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

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:

Here,

= sample mean

s = sample standard deviation

n = sample size

= 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:

*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.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

step-by-step explanation: