If a test rejects the null hypothesis (H0 ) with the significance level set to
α = 0.05 , then it would also reject H0 with α = 0.01.
Using X-bar chart and S-chart that set control limits at ± 3 standard errors,
when the process is under control, we are more likely to signal a problem
falsely if we are using both the X-bar chart and S-charts than using only
X-bar chart.
A market research, assistant watches the next, five customer as they leave
the store. He records whether the customer is carrying a store bag that
indicates the customer made a purchase. He writes down a 'yes' or a 'no' for
each. Then the sample space for this experiment has 10 elements.
Refer to (4). The assumption of independence means that each shopper has
the same probability for carrying a bag.
Thirty randomly selected statistics students were given 12 multiple-choice
questions and 12 open-ended questions – all on the same material. The
professor was interested in determining which type (multiple-choice or
open-ended) of questions the students scored higher. Then this experiment
is an example of
a one-sample z test of means.
a two-sample t test of means.
a two-sample test of proportions.
a paired t-test.
(1) Thirty randomly selected statistics students were given 12 multiple-choice
questions and 12 open-ended questions – all on the same material. The
professor was interested in determining which type (multiple-choice or
open-ended) of questions the students scored higher. Then this experiment
is an example of
Refer to (1). This experiment an example of
a one-tailed test.
a two-tailed test.
If the rate of change from one period to the next is a constant percent, then
which one of the following statements is correct?
A log transformation is used.
A linear trend equation is used.
The slope of the trend line will be negative.
The episodic variation will always be less than 1.00.
Every now and then even a good diamond cutter has a problem and the
diamond breaks. For one cutter, the rate of break is 0.15% If the cutter works
on 60 stones, what probability model (binomial distribution, hypergeometric
distribution, or Poisson distribution) seems well suited to this problem? Why?
(5%)
Japanese environment researchers studied the performance of truss-and-frame
structures subjected to uncertain loads. The load was assumed to have a normal
distribution with a mean of 20 pounds. Also, the probability that the load is
smaller than 30 pounds is 67%. Please find the standard deviation of the load
distribution. Show your work. (6%)
A political candidate is anxious about the outcome of the election. To have his
next survey result produce a 95% confidence interval with margin of error of
no more than 0.025, how many eligible voters are needed in the sample? Show
your work. (8%)
Hudson Corporation is considering three options for managing its data
processing operation: continue with its own staff, hire an outside vendor to do
the managing. or use a combination of its own staff and an outside vendor. The
"cost" of operation depends on future demand. The annual "cost" of each
option (in thousands of dollars) depends on demands as follows. (6%)
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