Answer:
Yes, we reject the auto maker's claim.
Step-by-step explanation:
H0 : μ ≥ 20
H1 : μ < 20
Sample mean, xbar = 18 ;
Sample size, n = 36
Standard deviation, s = 5
At α = 0.01
The test statistic :
(xbar - μ) ÷ s /sqrt(n)
(18 - 20) ÷ 5/sqrt(36)
-2 /0.8333333
= - 2.4
Pvalue from test statistic : Pvalue = 0.00819
Pvalue < α
0.00819 < 0.01
Hence, we reject the Null
Answer:
<u>Applying Heron's Formula</u>
Now,
<u>Total Area: </u>
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<u>OAmalOHopeO</u>
Answer:
Step-by-step explanation:
Total number of kindergarten children in that region that were tested is 160
It is generally believed that nearsightedness affects about 12% of children in a certain region. Therefore,
The expected number of kindergarten children expected to be nearsighted is
12/100 × 160 = 19
Probability of success, p = 0.12
Probability of failure, q = 1 - p = 1 - 0.12 = 0.88
Standard deviation = √npq = √(160 × 0.12 × 0.88) = 4.11
The speed of Emily is assumed to be constant and is calculated by dividing the distance she traveled from her home to the post office by the time.
speed = (0.75 mile) / (4.5 minutes) = 1/6 miles/minute
Then, calculate the time it will take her to travel from home to school.
time = (3.42 miles) / (1/6 miles/minute) = 20.52 minutes
Adding this to 8:25 will give us an answer of 8:45:31 am. Thus, she will not be late.
-5t+5t+2+8-8
-5t+5t=0 or t
2+8-8=2
t+2 is the final answer