Question : Which of the following fall under the qualitative data?
1. Nominal and Ordinal
2. Nominal and Ratio
3. Ordinal and interval
4. Ratio and interval
Correct Answer : 1 Explanation: Nominal scales are used for labeling variables, without any quantitative value. "Nominal" scales could simply be called "labels."
Example - Male, Female - Black, Yellow, Green - North , South
Ordinal: With ordinal scales, the order of the values is what's important and significant, but the differences between each one is not really known. For example Today's feeling - Cold - Warm - Hot - Very Hot
Question : Suppose you have two populations called HEPop and HEPop. You need to check whether two populations are different from each other or not. Which of the following would help in this case?
1. You would be using K-means clustering
2. You would be using logistic regression
3. You will be using Hypothesis testing
4. You will be using Linear Regression
Correct Answer : 3 Explanation: Using the Hypothesis testing you can draw inferences on whether or not the two populations like HEPop1 and HEPop2, are different from each other or not. As populations are quite large hence, you would be doing testing on the Samples. Hence, you will be extracting the samples from the each population and then take their means, which is like u1 and u2. There are following t-tests are available for this 1. Student's t-test 2. Welch's t-test To apply the t-test, you will be having Hypothesis like Null and Alternate Hypothesis.
Question : You have two populations like HEPop and HEPop, you need to find that both the populations are different from each other or not. Which of the following is correct Hypothesis in this case?
1. Null Hypothesis : mean of(HEPop1) = mean of (HEPop2) Alternate Hypothesis: mean of (HEPop1) <> mean of (HEPop2)
2. Null Hypothesis : mean of(HEPop1) <> mean of (HEPop2) Alternate Hypothesis: mean of (HEPop1) = mean of (HEPop2)
3. Null Hypothesis : mean of(HEPop1) <> mean of (HEPop2) Alternate Hypothesis: mean of (HEPop1) <> mean of (HEPop2)
4. You cannot use mean of population for inferring the Population equality
Correct Answer : 1 Explanation: To check whether two populations are equal or not you can use the Hypothesis testing and in the Hypothesis testing you will be taking mean of the sample (If population is very large) and then take the mean of the samples. Hence, you can use mean of population as well as mean of samples. Hence, option-4 is out. Now we need to consider the two Hypothesis as below Null Hypothesis: Mean of both the population/Samples are almost equal Alternate Hypothesis: Mean of both the populations/Samples are not equal If you accept the Null Hypothesis, it means you are saying means are almost equal. And if means are almost equal then population is same. If we reject the Null Hypothesis then it means we are saying mean of both the populations are not equal (Which means accepting the alternate Hypothesis). Hence, option-1 is correct. And to test the difference in the means you can use Student's t-test or Welch's t-test.
1. A larger sample size should be taken to determine if the plant is operating correctly 2. The manufacturing process is functioning properly and no further action is required 3. Access Mostly Uused Products by 50000+ Subscribers 4. There is a flaw in the quality assurance process and the sample should be repeated