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
Wewaii [24]
3 years ago
14

Using the simple random sample of weights of women from a data​ set, we obtain these sample​ statistics: nequals45 and x overbar

equals148.79 lb. Research from other sources suggests that the population of weights of women has a standard deviation given by sigmaequals31.37 lb. a. Find the best point estimate of the mean weight of all women. b. Find a 90​% confidence interval estimate of the mean weight of all women.
Mathematics
1 answer:
Tomtit [17]3 years ago
3 0

Answer: (141.1, 156.48)

Step-by-step explanation:

Given sample statistics : n=45

\overline{x}=148.79\text{ lb}

\sigma=31.37\text{ lb}

a) We know that the best point estimate of the population mean is the sample mean.

Therefore, the best point estimate of the mean weight of all women = \mu=148.79\text{ lb}

b) The confidence interval for the population mean is given by :-

\mu\ \pm E, where E is the margin of error.

Formula for Margin of error :-

z_{\alpha/2}\times\dfrac{\sigma}{\sqrt{n}}

Given : Significance level : \alpha=1-0.90=0.1

Critical value : z_{\alpha/2}=z_{0.05}=\pm1.645

Margin of error : E=1.645\times\dfrac{31.37}{\sqrt{45}}\approx 7.69

Now, the 90% confidence interval for the population mean will be :-

148.79\ \pm\ 7.69 =(148.79-7.69\ ,\ 148.79+7.69)=(141.1,\ 156.48)

Hence, the 90​% confidence interval estimate of the mean weight of all women= (141.1, 156.48)

You might be interested in
Alex has 48 stickers. This is 6 times the number of stickers Max has. How many stickers does Max have?
Fantom [35]
The opposite if multiplication is division. 48/6 = 8 Max has 8 stickers.
7 0
3 years ago
Read 2 more answers
What is the measure of the central angle of a circle with radius 15ft that intercepts a 10ft arc
svetlana [45]
Radius = 15 feet
circumference = 2 * PI * 15 = <span> <span> <span> 94.25 </span></span></span>feet
the length of the arc is 10 feet
So the angle would equal (10 / 94.25) * 360 = <span> <span> <span> 0.1061007958 </span> </span> </span> * 360 =
=  <span> <span> <span> 38.196</span></span></span> degrees



5 0
3 years ago
HELP<br> Find the slope between the two points (6,-3) (7,2)
PtichkaEL [24]

Answer: The slope is 5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is 1/2 + 4/7 equal to?
Mashcka [7]
15/14 1 and 1/14 is the answer
8 0
3 years ago
Read 2 more answers
The regular price of a baseball bat is $38.20. The baseball bat is on sale for %20 off the regular price. Josef has a coupon for
Aleksandr-060686 [28]

Answer:

$27.5

Step-by-step explanation:

Other solution

38.2 X 0.8 = 30.56 (20% off)

30.56 X 0.9 = 27.504 (Another 10% off)

6 0
2 years ago
Other questions:
  • Charlie ran 5 miles in 51.5 minutes. Use the equation 5r=51.5 to find r, the average rate he ran.
    7·2 answers
  • How to solve -y-23=y-16
    6·2 answers
  • For every 8 red pens on the teachers desk there are 12 pencils. If she has 60 writing implements, does she have enough red pens
    7·1 answer
  • How many 3/4 cup servings are there in 12 cups of cereal?
    5·2 answers
  • Find the volume of the cylinder 13mm and 16mm answer choices
    10·1 answer
  • Which inequality represents all values of X for the square root of 6X squared divided by the square root of 4X
    6·1 answer
  • Plz help me this is to much
    9·1 answer
  • Find the surface are of the sphere r=13
    7·1 answer
  • A salesperson at a jewelry store earns 3​% commission each week. Last​ week, Heidi sold $450 worth of jewelry. How much did she
    5·2 answers
  • Hundred chart: I am thinking of a number that is greater than 70 but less than 100.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!