The difference of a and b is 3. The sum of the variable is 13

An automobile manufacturer has developed a new compact automobile. A random sample of 64 of the new automobiles showed that the

Firdavs [7]

Answer:

The 95% confidence interval for the population mean mileage is

(27.917, 29.593)

The 98% confidence interval for the population mean mileage

(27.737, 29.762)

Step-by-step explanation:

Step(i):-

Given that the random sample size 'n' = 64

Given that the mean of sample x⁻ = 28.75miles

Given that the standard deviation of the sample (S) = 3.4 miles

Degrees of freedom = n-1 = 64-1 =63

t₀.₀₅ = 1.9983

Step(ii):-

95% confidence interval for the population mean mileage is determined by

$(x^{-} - t_{0.05} \frac{S}{\sqrt{n} } , x^{-} + t_{0.05} \frac{S}{\sqrt{n} })$

$(28.75-1.99\frac{3.4}{\sqrt{64} },28.75 + 1.99 \frac{3.4}{\sqrt{64} } )$

(28.75 - 0.845 , 28.75 + 0.845)

(27.917 , 29.593)

Step(iii):-

98% confidence interval for the population mean mileage is determined by

$(x^{-} - t_{0.02} \frac{S}{\sqrt{n} } , x^{-} + t_{0.02} \frac{S}{\sqrt{n} })$

$(28.75-2.3824\frac{3.4}{\sqrt{64} },28.75 + 2.3824 \frac{3.4}{\sqrt{64} } )$

(28.75 - 1.01252 , 28.75 + 1.01252)

(27.737 , 29.762)

Final answer:-

98% confidence interval for the population mean mileage is

(27.737 , 29.762)

7 0

2 years ago

Janelle earns $950 a week.Carter earns $50,320 a year.Each works 52 weeks a year.What is the difference between the amounts Jane

Dvinal [7]

First, let's figure out how much money Carter earns in 1 year. This is equal to 50,320*30 = 1,509,600, so Carter makes $1,509,600 in 30 years.

Next, we need to figure out how much money Janelle makes. We can do this two ways. We can figure out how many weeks are in 30 years, or we can figure out how much money Janelle makes in a year and then multiplying that name by 30. I will solve this problem in the second way.

In order to figure out how much money Janelle makes in a year, we do 950*52 = 49,400. Janelle makes 49,400 per year. Now, we multiply this number by 30 to see how much she makes in 30 years. 49,400*30 = 1,482,000. Janelle makes $1,482,000 in 30 years.

Now, we need to finish the problem. We do this by subtracting the amount of money that Janelle makes from the amount of money that Carter makes. This is: 1,509,600 - 1,482,000 = 27,600. The difference between the amount that Janelle makes and Carter makes in 30 years is $27,600

6 0

3 years ago

Drag and drop the statement into the correct box.

a_sh-v [17]

Answer:

true on all but the last one

Step-by-step explanation:

the last one is false because a trapezoid is considered a quadrilateral that has exactly one pair of parallel sides.

8 0

1 year ago

What is the area of this tile?

Lady bird [3.3K]

Answer:

480 in.

Step-by-step explanation:

10 in. × 8 in. × 6 in. = 480 in.

4 0

2 years ago

Which expression is undefined? ОА A 0:6 B. 6:0 C-14:3 O 0 14 = (-3) D

avanturin [10]

Answer:

c

Step-by-step explanation:

because it would have many solutions

5 0

1 year ago