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rjkz [21]
3 years ago
13

Can someone help me on a.) and b.) please... Thanks so much!!!

Mathematics
2 answers:
jenyasd209 [6]3 years ago
8 0

Answer:

Step-by-step explanation:s 15 s30 s70

Olegator [25]3 years ago
5 0

Answer:

a) 1 dollar more per year, b) 8 dollars an hour with no experience

Step-by-step explanation:

The first thing I want you to understand is that the line which is inbetween all of the points is the line of best fit. It basically tells you the average growth of the scatter plot.

The way we could find a is by finding the slope of the line of best fit.

You can see that every year, the pay increases by one dollar. Just look at the graph logically and understand the slope.

If you see the graph, the x-axis shows the number of years of experience. If you follow the slope, the predicted amount is 8 dollars an hour.

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Halloween Candy Halloween is Kelly's favorite holiday of the year! Based on experience, Kelly knows that on average, each house
LuckyWell [14K]

Using the <u>normal distribution and the central limit theorem</u>, it is found that there is an approximately 0% probability that the total number of candies Kelly will receive this year is smaller than last year.

Normal Probability Distribution

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.  
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
  • By the Central Limit Theorem, for n instances of a normal variable, the mean is n\mu while the standard deviation is s = \sigma\sqrt{n}.

In this problem:

  • Mean of 4 candies, hence \mu = 4.
  • Standard deviation of 1.5 candies, hence \sigma = 1.5.
  • She visited 35 houses, hence n = 35, \mu = 35(4) = 140, s = 1.5\sqrt{4} = 3

The probability is the <u>p-value of Z when X = 122</u>, hence:

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{122 - 140}{3}

Z = -6

Z = -6 has a p-value of 0.

Approximately 0% probability that the total number of candies Kelly will receive this year is smaller than last year.

A similar problem is given at brainly.com/question/24663213

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B. I hope this helped you a lot.

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