Answer:
6
Step-by-step explanation:
Answer: We reject the null hypothesis, and we use Normal distribution for the test.
Step-by-step explanation:
Since we have given that
We claim that
Null hypothesis : 
Alternate hypothesis : 
There is 5% level of significance.
So, the test statistic would be
Since alternate hypothesis is left tailed test.
So, p-value = P(z≤-2.31)=0.0401
And the P-value =0.0401 is less than the given level of significance i.e. 5% 0.05.
So, we reject the null hypothesis, and we use Normal distribution for the test.
Answer:
A = $18,326.00
(assuming simple interest)
Step-by-step explanation:
Assuming simple interest, the following formula applies:
final amount = (principal amount) x [1 + (annual rate)(time elapsed) ]
or
A = P (1 + rt)
in our case,
P = $7,700
r = 5.75% = 0.0575
t = 24 years
hence,
A = 7700 [ 1 + (0.0575)(24)]
A = 7700 ( 1 + 1.38)
A = 7700 x 2.38
A = $18,326.00
Answer:
a) 23.76%
b) 7.8%
Step-by-step explanation:
a) probability that a failure is due to loose keys.
loose key failure (27%) comes under mechanical failure(88%)
hence, probability that a failure is due to loose keys= 0.27×0.88= 0.2376= 23.76%
b) probability that a failure is due to improperly connected wire which comes under electrical failure = 0.12×0.13
probability that a failure is due to poorly welded wires which comes under electrical failure= 0.52×0.12
now, the probability that a failure is due to improperly connected or poorly welded wires. = 0.12(0.52+0.13)= 0.078= 7.8%
