Help would be very much appreciated!

The manager of a paint supply store wants to estimate the actual amount of paint contained in 1-gallon cans purchased from a na

lorasvet [3.4K]

Answer:

a. 95% confidence interval estimate for the population mean amount of paint included in a 1-gallon can is 0.998±0.0055

b. No, because a 1-gallon paint can containing exactly 1-gallon of paint lies within the 95% confidence interval.

c. Yes. The population amount of paint per can is assumed normally distributed, because confidence interval calculations assume normal distribution of the parameter.

d. 90% confidence interval is 0.998±0.0046. The answer in b. didn't change; 1-gallon paint can containing exactly 1-gallon of paint lies within the 90% confidence interval. The manager doesn't have a right to complain to the manufacturer.

Step-by-step explanation:

Confidence Interval can be calculated using M±ME where

M is the sample mean amount of paint per 1-gallon can (0.998 gallon)

ME is the margin of error from the mean

And margin of error (ME) can be calculated using the equation

ME= $\frac{z*s}{\sqrt{N} }$ where

z is the corresponding statistic in the 95% confidence level (1.96)

s is the sample standard deviation (0.02 gallon)

N is the sample size (50)

Then ME= $\frac{1.96*0.02}{\sqrt{50} }$ ≈0.0055

95% confidence interval is 0.998±0.0055

90% confidence interval can be calculated similary, only z statistic is 1.64.

ME= $\frac{1.64*0.02}{\sqrt{50} }$ ≈0.0046

90% confidence interval is 0.998±0.0046

8 0

3 years ago

Consider the following equation. y = 1/3x + 10. Which of the following lines is perpendicular to the one a above ?

seraphim [82]

Answer:

D. Y=3x+10

Step-by-step explanation:

5 0

3 years ago

After doing some work in the house, Bob and Carol want to put a concrete patio on the side of the house to keep people from trac

12345 [234]

Answer:

V=3.098 yd³

Step-by-step explanation:

To answer this question we need to work with formula of the Volume of rectangular prism, the patio. Once it is required 1 inch deep. Some relations will be useful.

As 1 yard = 1 feet/3

1 yard = 1 inch/36

1 feet=12 inches

a) 23 feet 9 inches

23 ft 9''=23 +9/12=23.75 ft

b)10 feet 1 inch

10 feet 1" = 10ft + 1/12=10.083 ft

c)4 inches: 4/12 =0.33

V= w.l.h

V=23.75*10.083*0.33=79.025 ft³

Converting from cubic yard to cubic feet:

V≈79.025 : 27 yd³=2.926 yd³

Considering the possible spillage due to uneven base. ( adding 5%of V)

V≈ 2.92+0.05*(2.92)=3.098 yd³

4 0

3 years ago

Read 2 more answers

16 feet 10 minutes. 40 feet write as proportion

WINSTONCH [101]

The answer is 16/10 = 40/25
You divided 16 by 40 to see what you need to multiply 16 to get 40. When I did that I got 2.5. So I did that to the 10 and got 25 minutes. Hope this makes sense

7 0

3 years ago

F (x) = 3x - 4 , x = 2

kozerog [31]

Answer:

2

Step-by-step explanation:

f(x) = 3(2) - 4

f(x) = 6 - 4

f(x) = 2

7 0

3 years ago

Read 2 more answers