What is the graph of the inequality in the coordinate plane? y<-4
1 answer:
Hola Jessica!
Essentially it's a horizontal, dashed line crossing directly over the -4 in the y-axis.
Keep in mind stuff like y = h or y </>/≤/≥ h all result in horizontal lines with it crossing directly over h. x = v or x </>/≤/≥ v all result in vertical lines crossing directly over v.
< = dashed-line; shade above line
> = dashed-line; shade below line
≤ = solid-line; shade above line
≥ = solid-line; shade below line
Essentially it's a horizontal, dashed line crossing directly over the -4 in the y-axis.
Keep in mind stuff like y = h or y </>/≤/≥ h all result in horizontal lines with it crossing directly over h. x = v or x </>/≤/≥ v all result in vertical lines crossing directly over v.
< = dashed-line; shade above line
> = dashed-line; shade below line
≤ = solid-line; shade above line
≥ = solid-line; shade below line
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Given Information:
Number of lithium batteries = n = 16
Mean life of lithium batteries = μ = 645 hours
Standard deviation of lithium batteries = σ = 31 hours
Confidence level = 95%
Required Information:
Confidence Interval = ?
Answer:
Step-by-step explanation:
The confidence interval is given by
Where μ is the mean life of lithium batteries, σ is the standard deviation, n is number of lithium batteries selected, and t is the critical value from the t-table with significance level of
tα/2 = (1 - 0.95) = 0.05/2 = 0.025
and the degree of freedom is
DoF = n - 1 = 16 - 1 = 15
The critical value (tα/2) at 15 DoF is equal to 2.131 (from the t-table)
Therefore, the 95% confidence interval is 628.5 to 661.5 hours
What does it mean?
It means that we are 95% confident that the mean life of 16 lithium batteries is within the interval of (628.5 to 661.5 hours)