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
Serggg [28]
2 years ago
5

An SRS of ten brands of breakfast cereals is tested for the number of calories per serving. The following data result: 185, 190,

195, 200, 205, 205, 210, 210, 225, 230. Find a 95% confidence interval estimate for the mean number of calories for servings of breakfast cereals.
Mathematics
1 answer:
Pepsi [2]2 years ago
8 0

Using the t-distribution, as we have the standard deviation for the sample, it is found that the 95% confidence interval estimate for the mean number of calories for servings of breakfast cereals is (195.3, 215.7).

<h3>What is a t-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm t\frac{s}{\sqrt{n}}

In which:

  • \overline{x} is the sample mean.
  • t is the critical value.
  • n is the sample size.
  • s is the standard deviation for the sample.

From the sample and the significance level of 0.05, we have that the parameters are given by:

\overline{x} = 205.5, s = 14.2, n = 10, t = 2.2622

Hence:

\overline{x} - t\frac{s}{\sqrt{n}} = 205.5 - 2.2622\frac{14.2}{\sqrt{10}} = 195.3

\overline{x} + t\frac{s}{\sqrt{n}} = 205.5 + 2.2622\frac{14.2}{\sqrt{10}} = 215.7

The 95% confidence interval estimate for the mean number of calories for servings of breakfast cereals is (195.3, 215.7).

More can be learned about the t-distribution at brainly.com/question/16162795

You might be interested in
Ancy
iris [78.8K]

Answer: 18:6

Step-by-step explanation:

5 0
3 years ago
Find the term indecent of x in the expansion of (x^2-1/x)^6
Mars2501 [29]

By the binomial theorem,

\displaystyle \left(x^2-\frac1x\right)^6 = \sum_{k=0}^6 \binom 6k (x^2)^{6-k} \left(-\frac1x\right)^k = \sum_{k=0}^6 \binom 6k (-1)^k x^{12-3k}

I assume you meant to say "independent", not "indecent", meaning we're looking for the constant term in the expansion. This happens for k such that

12 - 3k = 0   ===>   3k = 12   ===>   k = 4

which corresponds to the constant coefficient

\dbinom 64 (-1)^4 = \dfrac{6!}{4!(6-4)!} = \boxed{15}

3 0
2 years ago
Whats 15 over 8 multiplied by 64 over 9?
Julli [10]
40/3. You mutiply top and bottom straight across, then simplify.
8 0
3 years ago
in a class, 3/4 of the class like to go to the movies, 2/3 like action movies... how many like action movies in the class
7nadin3 [17]
50% i'm going to show you with=25%
you start a full calls

/4 going to the movies
]/3 like action movies
25%25% =50%
8 0
3 years ago
Hiw do I Graph the line y=-3
Lostsunrise [7]

Answer:

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • If a triangle has two angles that measure 45 and 90 degrees, what is the measure of the third angle
    6·2 answers
  • What is the volume of the cone with 27 as the height and 4 as the radius?
    15·1 answer
  • Chantelle has signed up for hockey. Her parents set a limit of $400 for costs for the season. It costs $250 to sign up and $5 fo
    9·1 answer
  • Shelley cleans out houses. She worked 18 hours cleaning 5 different houses. She worked an equal number of hours at each house. H
    14·1 answer
  • A triangle with vertices located at (−2, −2) and (4, −2) has an area of 24 square units. Which is one possible location of the o
    8·1 answer
  • Mr. Haney has 11 coins in dimes and quarters. The value of his coins is $2.15. how many dimes does he have?
    9·1 answer
  • What's 0.5 is 10 times as great as
    11·1 answer
  • Your answer
    5·1 answer
  • Which of the following is a convex polygon? ​
    12·1 answer
  • HELP ME PLEASE..!!!!!! Thank youuuuuu…
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!