Answer:
An appliance manufacturer gives a warranty, and 95 percent of its appliances do not require repair before the warranty expires. An organization buys 10 of these appliances. Calculate an interval that contains 95.44 percent of all the appliances that will not require repair.
A. [8.12, 10.88]
B. [7.43, 11.57]
C. [8.81, 10.19]
D. [8.55, 10.45]
Step-by-step explanation:
We can calculate the confidence interval for a proportion p = 0.95 and a sample size n = 10.
Note that the critical value for 95.44% confidence is 1.9991. Z-score table.
Between 81.22% and 108.78% of 10 units is 8.12 and 10.88 units. Therefore the confidence interval is: (8.12, 10.88).
Answer: [ 8.12 , 10.88 ]
Answer:
y=mx+b
Step-by-step explanation:
let x = miles
we have x miles/ 60mph plus x miles / 40 mph = 1 hour
x/60 + x/40 = 1
we need to calculate 2x for the round trip
calculate common denominator and rewrite the 2 fractions:
2x/120 + 3x/120 = 1
5x= 120
x = 120/5 = 24 miles
24*2 = 48 miles total
check:
1 way would be 48/2 = 24 miles
24/60 = 0.4 hours to drive 24 miles at 60 mph
24/40 = 0.6 hours to drive 24 miles at 40 mph
0.6 +0.4 = 1 hour
Answer: 0.1318
Step-by-step explanation:
Given : The proportion of college students were very confident that their major will lead to a good job : p= 0.56
Let x be the binomial variable (for success) that represents the number of college students were very confident that their major will lead to a good job.
with parameter p = 0.56 n= 20
Using binomial , we have
Required probability :-
Hence, the probability that 13 of them were very confident their major would lead to a good job =0.1318
