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
anyanavicka [17]
3 years ago
13

In the third week of July, a random sample of 40 farming regions gave a sample mean of x = $6.88 per 100 pounds of watermelon. A

ssume that σ is known to be $1.98 per 100 pounds.
A farm brings 15 tons of watermelon to the market.
Find a 90% confidence interval for the population mean cash value of this crop. What is the margin of error? Hint: 1 ton is 2000 pounds. (Round your answers to two decimal places.)
Mathematics
1 answer:
suter [353]3 years ago
8 0

Answer:

a. [6.6350,7.3950]

b. ME=0.5150

Step-by-step explanation:

a. Given that n=40, \bar x=6.88 and that:z_{\alpha/2}=z_{0.05}=1.645

The required 90% confidence interval can be calculated as:

\bar x\pm(margin \ of \ error)\\\\\bar x\pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\\\\6.88\pm(1.645\times \frac{1.98}{\sqrt{40}})\\\\=[6.3650,7.3950]

Hence, the 90% confidence interval for the population mean cash value of this crop is [6.6350,7.3950]

b. The margin of error at 90% confidence interval is calculated as:

ME= z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\\\\=(1.645\times \frac{1.98}{\sqrt{40}})\\\\=0.5150

Hence, the margin of error is 0.5150

You might be interested in
Find the mean absolute deviation of the data: 5,8,8,10,13,14,16,22
Rama09 [41]

Answer:

7

Step-by-step explanation:

ghj

4 0
3 years ago
What multiplies to get -2 and adds to get -5​
tatyana61 [14]
You would have to use the quadratic formula because it’s not a perfect square
6 0
3 years ago
Simplify the expression. 4(-8x + 5) – (-33x – 26)
Cerrena [4.2K]
<span>4*​((‑(8*​x))+​5)-​(‑(33*​x))-​26

sorry if this is to hard to understand
</span>
7 0
3 years ago
Read 2 more answers
I need help plzzzzzz​
sladkih [1.3K]

Answer:

club godzilla

Step-by-step explanation:

6 0
3 years ago
What is the value of k in y = kx, if y = 12 when x = 24?
Brrunno [24]

Answer:

k = 0.5

Step-by-step explanation:

Substitue y = 12, x = 24 into y = kx.

12 = k × 24

24k = 12

k = 12 ÷ 24

k = 0.5 (final answer)

6 0
2 years ago
Read 2 more answers
Other questions:
  • Factor completely 81x8 − 1.
    9·1 answer
  • Plz What is 0.04 is 1/10 of
    10·2 answers
  • HELP PLEASE !!! If anybody sees this can you help me ASAP
    11·1 answer
  • What does it mean to estimate the mean weight of the lightest 40 males
    9·2 answers
  • look at the digit to the right. if the digit to the right is less than 5, the digit in the roundig place stay the same. if the d
    9·1 answer
  • Ashley tutors English. For each hour that she tutors, she earns 20 dollars.
    11·1 answer
  • Help I will be marking brainliest!!!
    13·1 answer
  • How do you find the scale factor of a dilation?
    15·2 answers
  • Somebody please help me with this math question and I’ll give you 26 points please if you are going to submit links do not answe
    13·1 answer
  • What is the area of the figure below ​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!