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due al 12 This is a graded discussion: 25 points possible Discussion: Hypothesis Testing Hypothesis originates from the Greek word hupo (under) and thesis (placing). It means an idea made from limited evidence. It is a starting point for further investigation. The notion is simple yet powerful. We perform hypothesis testing intuitively every day. It is a 7-step process: 1. Make Assumptions 2. Take an initial position. 3. Determine the alternate position. 4. Set acceptance criteria 5. Conduct fact-based tests. 6. Evaluate results. Does the evaluation support the initial position? Are we confident that the result is not due to chance? 7. Reach one of the following conclusion: Reject the original position in favor of alternate position or fail to reject the initial position. Towards Data Science (A Medium Company) Apply the above 7-step process to an assumption you might make in your everyday life. Does the result of this hypothesis testing yield the same result you normally use? Why or why not? Unread + Search entries or author Reply 23 е h

Answer 1

Let's take a case:

Mr. X does exercise daily for a average of 60 minutes daily with standard deviation of 10 minutes.

Here is the data for last 10 days

Day	Exercise duration
1	65
2	68
3	54
4	58
5	61
6	59
7	64
8	57
9	64
10	68

The seven step hypothesis is as follows:

1. Assumptions:

a. The data values are randomly selected

b. The data is normally distributed

2. Null Hypothesis

Ho: The mean value is equal to 60 minutes

3. Alternate Hypothesis

Ha: The mean value is not equal to 60 minutes

4. Acceptance Criteria

The level of significance (acceptance criteria) is assumed to be 0.05

5. Test

one sample t test will be used.

Following is the formula:

X-u t= o Jn where, X = Sample mean u = Population mean o = Standard Deviation n= Sample size

The sample mean and standard deviation can be easily calculated in excel:

Following are the steps to calculate the mean and standard deviation:

Step 1: Put the data onto the spreadsheet

Day Exercise duration 11 65 68 N 3 54 4 58 Ол 61 6 59 7 641 8 571 64 9 10 68

Step 2: Determine the mean using (=average) command

Day Exercise duration 1 65 2 68 3 54 4 58 5 61 6 59 7 64 00 57 9 64 10 68 |=AVERAGE(C3:012)

Day Exercise duration 1 65 20 681 3 54 4 58 5 61 6 59 7 64 8 57 9 64 10 68 Mean 61.8

Step 3: The standard deviation can be determined using the (=stdev.s) formula:

Day Exercise duration 65 68 1 2 3 54 4 58 5 61 6 59 7 64 8 57 9 64 10 68 Mean 61.8 Standard Deviation STDEV.S(C3:012)

Day Exercise duration 1 65 68 N 3 54 4 58 5 61 6 59 64 7 8 57 9 64 10 68 Mean 61.8 Standard Deviation 4.756282

By putting the above values in the given formula we get:

61.8-60 t=. 4.756 = 1.196 /10

degrees of freedom = n -1 = 10 -1 = 1

6. Evaluate results;

By referring to the t-distribution table for two tail, the p-value at t = 1.196 and df = 9 is 0.262

Since the p-value (0.262) is more than the level of significance (0.05), we accept the null hypothesis

7. Conclusion

The test results indicate the average exercise of Mr. X is 60 minutes only.