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crimeas [40]
3 years ago
6

A random sample of 11 fields of rye has a mean yield of 20.1 bushels per acre and standard deviation of 7.66 bushels per acre. D

etermine the 80% confidence interval for the true mean yield. Assume the population is approximately normal. Round your answer to one decimal place.
Mathematics
1 answer:
Lady bird [3.3K]3 years ago
8 0

Answer:

17.1≤x≤23.1

Step-by-step explanation:

The formula for calculating the confidence interval is expressed as;

CI = x ± z*s/√n

x is the mean yield = 20.1

z is the 80% z-score = 1.282

s is the standard deviation = 7.66

n is the sample size =  11

Substitute

CI = 20.1 ± 1.282*7.66/√11

CI = 20.1 ± 1.282*7.66/3.3166

CI = 20.1 ± 1.282*2.3095

CI =  20.1 ±2.9609

CI = (20.1-2.9609, 20.1+2.9609)

CI = (17.139, 23.0609)

hence the required confidence interval to 1dp is 17.1≤x≤23.1

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6 0
2 years ago
Jeremy buys 2 sweaters for $18 each. He can use only one of the following coupons:
katen-ka-za [31]

Jeremy should use coupon 2 because when you multiply both the sweaters (36) by .25 you get 9, and then you subtract 36 by 9 which is 27.

But when you use coupon 1 you multiply 18 by .40 which is 7.20 where you subtract 18 by 7.20 which is 10.80. You then add 10.80 with 18 which is 28.80.

I don't even know what the question is but I found the same problem and this was the answer

7 0
3 years ago
Marise blew up 24 balloons. She tied the balloons together in groups of 4. How many groups did she make?
Ratling [72]

Answer:

6

Step-by-step explanation:

you have 24 ballons, so you divide them by how many groups you can make, 4, then you have the equation 24/4, which equal 6

if you have any questions, leave them in the comments and i will try to answer them, if this helped, pls give brainliest

5 0
3 years ago
Forensic specialists can estimate the height of a deceased person from the lengths of the person's bones. These lengths are subs
Lera25 [3.4K]

Answer:

130.2845\leq h\leq 137.7245

Step-by-step explanation:

Given an inequality that relates the height h, in centimeters, of an adult female and the length f, in centimeters, of her femur by the equation

|h - (2.47f + 54.10)| \leq  3.72

If an adult female measures her femur as 32.25 centimeters, we can determine the possible range of her height by plugging f = 32.25cm into the modelled equation as shown:

|h - (2.47(32.25) + 54.10)| \leq  3.72\\|h - (79.9045 + 54.10)| \leq  3.72\\|h - (134.0045)| \leq  3.72\\

If the modulus function is positive then:

h - 134.0045 \leq  3.72\\h \leq 3.71+134.0045\\h\leq 137.7245

If the modulus function is negative then:

-(h - 134.0045) \leq  3.72\\-h+134.0045 \leq 3.72\\-h\leq 3.72-134.0045\\-h\leq -130.2845\\

multiply through by -1

-(-h)\geq  -(-130.2845)\\h\geq 130.2845\\130.2845\leq h

combining the resulting inequalities, the estimate of the possible range of heights will be 130.2845\leq h\leq 137.7245

8 0
3 years ago
Last sunday 1575 people visited the amusement park 56% was adults 16% were teenagers and 28% are children ages 12 and under find
Butoxors [25]

Answer:

984 adults

281 teens

492 children

Step-by-step explanation: Multiply the total by the corresponding percentage to find the number. We assume the percentages have been rounded, so some adjustment is needed in the result of the multiplication.

{adults, teens, children} = 1757 × {.56, .16, .28} = {983.92, 281.12, 491.96}

 ≈ {984, 281, 492}

8 0
2 years ago
Read 2 more answers
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