The below scenario describes a real-world or business application that utilizes statistical analysis to help resolve a business problem: increasing efficiency by decreasing processing time. Prepare an analysis by completing five steps of the hypothesis testing with one sample. The report should be a minimum of 5 pages in length.

Last week, your manager asked you to analyze staffing needs for the Foreclosure Department. She was so impressed, and she wants you to create another report for her. Her intention is to decrease the processing time per document.

Based on last week’s report, the average number of processed documents per hour was 15.11, with a standard deviation of 2.666. That is, one document was reviewed in 238.25 seconds. To be objective as much as possible, the manager spoke with an employee whose average was exactly 15 documents per hour. The employee claimed that if she was given a larger monitor, the processing time would be shorter.

They conducted an experiment with a large monitor and measured processing time. After reviewing 20 documents, the calculated average processing time per document was 190.58 seconds. The manager believes that a bigger monitor helped reduce the processing time for reviewing foreclosure documents. Conduct a hypothesis test using a 95% confidence level, which means that significance level a = 0.05.

Use the 5-step process, and explain each term or concept mentioned in each section in the following.

Step 1: Set Up Null and Alternative Hypotheses

Based on the request description, explain if a one-tailed or two-tailed test is needed. If a one-tailed test is needed, is it a left or right-tailed test? Please explain why one alternative is better than the other.

State both of the following hypotheses:

• Null hypothesis

• Alternative hypothesis

You will need the following information to progress to Step 2:

• Standard deviation: Explain what standard deviation is. Locate the calculated standard deviation in the assignment description and enter here.

• Random variable: Explain what a random variable is. Locate it in the assignment description and enter here.

• Test type: Compare and contrast t-test and z-test. Once done, determine which one is appropriate for the experiment given the fact that the sample size is less than 30.

Step 2: Decide the Level of Significance

Explain what the significance level is and determine whether the one used in the assignment description is high, medium, or low. What does this significance level tell you about this test? Locate the level of significance in the given scenario, and list it in this step.

Significance level =?

Determine the degree of freedom based on the number of reviewed documents in the new experiment (n = 20) and based on the formula Degree of freedom = n – 1.

Degree of freedom = ?

Critical value = (You will need to use the t-table and find the intersection point between the degree of freedom and the alpha value that is provided in the assignment description.)

Step 3: Calculate the Test Statistics

Calculate the test statistics based on the test type determined in Step 1.

If the determination was done correctly, you should use this formula to calculate the test statistics.

Test statistics =?

Step 4: Compare the Calculated Test Statistics and the Critical Value

Sample Solution

During the Russo-Turkish war of 1877 Muslims showed a good gesture; during the observation of the prayers in the mosques of Calcutta funds were accumulated for the injured soldiers of Turkish troops. All succeeding events and movements in Turkey got the same positive response in India. During the War of Balkan Indian Muslims sent a medical commission under the supervision of Dr. M.A. Ansari to their Turkish brethren. (Burk, 1973). In 1905 a controversy were rose over the attitude of the Muslims could adopt in case hostility broke out between England and Turkey. One school of thought held that the Muslims owed their allegiance and loyalty to the Sultan of Turkey, because he was the caliph of Islam, while the other group instead that Muslims should not annoy and alienate the British by supporting their adversary. Besides they thought that the Muslims, like all other Indians, owed their allegiance to the British Rulers. That was the period when the process of the decline and erosion of the Turkish Empire was being hastened by the design of imperialist power. At that time France had already seized the Ottoman provinces of Algeria and Tunisia and was moving to take over Morocco. The British were firmly entrenched in Egypt. Now the Italian sought European support for their claim on Tripoli and Cyrenaica. Having been double encouraged, they began their invasion in 1911. This led to war between Italy and Turkey and touched off the Balkan wars of1912-13, which in turn merged with World War 1 (Ali, 2001). The Muslims expressed their resentment through the press and warned the British government of the grave consequences of helping the Balkan states. In November 1912, when the Prince of Wales visited India at that time the Muslims as a protest against the British policy towards the Turks, boycotted the f>

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