Choose the correct answer: We use the t distribution to perform a hypothesis test about the population mean when: a. The population from which the sample is drawn is approximately normal and the population standard deviation is known b. The population from which the sample is drawn is not approximately normal and the population standard deviation is known. c. The population from which the sample is drawn is approximately normal or sample size is 30 or larger and the population standard deviation is unknown. d. The population from which the sample is drawn is not approximately normal and the population standard deviation is unknown.

sbrigynt7b 2022-11-20 Answered
Choose the correct answer:
We use the t distribution to perform a hypothesis test about the population mean when:
a. The population from which the sample is drawn is approximately normal and the population standard deviation is known
b. The population from which the sample is drawn is not approximately normal and the population standard deviation is known.
c. The population from which the sample is drawn is approximately normal or sample size is 30 or larger and the population standard deviation is unknown.
d. The population from which the sample is drawn is not approximately normal and the population standard deviation is unknown.
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Answers (1)

trivialaxxf
Answered 2022-11-21 Author has 21 answers
Here we have given the multiple choice question about the testing of hypothesis for population mean.
The question is,
We use the t distribution to perform a hypothesis test about the population mean when:
Here given 4 options we have to select one correct option.
t-test and z-test are used for testing the population mean. There are two tests one is for testing one population mean and another is, testing equality of two population means.
The difference between t-test and z-test is that we use z test when population standard deviation is known and we use t test when population standard deviation is unknown.
The assumptions for t test are,
1. The population form which samples drawn is approximately Normally distributed Or sample is large i.e. grater than 30.
2. The sample drawn are independent and random.
3. The population standard deviation is unknown.
If the above three conditions satisfied then and then we can use t test for testing population mean.
Hence answer is,
C. The population from which the sample is drawn is approximately normal or sample size is 30 or larger and the population standard deviation is unknown.
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