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melomori [17]
3 years ago
7

You construct a​ 95% confidence interval for a population mean using a random sample. the confidence interval is 24.9less thanmu

less than31.5. is the probability that mu is in this interval​ 0.95? explain.
Mathematics
1 answer:
svet-max [94.6K]3 years ago
3 0
No. It is not that the probability that \mu is in the interval is 0.95 rather we are 95% confident that the true mean of the population will be in the stated interval.

Confidence interval does not specify the probability of the occurrence of a population mean in an interval, rather it specifies the level of confidence on the interval of occurrence of the population mean.
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H 32 and k is 50 this is right because I had this and passed.
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Find the volume of the prism
leva [86]

Using the formula given for area:

Area = 1/2 (7 +5)4 = 1/2(12)4 = 24 square cm.

Now to find the volume multiply the area by the depth:

24 x 6 = 144 cubic cm.

8 0
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Determine whether the forces in the pair are pulling at right angles to each other.
prohojiy [21]

Answer:

C) 3.0

Step-by-step explanation:

Let the length of the other side be x.

Using Pythagoras theorem for right-angled triangle,

4.2^2=2.9^2+x^2

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7 0
3 years ago
The fairy tale spectacular is coming to town. Admission to the fair costs $42.50 and each ride costs $.65. You have $60 to spend
galina1969 [7]

Part A: 42.50+0.65x<60

Part B: You can enjoy maximum 26 rides at the fairy tale spectacular.

Step-by-step explanation:

Given,

Admission cost to fair = $42.50

Cost of each ride = $0.65

Amount you can spend = $60

Let,

x be the number of rides you can take.

Admission fair + Cost of each ride*number of rides < Amount you can spend

Part A: write an inequality that represents this situation.

42.50+0.65x<60

Part B: solve the inequality to determine the maximum number of rides you can enjoy at the fairy tale spectacular.

42.50+0.65x

Dividing both sides by 0.65

\frac{0.65x}{0.65}

Rounding off to nearest whole number;

x<27

Less than 27 means, you cannot take 27 rides, therefore,

You can enjoy maximum 26 rides at the fairy tale spectacular.

Keywords: inequality, division

Learn more about inequalities at:

  • brainly.com/question/10629017
  • brainly.com/question/10633485

#LearnwithBrainly

7 0
3 years ago
A survey was conducted to measure the height of men. In the survey, respondents were grouped by age. In the 20-29 group the grou
kotykmax [81]

Answer:

(a) The probability that his height is less than 66 inches is 0.2743.

(b) The probability that the height is between 66 and 71 inches is 0.4679.

(c) The probability that the height is more than 71 inches is 0.2578.

Step-by-step explanation:

The data given in the question is:

Mean (μ) = 68.4

Standard Deviation (σ) = 4

Let X denote the height of men. We will use the normal distribution z-score formula to calculate the z-score and then look up the probability in the normal probability distribution table. The z-score formula is:

z = (X - μ)/σ

(a) For P(X<66), first calculate the z value.

z = (66-68.4)/4

z = -0.6 (Look up this value in the standard normal distribution table)

P(z<-0.6) = 0.2743

The probability that his height is less than 66 inches is 0.2743.

(b) P(66<X<71)  = P(X<71) - P(X<66)

We need to find P(X<71) so, calculating the z-value:

z = (71-68.4)/4

z = 0.65

P(z<0.65) = 0.7422

P(66<X<71)  = 0.7422 - 0.2743

P(66<X<71)  = 0.4679

The probability that the height is between 66 and 71 inches is 0.4679.

(c) To find the probability P(X>71), we need to find P(X<71) and then subtract it from 1 because the normal distribution table gives values for P(X<k). We have already calculated the value of P(X<71) in part (b) so,

P(X>71) = 1 - P(X<71)

            = 1 - 0.7422

P(X>71) = 0.2578

The probability that the height is more than 71 inches is 0.2578.

3 0
3 years ago
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