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
Nutka1998 [239]
3 years ago
13

Big babies: The National Health Statistics Reports described a study in which a sample of 354 one-year-old baby boys were weighe

d. Their mean weight was 25.8 pounds with standard deviation 5.3 pounds. A pediatrician claims that the mean weight of one-year-old boys is greater than 25 pounds. Do the data provide convincing evidence that the pediatrician's claim is true? Use the =α0.05 level of significance and the P-value method with the TI-84 Plus calculator.
Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
7 0

Answer:

Yes. The data provide enough evidence to support the claim that the mean weight of one-year-old boys is greater than 25 pounds.

P-value=P(t>2.84)=0.0024

Step-by-step explanation:

Hypothesis test on the population mean.

The claim is that the mean weight of one-year-old boys is greater than 25 pounds.

Then, the null and alternative hypothesis are:

H_0: \mu=25\\\\H_a:\mu>25

The significance level is α=0.05.

The sample size is n=354. The sample mean is 25.8 pounds and the sample standard deviation is 5.3 pounds. As the population standard deviation is estimated from the sample standard deviation, we will use a t-statistic.

The degrees of freedom are:

df=n-1=354-1=353

The t-statistic is:

t=\dfrac{\bar x-\mu}{s/\sqrt{n}}=\dfrac{25.8-25}{5.3/\sqrt{354}}=\dfrac{0.8}{0.2817}=2.84

For a right tailed test and 353 degrees of freedom, the P-value is:

P-value=P(t>2.84)=0.0024

As the P-value is smaller than the significance level, the effect is significant and the null hypothesis is rejected.

There is enough evidence to support the claim that the mean weight of one-year-old boys is greater than 25 pounds.

You might be interested in
When a number is written in scientific notation, could zero ever be in the ones place of the first factor? Which digits, if any,
makkiz [27]
No there couldn't and there is none
3 0
3 years ago
A solid toy is in the form of a hemisphere surmounted by a right circular cone. The height of the cone is 4 cm and diameter of t
docker41 [41]

Answer:

See below ~

Step-by-step explanation:

<u>Things to Find</u>

  1. Volume of Toy
  2. Difference of Volumes in Cube and Toy
  3. Total Surface of Toy

<u>Volume of Toy</u>

  • Volume of Hemisphere + Volume (Cone)
  • 2/3πr³ + 1/3πr²h
  • 1/3πr² (2r + h)
  • 1/3 x 3.14 x 16 (8 + 4)
  • 1/3 x 50.24 x 12
  • 50.24 x 4
  • <u>200.96 cm³</u>

<u></u>

<u>Volume of Circumscribing Cube</u>

  • Edge length is same as diameter
  • V = (8)³
  • V = 512 cm³

<u>Difference in Volume</u>

  • 512 - 200.96
  • <u>311.04 cm³</u>

<u></u>

<u>Slant height of cone</u>

  • l² = 4² + 4²
  • l² = 32
  • l = 4√2 cm = 5.6 cm

<u />

<u>Surface Area of Toy</u>

  • CSA (hemisphere) + CSA (Cone)
  • 2πr² + πrl
  • πr (2r + l)
  • 3.14 x 4 (8 + 5.6)
  • 12.56 x 13.6
  • <u>170.8 cm²</u>
3 0
1 year ago
What is equivalent to (x – 8)(x – 6)?
baherus [9]
X^2 - 8x - 6x + 48 i think
6 0
2 years ago
Yen paid $10.50 for 2.5 pounds of pretzels. What price did she pay for each pound of pretzels?
Furkat [3]

Answer:

The first step is to multiply by a power of 10, so the divisor is a whole number.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Will give brainlest if u slove
grin007 [14]

Answer:

:I

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • A company borrowed $25,000 at 3.5% and was charged $2,625 in interest. How long was it before the company repaid the money?
    9·2 answers
  • Original price 49.99 discount 50 percent
    5·2 answers
  • I need to find the median ,mean,mode,range,and
    7·1 answer
  • What is the solution of x^3 -1 / x^2 + 5x +4 &lt; 0?
    6·1 answer
  • I need help please??!!!
    11·1 answer
  • What value is equivalent to 2³ · 3(4)?
    8·1 answer
  • Find a formula for the sum of n terms. use the formula to find the limit as n → ∞. lim n→∞ n 3i n 2 n i = 1
    13·1 answer
  • Translate the phrase into an algebraic expression<br> The sum of x and 7
    12·1 answer
  • The temperature in El Paso was 100 degrees on Monday and was 81 degrees on Tuesday. What is the percent of decrease in the tempe
    13·1 answer
  • Pls help correct asnwers only thx
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!