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navik [9.2K]
4 years ago
15

A random sample of 25 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 14 and the sample stand

ard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 13.5. (a) Is it appropriate to use a Student's t distribution? Explain.
Mathematics
1 answer:
lozanna [386]4 years ago
8 0

Answer:

24

Step-by-step explanation:

n = 25, \bar{X} = 10, S = 2,  α= 0.05, μ= 9.5

a) Yes, We can use student t-test.

Here, Population standard deviation (σ) is Unknown, So we can Use student t-test.

Degrees of Freedom = n-1 = 25-1=24

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