Mathematics: What is the value of the t score for a 95% confidence interval if we take a sample size of 5

What is the value of the t score for a 95% confidence

lilobekker5219

22.01.2022

The value of t-score for 95% confidence interval and a sample of size 5 is 2.776.

Step-by-step explanation:

The (1 - α)% confidence interval for population mean (μ) in case the population standard deviation is not known is given by:

$CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}$

Here,

$\bar x$ = sample mean

s = sample standard deviation

n = sample size

$t_{\alpha/2, (n-1)}$ = critical value.

The information provided is:

The confidence level is, (1 - α)% = 95%.

The sample size is, n = 5.

Compute the t score as follows:

$t_{\alpha/2, (n-1)}=t_{0.0.5/2, (5-1)}=t_{0.025, 4}=2.776$

*Use a t-table for the critical value.

Thus, the value of t-score for 95% confidence interval and a sample of size 5 is 2.776.

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ramosramos142

12.08.2020

x+6y=5

4x−5+y=0

3x+y=16

Step-by-step explanation:

Have a great day! <3

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