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Anvisha [2.4K]
3 years ago
14

A bag contains a total of 200 dimes and nickels. Without looking, a student chooses a coin, records the type and places it back

in the bag. The student records 12 dimes and 13 nickels. What is the best prediction of the the total number of dimes in the bag?
Mathematics
1 answer:
Olegator [25]3 years ago
8 0

Answer:

  • <u>96</u>

Explanation:

The proportions of dimes and nickels in the withdrawls recorded by the student are:

  • dimes:   12/25
  • nickels: 13/25

Thus, the best prediction of the total number of dimes in the bag is found using the same ratio of dimes:

  • dimes in the bag = (12/25) × 200 = 96 ← answer

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For the hypothesis test H0: μ = 10 against H1: μ &gt;10 and variance known, calculate the Pvalue for each of the following test
Basile [38]

Answer:

a) p_v =P(Z>2.05)=1-P(z

b) p_v =P(Z>-1.84)=1-P(z

c) p_v =P(Z>0.4)=1-P(z

Step-by-step explanation:

Some previous concepts

The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct.

A z-test for one mean "is a hypothesis test that attempts to make a claim about the population mean(μ)".

The null hypothesis attempts "to show that no variation exists between variables or that a single variable is no different than its mean"

The alternative hypothesis "is the hypothesis used in hypothesis testing that is contrary to the null hypothesis"

Hypothesis

Null hypothesis: \mu=10

Alternative hypothesis: \mu >10

If the random variable is distributed like this: X \sim N(\mu,\sigma)

We assume that the variance is known so the correct test to apply here is the z test to compare means, the statistic is given by the following formula:

z_o=\frac{\bar X -\mu}{\sigma}

Since we have the values for the statistic already calculated we can calculate the p value using the following formulas:

Part a

p_v =P(Z>2.05)=1-P(z

And in order to find the answer using excel we can use the following code:

"=1-NORM.DIST(2.05,0,1,TRUE)"

Part b

p_v =P(Z>-1.84)=1-P(z

And in order to find the answer using excel we can use the following code:

"=1-NORM.DIST(-1.84,0,1,TRUE)"

Part c

p_v =P(Z>0.4)=1-P(z

And in order to find the answer using excel we can use the following code:

"=1-NORM.DIST(0.4,0,1,TRUE)"

Conclusions

If we use a reference value for the significance, let's say \alpha=0.05. For part a the p_v so then we can reject the null hypothesis at this significance level.

For part b the p_v>\alpha so then we FAIL to reject the null hypothesis at this significance level.

For part c the p_v>\alpha so again we FAIL to reject the null hypothesis at this significance level.

3 0
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Ahmad's mom prepares a plate with 5 peaches and 4 apples for the 6 students in his study group. What is the ratio of fruit to st
melomori [17]
9:6 is the ratio of fruits to students
3 0
2 years ago
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What is the solution to this system of equations?
maksim [4K]

Answer:x=3 y=1/2

Step-by-step explanation:

x+2y=4

2x-2y=5

Add both equations together

x+2x+2y-2y=4+5

3x+0=9

3x=9

Divide both sides by 3

3x/3=9/3

x=3

Substitute x=3 in x+2y=4

x+2y=4

3+2y=4

Collect like terms

2y=4-3

2y=1

Divide both sides by 2

2y/2=1/2

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8 0
3 years ago
In a candy bar, 165 calories are from sugar. There are 250 calories in the candy bar. What percent of the calories are from suga
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165/200=33/40
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Hope this helps
5 0
3 years ago
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given the midpoint of segment KL is M (1, -1) and L (8 ,-7) what are the coordinates of the other endpoint K
andrey2020 [161]

The answer is (-6, 5) for K.

In order to find this, we must first note that to find a midpoint we need to take the average of the endpoints. To do this we add them together and then divide by 2. So, using that, we can write a formula and solve for each part of the k coordinates. We'll start with just x values.

(Kx + Lx)/2 = Mx

(Kx + 8)/2 = 1

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And now we do the same thing for y values

(Ky + Ly)/2 = My

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Ky + -7 = -2

Ky = 5

This gives us the final point of (-6, 5)

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2 years ago
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