Answer:
Step-by-step explanation:
<h3>Solution 1</h3>
- The quotient is less than one as 5.6 < 7
- Let the quotient be x, then
- 5.6/7 = x
- 5.6 = 7x
- Since 5.6 < 7
- x < 1
<h3>Solution 2</h3>
- 5.6/7 = 5.6*10/7*10 = 56/70 = 4*14/5*14 = 4/5
- 4/5 < 1
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)
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Answer: 24
Step-by-step explanation:
12x2= 24
8x3=24