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
nadya68 [22]
3 years ago
9

For women aged​ 18-24, systolic blood pressures are normally distributed with a mean of 114.8 mm Hg and a standard deviation of

13.1 mm Hg. If 23 women aged​ 18-24 are randomly​ selected, find the probability that their mean systolic blood pressure is between 119 and 122 mm Hg. Round to four decimal places.
Mathematics
1 answer:
NNADVOKAT [17]3 years ago
8 0

Answer:

0.0579 is the probability that mean systolic blood pressure is between 119 and 122 mm Hg for the sample.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 114.8 mm Hg

Standard Deviation, σ = 13.1 mm Hg

Sample size = 23

We are given that the distribution of systolic blood pressures is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

Standard error due to sampling:

\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{13.1}{\sqrt{23}} = 2.731

P(blood pressure is between 119 and 122 mm Hg)

P(119 \leq x \leq 122) = P(\displaystyle\frac{119 - 114.8}{2.731} \leq z \leq \displaystyle\frac{122-114.8}{2.731}) = P(1.537 \leq z \leq 2.636)\\\\= P(z \leq 2.636) - P(z < 1.537)\\= 0.9958 - 0.9379 = 0.0579= 5.79\%

P(119 \leq x \leq 122) = 5.79\%

0.0579 is the probability that mean systolic blood pressure is between 119 and 122 mm Hg for the sample.

You might be interested in
A trade magazine routinely checks the​ drive-through service times of​ fast-food restaurants. Upper AA 9595​% confidence interva
Butoxors [25]

Answer:

One can be 95% confident that the drive-through service times of​ fast-food chain is between 169 seconds and 172 seconds.

Step-by-step explanation:

The confidence interval gives a range of value for the population mean or parameter, which is calculated from the statistic value of the data (that is sample statistic). This range gives the interval which is associated with a certain level of confidence for which the interval will contain the true value of the unknown parameter (true value). In the scenario above, the associated confidence level is 95%.Hence, we can be 95% confident that the true value will be continued with the interval (169 ; 172)

6 0
3 years ago
Evaluate m + n for m = 5 and n = 4. 01 09 20 54​
Alenkasestr [34]

Answer:

The answer is 9.

Step-by-step explanation:

m = 5

n = 4

m + n

(5) + (4) = 9

4 0
3 years ago
At medina middle school 2% of the students ride bikes to school. If 950 students attend Medina middle school how many students r
svet-max [94.6K]
19 students.  950 times 0.02= 19
8 0
3 years ago
Is 8 by it's self and flip on it's side infinite lol
lozanna [386]
Just because you flip and 8 does not mean it turns into an infinite sign, but it does definitely look like it :)
3 0
3 years ago
A line includes the points (2, 4) and (3, 10). What is its equation in slope-intercept form?
KATRIN_1 [288]

Answer:

6

Step-by-step explanation:

formula is y2-y1 / x2-x1

3 0
3 years ago
Read 2 more answers
Other questions:
  • A piece of string 25 and 1/2 inches long will be cut into 3/4 inch pieces how many pieces will there be
    15·1 answer
  • How many terms are in the expression a3 + 3a2b - 4ab - 11b + 7?<br><br> 7<br> 4<br> 5<br> 6
    12·2 answers
  • Analyze the diagram below and complete the instructions that follow.<br> Solve for x.
    15·1 answer
  • Calculate the power needed to raise 32lb. A distance of 12 feet in 4 seconds
    7·2 answers
  • Jonathan went to the movies with$48 he earned at his after school job. The ticket cost $8.75. He spent $7.45 for refreshments. H
    11·1 answer
  • I wasn't at school when they were teaching theoretical and experimental experimental. can someone explain how it works and give
    11·1 answer
  • Solve the inequality<br> Z-2&gt;2<br> Z &gt; 2?
    12·1 answer
  • If mZOKL = 80°, then what is mZHKJ?<br> С<br> E<br> А4<br> N<br> H<br> K<br> M
    9·1 answer
  • If a store sells a packet of gum for R5.50 what will the cost for the gum be if you add the vat​
    15·1 answer
  • Write an equation parallel to y=2x+4 that passes through the point (-2,4)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!