1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
SOVA2 [1]
3 years ago
6

The management of a department store is interested in estimating the difference between the mean credit purchases of customers u

sing the store's credit card versus those customers using a national major credit card. You are given the following information. (Give answers to 2 decimal places) Store's Card Major Credit Card
Sample size 64 49Sample mean $140 $125Population variance $100 $641. A point estimate for the difference between the mean purchases of the users of the two credit cards is:________.2. At 95% confidence, the margin of error is:____________.3. A 95% confidence interval estimate for the difference between the average purchases of the customers using the two different credit cards is___ to ___.
4. The test statistic for an alpha of .05 is:____________.
Mathematics
1 answer:
Mkey [24]3 years ago
4 0

Answer:

Step-by-step explanation:

1) Point estimate is the difference between the sample means. Therefore,

A point estimate for the difference between the mean purchases of the users of the two credit cards is = 140 - 125 = $15

2) Margin of error = z√(σ²/n1 + σ2²/n2)

Where

z is the z score from the 95% confidence level. From the normal distribution table, z = 1.96

s1 and s2 are standard deviation for both customers respectively.

Standard deviation = √variance

σ1 = √100 = 10

σ2 = √641 = 25.32

Margin of error = 1.96√(10²/64 + 25.32²/49 = 7.5

At 95% confidence, the margin of error is 7.5

3) The confidence interval for the difference of two population means is expressed as point estimate ± margin of error

Confidence interval = 15 ± 7.5

The upper boundary for the confidence interval is

15 - 7.5 = 7.5

The lower boundary for the confidence interval is

15 + 7.5 = 22.5

A 95% confidence interval estimate for the difference between the average purchases of the customers using the two different credit cards is $7.5 to $22.5

4) Since the population standard deviations are known, we would use the formula to determine the test statistic(z score)

z = (x1 - x2)/(√σ1²/n2 + σ2²/n2)

z = (140 - 125)/√10²/64 + 25.32²/49

z = 1.02

The test statistic for an alpha of .05 is 1.02

You might be interested in
Sharon's house, the library, and Lisa's house are all on the same straight road. Sharon has to ride her bike 1 3/5 miles to get
Zigmanuir [339]

Answer:

1.15 miles closer

Step-by-step explanation:

you just subtract 1 3/5 from 2 3/4

1 3/5 = 1 12/20

2 3/4 = 2 15/20

2 15/20- 1 12/20 = 1 3/20 = 1.15

5 0
3 years ago
If f(y) = 2y - 2/5,<br> what is f(f^-1(1024))?
SCORPION-xisa [38]

Answer:

-0.399

Step-by-step explanation:

f^-1(1024)=(2*1024-2/5)^-1= 0.000488

f(0.000488)=2*0.000488-2/5= -0.399

7 0
3 years ago
Solve for q.<br> a=qb+r<br> What is q equal to?<br> q=a−r−b<br> q=a−r/b<br> q=a/b −r<br> q=a/rb
Mademuasel [1]

The given equation is a=qb+r

We need to solve the equation for q.

<u>Value of q:</u>

The value of q can be determined by solving the equation a=qb+r for q.

Thus, subtracting both sides of the equation by r, we get;

a-r=qb

Now, dividing both sides of the equation by b, we have;

\frac{a-r}{b}=\frac{qb}{b}

Simplifying the terms, we get;

\frac{a-r}{b}=q

Therefore, the value of q is q=\frac{a-r}{b}

Hence, Option B is the correct answer.

7 0
3 years ago
1+2^2 for brainliest + 40 points
IrinaK [193]

Answer:

5

Step-by-step explanation:

u do 2x2 cuz of the square root and add the 1

5 0
3 years ago
I NEED HELP PLEASE (BE SERIOUS AND RIGHT ANSWERS ONLy)
True [87]
567 x 0.20 = 113.4
Closest Answer = 110
5 0
3 years ago
Read 2 more answers
Other questions:
  • 33 is 50% of what number ?
    13·2 answers
  • What is the value of the radical expression shown below?
    15·2 answers
  • On the first play, the football team lost 6 yards. On the second play, the team lost 5 yards. What was their total change in yar
    9·2 answers
  • Someone please give me this answer
    11·1 answer
  • I need help on part one pleaseeee :). Thank you so much!
    11·1 answer
  • A circle has a diameter of 12 meters. What is the circumstance
    5·2 answers
  • Three seedless watermelons cost 27 if pp buys 4 seedless watermelons at that same unit price how much will he pay
    8·1 answer
  • The distance light travels in one year is approximately 5,870,000,000,000 miles. The distance light travels in 100 years is:
    12·1 answer
  • What is question 5 pls help
    14·2 answers
  • Question
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!