4) A random sample of 42 observations was made on a variable XX.
The sample mean was found to be 7.37 and the sample variance was
found to be 5.53.
Construct a 99% confidence interval for the expected
value (μμ) of XX.
Interpret the confidence interval.
Test the null hypothesis H0:μ=14.5H0:μ=14.5 against
the alternative hypothesis H1:μ>14.5H1:μ>14.5 using a 10%
significance level.
State any assumptions that you needed to make in order
for your answers to parts a. and c. to...
If the price is less than the average total cost but higher than
the average variable cost, then the firm is making a _________.
a. loss and is making a negative contribution to fixed
costs
b. loss but will continue to produce in the short-run
c. loss and will shut down in the short-run
d. profit
What two types of market scopes did Michael Porter use in
developing his generic strategies model?
Broad and narrow.
Cost leadership and focus.
Benefit...
n order to compare the means of two populations, independent
random samples of 475 observations are selected from each
population, with the following results: Sample 1 Sample 2
?⎯⎯⎯1=5228 ?⎯⎯⎯2=5165 ?1=120 ?2=160 (a) Use a 97 % confidence
interval to estimate the difference between the population means
(?1−?2). ≤(?1−?2)≤ (b) Test the null hypothesis: ?0:(?1−?2)=0
versus the alternative hypothesis: ??:(?1−?2)≠0. Using ?=0.03, give
the following: (i) the test statistic ?= 1.963 (ii) the positive
critical ? score (iii) the negative...
Find the probability that the sample mean is less than 984 if a
sample of size 100 is taken from a population with a mean of 1000
and a standard deviation of 300.
A random sample of n = 25 observations is taken from a N(µ, σ )
population. A 95% confidence interval for µ was calculated to be
(42.16, 57.84). The researcher feels that this interval is too
wide. You want to reduce the interval to a width at most 12
units.
a) For a confidence level of 95%, calculate the smallest sample
size needed.
b) For a sample size fixed at n = 25, calculate the largest
confidence level 100(1 −...
If a microscope has a resolving power of 2um (micrometers) it
means:
a) Objects less than 2 um in size cannot be seen, are
invisible.
b) Objects further than 2 um apart look like one object.
c) Objects closer than 2 um apart, look like one object.
d) Objects greater than 2 um in size cannot be seen, are
invisible.
Which of the following is not associated with a prokaryotic
cell?
a) Cell wall.
b) Cell membrane.
c) Nucleus.
d)...
A sample of n = 36 observations is drawn from a normal
population, with = 500 and = 42. Find P(500
< X̅ < 510).
a.
0.0764
b.
0.8756
c.
0.9236
d.
0.7556
e.
0.4236
1. A sample of data with n = 61 observations is used to run a
multiple regression with 5 independent
variables.
If this data set has SST = 1232.4 and SSE = 288.5, what is the
value of the multiple coefficient of
determination?
Round your answer to three decimal places.
2. A sample of data with n = 51 observations is
used to run a multiple regression with 6
independent variables.
If this data set has SST = 1794.6 and...
Suppose a random sample of n = 5 observations is selected from a
population that is normally distributed, with mean equal to 7 and
standard deviation equal to 0.33. (a) Give the mean and standard
deviation of the sampling distribution of x. (Round your standard
deviation to four decimal places.) mean standard deviation (b) Find
the probability that x exceeds 7.3. (Round your answer to four
decimal places.) (c) Find the probability that the sample mean x is
less than...