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Answer :
All the conditions for inference are met.
Define random sample?
A random sample in probability refers to a subset of individuals or items selected from a larger population using a random process that gives each individual or item an equal chance of being selected. This technique is commonly used in statistical analysis to make inferences about the larger population based on the characteristics of the randomly selected sample.
What is known as large count comndition?
In probability theory, the "large count condition" typically refers to the phenomenon where the distribution of the sum of independent and identically distributed random variables becomes increasingly normal as the number of variables increases. This is also known as the central limit theorem. Essentially, as the sample size gets larger, the distribution of the sample mean approaches a normal distribution, regardless of the underlying distribution of the individual observations.
Random condition: Yes, since it is given that a random sample of 500 gift cards purchased more than 1 year ago is selected.
10% condition: Yes, since the sample size of 500 is less than 10% of the total population of gift cards sold more than 1 year ago.
Large counts condition: Yes, since both the number of unused gift cards (20) and the number of used gift cards (480) are greater than 10.
Therefore, all the conditions for inference are met.
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Answer:
All conditions were met and yes.
Step-by-step explanation:
i got them all right
