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
tensa zangetsu [6.8K]
3 years ago
5

Lifetime of $1 Bills The average lifetime of circulated $1 bills is 18 months. A researcher believes that the average lifetime i

s not 18 months. He researched the lifetime of 50 $1 bills and found the average lifetime was 18.8 months. The population standard deviation is 2.8 months. At α = 0.02, can it be concluded that the average lifetime of a circulated $1 bill differs from 18 months?
Mathematics
1 answer:
OLEGan [10]3 years ago
6 0
<h2>Answer with explanation:</h2>

Let \mu be the population mean lifetime of circulated $1 bills.

By considering the given information , we have :-

H_0:\mu=18\\\\H_a:\mu\neq18

Since the alternative hypotheses is two tailed so the test is a two tailed test.

We assume that the lifetime of circulated $1 bills is normally distributed.

Given : Sample size :  n=50 , which is greater than 30 .

It means the sample is large so we use z-test.

Sample mean : \overline{x}=18.8

Standard deviation : \sigma=2.8

Test statistic for population mean :-

z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

\Rightarrow\ z=\dfrac{18.8-18}{\dfrac{2.8}{\sqrt{50}}}\approx2.02

The p-value= 2P(z>2.02)=0.0433834

Since the p-value (0.0433834) is greater than the significance level (0.02) , so we do not reject the null hypothesis.

Hence, we conclude that we do not have enough evidence to support the alternative hypothesis that the average lifetime of a circulated $1 bill differs from 18 months.

You might be interested in
What is 41÷0•2 that is the question I have
Fofino [41]

Answer:

205

Step-by-step explanation:

7 0
3 years ago
It's -52 degrees F in Antarctica in the morning how many degrees must the temperature rise to reach 0 degrees F?
cluponka [151]
52 degrees f........
7 0
3 years ago
Read 2 more answers
Simplify.<br> 1/4(3x-7)+3/4x
Ivan

Answer:

C. 1\frac{1}{2} x - 1\frac{3}{4}

Step-by-step explanation:

c

7 0
1 year ago
Read 2 more answers
Jason's piggy bank contained $5.70 in nickels and pennies. If there were 30 more pennies than nickels, how many of each did he h
ValentinkaMS [17]

Answer:

98 nickles and 128 pennies

Step-by-step explanation:

You probably can't read my hand writing but I spent like, 15 minutes on this. This is the correct answer, but I don't know how to explain how it is but I promise it is!

8 0
3 years ago
1. Jemima wants to make chocolate chip walnut brownles. Chocolate chips come in a 12oz bag that costs $3. Walnuts
fomenos

Answer:

4 bags of chocolate chips and 1 bag of walnuts.

Step-by-step explanation:

Find how many ounces are in 3 pounds:

16 oz = 1 lb

16 oz × 3 = 3 lbs

48 oz = 3 lbs

Variable x = number of chocolate chips

Variable y = number of walnuts

4x + 1y = 15

Keep in mind it must equal up to 48 oz and be $15 or under.

4 bags × 12 oz = 48 oz

1 bag × 4 oz = 4 oz

48 oz + 4 oz = 52 oz > 48 oz

4 bags × $3 = $12

1 bag × $2 = $2

$12 + $2 = $14 < $15

Both requirements have been met.

7 0
2 years ago
Other questions:
  • 13. You and a friend have dinner at a restaurant. Your meal costs $15.85 and
    6·1 answer
  • A company produces metal slabs for industrial use. the slabs come in 3 thicknesses: 5in, 10in, and 15in. the weights of each thi
    12·2 answers
  • 6x=72 can be solved with what property
    14·1 answer
  • 7⁄8 = ?⁄48<br><br>A.13<br>B.1<br>C:6<br>D:42
    5·2 answers
  • Which of the following factors contributes the most to the calculation of FICO scores?
    7·2 answers
  • Solve 5m − 3h = 45 for h.
    5·1 answer
  • Julia is evaluating the expression 40-6W + 2 When W= 4. What should be Julia's first step in order to evaluate the expression co
    5·1 answer
  • Two random samples were drawn from two employers to obtain information about hourly wages. Use the following information and the
    15·1 answer
  • A drawing of the Pittsburgh Airport uses a scale of 1 centimeter = 250 meters. Runway A is drawn 12 centimeters long. How many m
    14·1 answer
  • Factor 4x^4+8x^2+1<br> PLZ try hurry ;-;.....anyone?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!