Conrad is an architect who has just been sued because a building he helped design has collapsed and injured several people. What
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Data show that men between the ages of 20 and 29 in a general population have a mean height of 69.3 inches, with a standard deviation of 2.5 inches. a baseball analyst wonders whether the standard deviation of heights of major-league baseball players is less than 2.5 inches. the heights (in inches) of 20 randomly selected players are shown in the table.
72 74 71 72 76
70 77 75 72 72
77 72 75 70 73
74 75 73 74 74
What are the correct hypotheses for this test?
The null hypothesis is H₀?: ____ 2.5
The alternative hypothesis is H₁?: ____ 2.5
Calculate the value of the test statistic.
x² = _____ (Round to three decimal places)
Answer:
Null hypothesis, H₀: σ = 2.5
Alternative hypothesis, Hₐ: μ<2.5
Test statistic = 12.920
Step-by-step explanation:
Given Data shows that:
men between the ages of 20 and 29 in a general population have a mean height of 69.3 inches, with a standard deviation of 2.5 inches
We consider a random sample of 20 selected baseball players.
Therefore;
The Null and Alternative hypothesis are as follows:
The Null hypothesis is the standard deviation of the heights of major league baseball players is not less than 2.5 inches.
Null hypothesis, H₀: σ = 2.5
On the other hand: The Alternative hypothesis is the standard deviation of the heights of major league baseball players is less than 2.5 inches.
Alternative hypothesis, Hₐ: μ<2.5
The Mean Calculation is:
The sample standard deviation is:
The test statistics is now determined as :
Answer: Amount of purchase would be $393.70.
Step-by-step explanation:
One person made a purchase that was financed in three monthly installments and equal to $ 350.00, the financing was made at the compound interest rate of 48% a.a. Determine the amount of the purchase.
Since we have given that
Principal = $350.00
Rate of compounded monthly = 48%
Number of months = 3
So, the amount of purchase would be
Hence, Amount of purchase would be $393.70.
Answer:
4.979044478499338 × 10²⁶
Step-by-step explanation:
Combination can be used to determine the number of ways the mice can be selected for the drugs (A, B) and the control group.
Combination factorial is define by ⁿCr =
21 group of mice receiving Drug A can be selected in ⁶⁰C₂₁ =
(60 - 21 = 39 ) mice remained for selection of 21 mice for the second drug
Drug B 21 mice can be chosen with ³⁹C₂₁ =
( 39 - 21 = 18) remained for control with ¹⁸C₁₈ =
The number of ways the mice can be chosen for drug A, drug B and the control = ⁶⁰C₂₁ × ³⁹C₂₁ × ¹⁸C₁₈ = ×
×
= 4.979044478499338 × 10²⁶