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
BaLLatris [955]
3 years ago
9

A doctor is measuring the mean systolic blood pressure of female students at a large college. Systolic blood pressure is known t

o have a skewed distribution. The doctor collects systolic blood pressure measurements from random sample of 28 female students. The resulting 90% confidence interval is (100.4, 159.6). Units of systolic blood pressure are mmHg.
1. Which one of the following conclusions is valid?
Group of answer choices:
a. 90% of the female students at the college have a systolic blood pressure between 100.4 mmHg and 159.6 mmHg.
b. The sampling distribution of means will probably not follow a normal distribution, so we cannot draw a conclusion.
c. We are 90% confident that the mean systolic blood pressure for female students at the college is between 100.4 mmHg and 159.6 mmHg.
Mathematics
1 answer:
Nana76 [90]3 years ago
5 0

Answer:

The correct option is (b).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population mean (<em>μ</em>) is:

CI=\bar x\pm z_{\alpha/2}\times\frac{SD}{\sqrt{n}}

The confidence interval for population mean can be computed using either the <em>z</em>-interval or <em>t</em>-interval.

The <em>t</em>-interval is used if the following conditions are satisfied:

  • The population standard deviation is not known
  • The sample size is large enough
  • The population from which the sample is selected is normally distributed.

For computing a (1 - <em>α</em>)% confidence interval for population mean , it is necessary for the population to normally distributed if the sample selected is small, i.e.<em>n</em> < 30, because only then the sampling distribution of sample mean will be approximated by the normal distribution.

In this case the sample size is, <em>n</em> = 28 < 30.

Also it is provided that the systolic blood pressure is known to have a skewed distribution.

Since the sample is small and the population is not normally distributed, the  sampling distribution of sample mean will not be approximated by the normal distribution.

Thus, no conclusion can be drawn from the 90% confidence interval for the mean systolic blood pressure.

The correct option is (b).

You might be interested in
You work at a grocery store. Potatoes are sold for half a dollar each, including tax. How many cents should a customer expect in
cluponka [151]

Answer:

50

Step-by-step explanation:

so half a dollar is $0.50. We multiply by 9, which gives you $4.50. But the customer gave $5, so they would get $0.50 back.

3 0
3 years ago
Read 2 more answers
Use the explicit formula an = a + (n-1). d to find the 500th term of the
nadezda [96]

Answer:

Step-by-step explanation:

The difference is a2 - a1 = 31 - 24 = 7

n = 500

a500 = a1 + (500 - 1) * 7

a500 = 24 + 499 * 7

a500 = 24 + 3493

a500 = 3517

8 0
3 years ago
Multiply: 5x(2x4 – x3 + 3)
Leno4ka [110]

Answer:

10

x

5

A

−

5

x

4

A

+

15

x

A

Step-by-step explanation:

6 0
3 years ago
14. Con base en los números complejos expresados en su forma trigonométrica:
Lorico [155]
Dino nuggets































































Bro stop scrolling
5 0
2 years ago
Jack took out a 6-year loan for $25,000 to purchase a boat at a 4.5% interest rate. If the interest is compounded monthly, what
Kruka [31]

Answer: $32,732.58

Step-by-step explanation:

To calculate the total loan payment over the course of the loan period, use the future value formula:

= Loan amount * (1 + rate) ^ number of years

As this loan is compounded monthly, you need to convert certain terms to monthly figures:

Number of periods = 6 * 12 months = 72 months

Interest = 4.5 / 12 = 0.375%

Total payment:

= 25,000 * ( 1 + 0.375%)⁷²

= $32,732.58

6 0
2 years ago
Other questions:
  • Jill Barkley obtained a 25 year 460,000$ mortgage loan with 6% interest for the first payment fund the new balance to the neares
    8·1 answer
  • You drop a rock off a bridge. The rock’s height, h (in feet above the water), after t seconds is modeled by h = -16t2 + 541. Wha
    13·1 answer
  • I don’t get it ?? could someone work through it so I can understand how you get to the answer, thanks
    15·2 answers
  • Which Rule describes the composition of transformations that maps figure PQRS to figure P”Q’R”S”?
    14·2 answers
  • Solve for x and show work
    10·1 answer
  • Graph f(x)=1.99x+3 HURRY 27 BRAINLY POINTS
    6·2 answers
  • The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is r
    6·1 answer
  • Set P U (R U O)
    9·1 answer
  • Someone plz help me :(
    5·2 answers
  • (07.03)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!