Process Measurements Sample Statistics and Quality Loss Function Questions

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Mathematics

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i have an assignment that I need to do today or tomorrow. it is 3 hours once I start it. it should be questions similar to what you have helped me with in the past. Would you have time tonight to assist me with this? Most of these should be on Process contrl, statistics, etc.

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Question 1
An electronics company has developed a new battery design that is expected to have a mean life
of 1,200 cycles (Ho:μ=1200). To test this, a single sample of 6 batteries is taken. We can further
assume that battery life is normally distributed, and from the 6 samples we determine a sample
standard deviation of S = 38 cycles and sample mean of x¯ = 1224 cycles.
For all questions assume a significance level of α = 0.05
Given this hypothesis, what is the p-value of this sample?
Hypothesis Test: Mean vs. Hypothesized Value
1,200.00
1,224.00
38.00
15.51
6
5

hypothesized value
mean
std. dev.
std. error
n
df

1.55
.1825

t
p-value (two-tailed)

Given this result (from sample statistics) would you accept or reject the null hypothesis? (accept
or fail)
Accept the null
If we consider the sample mean and sample variance as the true mean and variance, what would
be the resulting new p-value?
P value = 0.000
The marketing department at the company wants to advertise this new battery with as high a
lifetime as possible, but they don't want too many batteries to die after fewer cycles than the
advertised lifetime. If ...


Anonymous
Great content here. Definitely a returning customer.

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