance of strategic plan for success of defined business : Develop an argument supporting the importance of a strategic plan for the success of the defined business.
How many days will it take to become a palpable mass : Apply the principle of exponential growth to the cells in a multicellular organism where a cancer arises in a lymph node. Assume the tumor cells double every 18 hours and none die. How many days will it take to become a palpable mass (approximatel..
Why antibioticresistant bacteria donot demonstrate evolution : Explain why examples such as the peppered moth, pesticide-resistant insects, and antibiotic-resistant bacteria do not demonstrate evolution.
Hypothesis testing mean lifetime of light bulbs : A manufacturer claims that the mean lifetime of its light bulbs is 55 months. The standard deviation of these lifetimes is 6 months. Twenty-two bulbs are selected at random, and their mean lifetime is found to be 56 months.

Reviews

Write a Review

Basic Statistics Questions & Answers

  Normal distribution with given mean and standard deviation

Given length an athlete throws a hammer is a normal random variable with mean 50 feet and standard deviation five feet, what is the probability he throws it: Between 50 feet and 60 feet.

  Introduction to test for independent means

Explain these results to a person who understands the t test for a single sample but knows nothing about the t test for independent means.

  Optimize a schedule of events and reduce lost productivity

Apply Scheduling Theory in order to optimize a schedule of events and reduce lost productivity

  Overall reliability of the system

A product is made up of two subsystems in parallel. Subsystem one consists of ten elements in series each with a failure rate of 1/100. The second subsystem consists of 5 elements in series each with a failure rate of 1/200. What is the overall re..

  Confidence interval for the population mean

Take a confidence interval for the difference in the average of renting between the first andthird hotel.

  Test for differences in three treatments

For the preceding problem you should find that there are significant differences among the three treatments. One reason for the significance is that the sample variances are small.

  Explanation of odds ratio in study of smoking

Those who have quit smoking often return to the habit. The authors of a paper concluded that forbidding smoking in the smoker's residence was a significant predictor of the ability to abstain from smoking.

  Null hypothesis and alternative hypothesis of plant

The mean height of a certain plant is 160 centimeters. Suppose a botanist wants to carry out a hypothesis test to see if the mean height when these plants are treated with a certain chemical differs from 160. What is the null hypothesis and the al..

  Measure of central tendency for statistical data

Does all statistical data have a mean, median, or mode? Why? When is the mean the best measure of central tendency? When is the median the best measure of central tendency?

  Sufficient evidence that the percentage of defects

In a random sample of 80 items, the defect rate is 5% but the manager claims that this is only a sample fluctuation and production is not really out of control. At the 0.01 level of significance, does the data provide sufficient evidence that the ..

  Problem related to average running time of movies

Nancy believes that the average running time of movies is equal to 140 minutes. A sample of 4 movies was taken and the following running times were obtained. Assume the population of the running times is normally distributed.

  Statistical analysis of baseball

Suppose a well-known baseball player states that, at this stage of his career, he is a "300 hitter" or better. That is, he claims that he gets a hit in at least 30% of his at-bats. Over the next month of the baseball season, this player has 105 at..

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd