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roxequartz
21.08.2019 •
Mathematics
Acompany has developed a new ink-jet cartridge for its printer that it believes has a longer life-time on average than the one currently being produced. to investigate its length of life, 40 of the new cartridges were tested by counting the number of high-quality printed pages each was able to produce. the sample mean and standard deviation were determined to be 1511.4 pages and 35.7 pages, respectively. the historical average lifetime for cartridges produced by the current process is 1502.5 pages. calculate the appropriate test statistic to test the hypotheses.
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Ответ:
Step-by-step explanation:
Given that
mu = 1502.5 pages
Sample mean x bar = 1511.4 pages
Std deviation =s= 35.7 pages
Sample size n = 40
By assuming random samples since only sample std dev is know we can say that sample mean x bar follows a t distribution with
mean =1511.4 and std error =![\frac{35.7}{\sqrt{40} } \\=5.64](/tpl/images/0186/1996/3a2b1.png)
Test statistic t = Mean diff/STd error = 1.613
df = 39
Ответ:
104 degrees
Step-by-step explanation:
Since this is an isosceles triangle, two of the angles are congruent.
Angle NOP = 104 degrees
Angle NOP is congruent to angle LMN
Angle LMN = 104 degrees