JustAnswer
The systolic blood pressure (given in millimeters) of males has an approximately normal distribution with mean μ = 125 and standard deviation σ = 14. Systolic blood pressure for males follows a normal distribution. Calculate the z-scores for the male systolic blood pressures 100 and 150 millimeters.
For 100mm blood pressure, z =( x-µ)/σ = (100-125)/14 = -1.7857
For 150mm blood pressure, z =( x-µ)/σ = (150-125)/14 = 1.7857
You perform a one-sample t test and calculate a t statistic of 3.0. The mean of your sample was 1.3 and the standard deviation was 2.6. How many participants were used in this study?
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Men have an average weight of 172 pounds with a standard deviation of 29 pounds. Find the probability that 20 randomly selected men will have a sum weight greater than 3600 pounds.
Average weight µ = 172 pounds
Sample size = 20
Sample standard deviation = 29/√20 =6.485
X = 3600/20 = 180
We will use t-distribution here as sample size is 20, which is less than 30.
Hence, t = (180-172)/6.485 = 1.233
Degree of freedom = 20 – 1 = 19
Hence, P(X>180) = P(t>1.233) =0.1163 (noted from t-distribution tables)
Hence, probability that sum will be greater than 3600 pounds is 0.1163.
The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5 percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population.
a. Is this a test of one mean or proportion?
proportion
b. State the null and alternative hypotheses using symbols.
Ho: p = 0.095
H1: p < 0.095
c. Is this a right-tailed, left-tailed, or two-tailed test?
Left tailed
d. What symbol represents the random variable for this test?
[pic]
e. In words, define the random variable for this test.
the proportion of people in that town surveyed suffering from depression.
f. Calculate the following:
i. x
x = 7
ii. n
n=100
iii. p′
p’=0.07
g. Calculate σx
Standard error σx = [pic]
h. State the distribution to use for the hypothesis test.
Normal
i. Find the p-value.
[pic]
p-value = P(z ................
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