12.16 Calculating the pooled standard deviation. An experiment
was run to compare three groups. The sample...
12.16 Calculating the pooled standard deviation. An experiment
was run to compare three groups. The sample sizes were 28, 33, and
102, and the corresponding estimated standard deviations were 2.7,
2.6, and 4.8.
(a) Is it reasonable to use the assumption of equal standard
deviations when we analyze these data?
Give a reason for your answer.
(b) Give the values of the variances for the three groups.
(c) Find the pooled variance.
(d) What is the value of the pooled...
An agricultural economist wants to know if the average number of
plants grown differs for two...
An agricultural economist wants to know if the average number of
plants grown differs for two different fertilizers, which we will
call Fertilizer 1 and Fertilizer 2. He samples 45 plants from a
field sprayed with Fertilizer 1 and 45 plants from a field sprayed
with Fertilizer 2. The sample standard deviations are 4 and 1,
respectively. What test should be conducted and with what degrees
of freedom? (For the degrees of freedom, assume the agricultural
economist does not have...
If the population mean
is 1000
For n = 9 ,16 , 25 ,
49, 100,...
If the population mean
is 1000
For n = 9 ,16 , 25 ,
49, 100, 400 , 900, 1600, 2500, 4000, 10000
Compute the sample
mean for each value
If the population
standard deviation is 100
What is the sample
means standard deviation
For n = 9 ,16 , 25 ,
49, 100, 400 , 900, 1600, 2500, 4000, 10000
How does the variance
change as we increase the sample size?
a. find the mean and standard deviation of the following set of
ungrouped sample data: 4,...
a. find the mean and standard deviation of the following set of
ungrouped sample data: 4, 3, 5, 2, 3, 1, 2, 5, 3, 1, 5, 4, 6, 4, 5,
1, 3, 3, 7, 8, 7, 5, 4, 3, 7, 8, 4, 6, 9, 10, 10, 9, 6, 4, 6.
b. What proportion of the measurements lies within one standard
deviation of the mean? Within two standard deviations of the mean?
Within three standard deviations?
c. Based on part (b),...
The distribution of weights of a sample of 500 toddlers is
symmetric and bell-shaped.
According to...
The distribution of weights of a sample of 500 toddlers is
symmetric and bell-shaped.
According to the Empirical Rule, what percent of the weights will
lie between plus or
minus three sigmas (standard deviations) from the mean?
Group of answer choices
68%
34%
99.7%
95%
None of these
If a sample of toddlers has an estimated mean weight of 52
pounds and a standard
deviation of 4 pounds, then 95% of the toddlers have weights
between which two
values?
If...