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Sunday, April 16, 2023

The means of two large samples of sizes 1000 and 2000 are 67.5 and 68.0 respectively. Test the quality of the means of the two populations each with standard deviation of 2.5. (z table value at α0.05= -1.96).

                                                                                                                                              

MBA

Quantitative Analysis for Managerial Applications

ASSIGNMENT

 

Course Code: MMPC-005

Assignment Code: MMPC-005/TMA/JULY/2022 

Coverage : All Blocks



4. The means of two large samples of sizes 1000 and 2000 are 67.5 and 68.0 respectively. Test the quality of the means of the two populations each with standard deviation of 2.5. (z table value at α0.05= -1.96).

In statistical hypothesis testing, we start by formulating a null hypothesis (H0) and an alternative hypothesis (Ha). The null hypothesis is the statement that we want to test, while the alternative hypothesis is the statement that we want to accept if we reject the null hypothesis. The level of significance (α) is the probability of rejecting the null hypothesis when it is actually true. In this case, the level of significance is α = 0.05.

The null hypothesis in this case is that there is no significant difference between the means of the two populations, or μ1 = μ2. The alternative hypothesis is that there is a significant difference between the means of the two populations, or μ1 ≠ μ2.

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