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Hannah wanted to investigate whether there was a difference in the time spent in the checkout line between two grocery stores in a large city. She went to Grocery Store J on a Monday morning and recorded the time, in minutes, it took 30 customers to go through a checkout line. Then she went to Grocery Store K on Monday afternoon and recorded the time it took 30 customers to go through a checkout line. Hannah calculated the mean number of minutes for the customers in each line. She intends to conduct a two-sample tt-test for a difference in means between the two stores.

Have all conditions for inference been met?

A. Yes, all conditions have been met.
B. No, the data were not collected using a random method.
C. No, the sample sizes are greater than 10 percent of the population.
D. NO, the sample sizes are not large enough to assume normality of the sampling distribution.
E. No, the distributions of the sample data are not approximately normal.

Respuesta :

kendrich

Answer:

YES ALL THE CONDITIONS HAVE BEEN MET

Step-by-step explanation:

H o:mu1=mu2

Ha:mu1 not = mu2

n1=30

n2=30

large samples follows normal distribution

and they are independent samples

we can conduct t test for 2 groups we can ignore that condition randomness

YES ALL THE CONDITIONS HAVE BEEN MET

Option A: Yes, all conditions have been met.

What are the necessary conditions of inference?

  • Randomness
  • Normality of the distribution
  • Independence of the distributions from each other.

How to know if all the conditions of inference are met?

The since the time spent in the checkout line was random and not affected by any act of Hannah or that of the remaining other Grocery store, thus it was random.

As the sample grows larger, the distribution turns to normal distribution.

Both the stores were different and working independent.

Thus, the conditions of inference which are: Randomness, Normality and Independence all are met.

Thus she can bring out the null and alternative hypothesis and can conduct the t-test.

Thus, Option A: Yes, all the conditions have been met.

Learn more null and alternative hypothesis:

https://brainly.com/question/4454077

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