Answer:
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 550
Sample size, n = 250
Alpha, α = 0.05
Population standard deviation, σ = 120
The mean GMAT score for all test takers is 550.
The researcher believes that the mean scores in the Philippines who are interested in pursuing graduate management education will be less than 550.
We design the null and the alternate hypothesis
in the following manner:
The null hypothesis states that the sample is taken from the population and have a mean score of 550, while the alternate hypothesis states the researcher's claim that the sample of Philippines does not belong to the population and have mean score less than 550.
Answer:
60°
Step-by-step explanation:
Through point B draw a line m || AY || CX and take two points say E and F on left and right side of point B respectively.
Therefore,
m∠FBC + m∠XCB = 180°..(By interior angle property)
m∠FBC + 130° = 180°
m∠FBC = 180° - 130°
m∠FBC = 50°....(1)
Next,
m∠ABF = m∠BAY... (Alternate angles)
m∠ABC + m∠FBC = 110°
(since, m∠ABF = m∠ABC + m∠FBC)
m∠ABC + 50° = 110° (From equation 1)
m∠ABC = 110° - 50°
Answer:
The probability that the proportion of passed keypads is between 0.72 and 0.80 is 0.6677.
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes <em>n</em> > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
The standard deviation of this sampling distribution of sample proportion is:
Let <em>p</em> = the proportion of keypads that pass inspection at a cell phone assembly plant.
The probability that a randomly selected cell phone keypad passes the inspection is, <em>p</em> = 0.77.
A random sample of <em>n</em> = 111 keypads is analyzed.
Then the sampling distribution of is:
Compute the probability that the proportion of passed keypads is between 0.72 and 0.80 as follows:
Thus, the probability that the proportion of passed keypads is between 0.72 and 0.80 is 0.6677.
Answer: 0.65
Step-by-step explanation:
Let A denote that moviegoers were female and B denotes that moviegoers were under age 25.
As per given we have,
P(A)=0.56 P(B)=0.26 P(A∩B)=0.17
Using formula ,
Hence, the probability that a moviegoer is either female or under age 25 = 0.65