Complete question :
Past experience indicates that the time required for high school seniors to complete a standardized test is a normal random variable with a mean of 35 minutes. If a random sample of 20 high school seniors took an average of 33.1 minutes to complete this test with a standard deviation of 4.3 minutes, test the hypothesis, at the 0.05 level of significance.
Answer:
We conclude they there is significant evidence to support the claim That time required for high school seniors to complete test is less than 35 minutes.
Step-by-step explanation:
H0 : μ = 35
H1 : μ < 35
Sample size, n = 20
Standard deviation, s = 4.3
xbar = 33.1
Test statistic :
T = (xbar - μ) ÷ (s /√n)
T = (33.1 - 35) ÷ (4.3 /√20)
T = - 1.9 ÷ 0.9615092
T = - 1.976
The Pvalue can be obtained from the test statistic using a Pvalue calculator :
Pvalue at 0.05 ; df = 19 is 0.0314
Since, Pvalue < α ; We reject the Null and conclude that time required for high school candidate to complete test is less than 35 minutes
Answer:
Answer:160 miles
Explanation:
You can work out this type of question by using the 'unitary' method, which means finding out how much for ONE.
If you set out the steps with short sentences it will be clearer.
On 15 gallons, a car can travel 400 miles÷15↓
On 1 gallon, a car can travel 400÷15=262
miles
Once you know the distance travelled on 1 gallon of fuel, you can work out the distance travelled for any number of gallons.
On 6 gallons the car can travel
6
×
26
2
3
miles.
(6 times further than on 1 gallon)
6
×
80
3
=
160
miles
Step-by-step explanation:
8,000,000 pennies equals $80,000. 1/.05=20
20 x $80,000=$1,600,000 more that the bank was able to lend
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The given points are
R=(8,-2) , S=(11,-6), O=(-3,-9), and P=(0,-13)
To find the value of u and v, we have to perform subtraction of the points . That is
Since we get the same values of u and v , therefore the two vectors are equal .
