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Harlamova29_29 [7]
3 years ago
9

A university researcher wants to estimate the mean number of novels that seniors read during their time in college. An exit surv

ey was conducted with a random sample of 9 seniors. The sample mean was 7 novels with standard deviation 2.29 novels. Assuming that all conditions for conducting inference have been met, what is a 95 percent confidence interval for the population mean number of novels read by all seniors?
Mathematics
1 answer:
Irina-Kira [14]3 years ago
4 0

Answer:

(5.240 ; 8.760)

Step-by-step explanation:

Given :

Sample mean, xbar = 7

Standard deviation, s = 2.29

Sample size, n = 9

95% confidence interval for the population mean :

Confidence interval :

Xbar ± Margin of error

Margin of Error = Tcritical * s/sqrt(n)

Tcritical at 0.05 ; df = 8 = 2.306

Margin of Error = 2.306 * 2.29/sqrt(9)

Margin of Error = 1.760

Lower boundary = (7 - 1.760) = 5.240

Upper boundary = (7 + 1.760) = 8.760

(5.240 ; 8.760)

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Albert bought 9 pounds of fish at a grocery store at $5 per pound for salmon and $3 per pound for catfish. He spent a total of $
zalisa [80]

Answer:

5 pounds

Step-by-step explanation:

  • To find that we simply solve the system of equations
  • So make c the subject of the formula of equation 2
  • s+c=9\\c=9-s
  • Substitute in equation 1
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3 years ago
What is a1 for the geometric sequence for which a8= -3584 and a3 = 112 ?
jasenka [17]

Answer:

The first term is 28.

Step-by-step explanation:

Given: 8th term of Geometric sequence , a_8=-3584

and 3rd term of Geometric Sequence, a_3=112

We have to find First term of given geometric Sequence.

Let a be the first term of geometric sequence.

We know that,

a_n=ar^{n-1}

So,

\frac{a_8}{a_3}=\frac{ar^{8-1}}{ar^{3-1}}=\frac{-3584}{112}

\frac{r^{7}}{r^{2}}=-32

r^5=-32

r=-2

So, a_3=112

a\times(-2)^{2}=112

a=\frac{112}{4}=28

Therefore, The first term is 28.

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3 years ago
Tom made a square measuring 8 feet by 8 feet, and had 18 friends stand inside it as if they are watching a band at a small club.
UNO [17]

Answer:

The ratio of this number to the rectangle’s area is 9:32.

Step-by-step explanation:

The information provided are:

  • Tom made a square measuring 8 feet by 8 feet.
  • He had 18 friends stand inside it as if they are watching a band at a small club.

The area of the square is:

<em>A</em> = (side)²

  =(8\ \text{feet})^{2}\\\\=64\ \text{feet}^{2}

The number of people standing insider the square is:

<em>n</em> = 18

Compute the ration of <em>n</em> to <em>A</em> as follows:

n:A=18:64

        =\frac{18}{64}\\\\=\frac{9}{32}\\\\=9:32

Thus, the ratio of this number to the rectangle’s area is 9:32.

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