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A sample of Alzheimer's patients are tested to assess the amount of time in stage IV sleep. It has been hypothesized that individuals suffering from Alzheimer's Disease may spend less time per night in the deeper stages of sleep. Number of minutes spent in Stage IV sleep is recorded for sixty-one patients. The sample produced a mean of 59 minutes with a standard deviation of 27 minutes of stage IV sleep over a 24 hour period of time. What is the length of the 95 percent confidence interval for this data.
Note: Round your answer to 4 decimal places.
A process has been developed that can transform ordinary iron into a kind of super iron called metallic glass. Metallic glass is three to four times stronger than the toughest steel alloys. To estimate the mean temperature at which a particular type of metallic glass becomes brittle, 20 pieces of this material were randomly sampled from a recent production run. Each piece was subjected to higher and higher temperatures until it became brittle. The temperature at which brittleness first appeared was recorded for each piece in the sample. The result suggests that the average temperature which brittleness first appeared is about 545 degrees Fahrenheit with a standard deviation of 27 degrees Fahrenheit. Calculate the length of the 95% confidence interval for the mean temperature at which a particular type of metallic glass becomes brittle.
Note: Round your answer to 4 decimal places.
A process has been developed that can transform ordinary iron into a kind of super iron called metallic glass. Metallic glass is three to four times stronger than the toughest steel alloys. To estimate the mean temperature at which a particular type of metallic glass becomes brittle, 20 pieces of this material were randomly sampled from a recent production run. Each piece was subjected to higher and higher temperatures until it became brittle. The temperature at which brittleness first appeared was recorded for each piece in the sample. The result suggests that the average temperature which brittleness first appeared is about 545 degrees Fahrenheit with a standard deviation of 27 degrees Fahrenheit. Calculate the length of the 95% confidence interval for the mean temperature at which a particular type of metallic glass becomes brittle.
Direction: Complete the table below by constructing and illustrating the
probability distribution of Example 3 (refer to page 7).
Solution
Steps
1. List the sample space
2. Count the number of tails
in each outcome and
assign this number to this
outcome.
3. Construct the frequency
distribution of the values of
the given random variable.
4. Construct the probability
distribution of the given
random variable by getting
the probability of
occurrence of each value of
the random variable.
5. Construct the probability
histogram
Find dy/dx for the equation y= 3x-5/×^2-4x
Variable a representing the number of male teachers per elementary school
Solve the sample mean and the probability of each sample mean by constructing all random samples consisting of two observations from the given data.
Watermelon
A
B
C
D
E
F
Weight (in pounds)
19
14
15
9
10
17
Given: X={1,2,3,4}
R = {(1, 1), (1, 2), (1, 3), (1, 4), (2, 2), (2, 3), (2, 4), (3, 3), (3, 4), (4, 4)}defined by the rule (x, y) ∈R if x ≤y
The number of inquiries received per day by the Office of Admissions in a certain university is shown below. Find the variance
and standard deviation.
Number of inquiries: 20, 21,22,23,24,25, 26
Probability: 0.07, 0.17, 0.26, 0.31, 0.2, 0.13,0.12
The number of inquiries received per day by the Office of
Admissions in a certain university is shown below. Find the variance
and standard deviation.
Number of inquiries: 20, 21,22,23,24,25, 26
Probability: 0.07, 0.17, 0.26, 0.31, 0.2, 0.13,0.12
