nt | 4 of 16 10 12 15 Suppose that we want to estimate the mean germination time
ID: 2906603 • Letter: N
Question
nt | 4 of 16 10 12 15 Suppose that we want to estimate the mean germination time of strawberry seeds. The germination times for the sample of strawberries we choose has a mean of 16 days and a standard deviation of 1.5 days. For each of the following sampling scenarios, determine which test statistic is appropriate to use when (In the table, Z refers to a variable having a standard normal distribution, and t refers to a variable having a t distribution.) could use either 2 or undlear t (1) The sample has size 18, and it is from a with a known of 0.9. (2) The sample has size 85, and it is from a non- standard (3) The sample has size 14, and it is from a with a known of 0.9. | population, with a distribution about which we know lo (4) The sample has size 10, and it is from a standard deviation o / (0 0 2Explanation / Answer
1)
Answer: Z test
Explanation: Z test is used wen the distribution is normal and the population standard deviation is known.
2)
Answer: Could use either z or t
Explanation: The sample size is large hence we can take a assumption of normality and perform either z or t test because for sample size greater than 30, both the test are close.
3)
Answer: unclear
Explanation: The sample size is very small to assume the normality of data points hence it is unclear which test to be performed.
4)
Answer: T test
Explanation: T test is used when the data points are normally distributed and the population standard deviation is unknown. T test is generally used for small sample size.
5)
Answer: Could use either z or t
Explanation: The sample size is large hence we can take a assumption of normality and perform either z or t test because for sample size greater than 30, both the test are close.
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