Question
In: Statistics and Probability
Diastolic blood pressure measurements on American men ages 18-44 years follow approximately a normal curve with...
Diastolic blood pressure measurements on American men ages 18-44 years follow approximately a normal curve with μ = 81 mm Hg and σ =11 mm Hg. The distribution for women ages 18-44 is also approximately normal with the same SD but with a lower mean, μ =75 mm Hg. Suppose we are going to measure the diastolic blood pressure of n randomly selected men and n randomly selected women in the age group 18-44 years. Let E be the event that the difference between men and women will be found statistically significant by a t test. How large must n be in order to have Pr[ E] = 0.9? a. if we use a two tailed t test at a = 0.05? b .if we use a two tailed t test at a= 0.01? c. if we use a one tailed t test in the correct direction at a=0.05 ?
Solutions
orchestra answered 2 years agoRelated Solutions
Determine if there is a correlation between weight and systolic and diastolic pressure. Normal blood pressure...
Determine if there is a correlation between weight and systolic and
diastolic pressure.
Normal blood pressure 110/70 to 140/90
Girls
Weight and pressure
1. 117 (122/79)
2. 77 (110/70)
3. 115(121/80)
4. 147 (119/79)
5. 79 (109/70)
6. 117 (125/78)
7. 60 (112/71)
8. 130 (121/80)
9. 105 (122/80)
10. 94 (120/80)
Boys
Weight and pressure
1. 165 (126/78)
2. 147 (125/78)
3. 160 (120/74)
4. 168 (121/76)
5. 158 (125/80)
6. 187 (140/91)
7. 170 (131/82)
8. 145 (130/80)...
Diastolic blood pressure for diabetic women has a normal distribution with unknown mean and a standard...
Diastolic blood pressure for diabetic women has a normal
distribution with unknown mean and a standard deviation equal to 10
mmHg. Researchers want to know if the mean DBP of diabetic women is
equal to the mean DBP among the general public, which is known to
be 76 mmHg. A sample of 10 diabetic women is selected and their
mean DBP is calculated as 85mmHg.
a. Conduct the appropriate hypothesis test at the 0.01
significance level.
b. What would a...
The ages (in years) of nine men and their systolic blood pressures (in millimetres of mercury)...
The ages (in years) of nine men and their systolic blood
pressures (in millimetres of mercury) are given below.
Age
16
25
39
49
22
57
22
63
75
Systolic blood pressure
109
122
143
199
118
175
118
185
199
Name the dependent and independent variables
Calculate the correlation coefficient and interpret your
results.
Calculate the rank difference correlation coefficient
Develop the regression equation for the data set.
Predict the blood pressure of a 50-year-old and a
70-year-old....
The distribution of heights of adult American men is approximately normal with mean of 69 inches...
The
distribution of heights of adult American men is approximately
normal with mean of 69 inches in standard deviation of 2.5 inches.
a. what is the probability that a selected male is either less
than 68 or greater than 70 inches
b. find the probability that a selected male is between 69 and
73 inches
The ages (in years) of seven men and their systolic blood pressures (BP) are given below....
The ages (in years) of seven men and their systolic blood
pressures (BP) are given below.
Age
16
25
39
45
49
64
70
B.P.
109
122
143
132
199
185
199
As age increases does blood pressures increase? Test at
alphaα
= 0.05, level of significance?
Hypotheses
What are the null and alternative hypothesis?
(Use the tool pallette for symbols.)
nothing
= nothing
nothing
nothing
nothing
Calculate the Test Statistic and P-value.
Test Statistic
nothing
= nothing
P-value p...
The ages (in years) of seven men and their systolic blood pressures (BP) are given below....
The ages (in years) of seven men and their systolic blood
pressures (BP) are given below.
Age
16
25
39
45
49
64
70
B.P.
109
122
143
132
199
185
199
As age increases does blood pressures increase? Test at
alphaα
= 0.05, level of significance?
Hypotheses
What are the null and alternative hypothesis?
(Use the tool pallette for symbols.)
nothing
= nothing
nothing
nothing
nothing
Calculate the Test Statistic and P-value.
Test Statistic
nothing
= nothing
P-value p...
The amount of factor X is human blood is believed to follow a normal curve with...
The amount of factor X is human blood is believed to follow a
normal curve with a mean of 4500 units and a standard deviation of
1000 units. What is the range of test scores that will cover the
middle 75% of the population?
1. The systolic blood pressure (given in millimeters) of females has an approximately normal distribution with...
1. The systolic blood pressure (given in millimeters) of females
has an approximately normal distribution with mean μ = 122
millimeters and standard deviation σ = 16 millimeters. Systolic
blood pressure for females follows a normal distribution. What is
the probability that a female’s systolic blood pressure is less
than 90 millimeters? Round answer to 3 decimal places
2. The systolic blood pressure (given in millimeters) of females
has an approximately normal distribution with mean μ = 122
millimeters and...
Suppose the systolic blood pressure (in mm) of adult males has an approximately normal distribution with...
Suppose the systolic blood pressure (in mm) of adult males has
an approximately normal distribution with mean μμ =125 and standard
deviation σσ =14.
Create an empirical rule graph with the following:
A title and label for the horizontal axis including units.
Vertical lines for the mean and first 3 standard deviations in
each direction with numerical labels on the horizontal axis
Labels for the areas of the 8 regions separated by the vertical
lines as well.
Note: This may...
Suppose systolic blood pressure of 18-year-old females is approximately normally distributed with a mean of 123...
Suppose systolic blood pressure of 18-year-old females is
approximately normally distributed with a mean of 123 mmHg and a
variance of 615.04 mmHg. If a random sample of 18 girls were
selected from the population, find the following
probabilities:
a) The mean systolic blood pressure will be below
109 mmHg.
probability =
b) The mean systolic blood pressure will be above
124 mmHg.
probability =
c) The mean systolic blood pressure will be
between 106 and 125 mmHg.
probability =...
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