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Setler [38]
3 years ago
8

According to data released in​ 2016, 69​% of students in the United States enroll in college directly after high school graduati

on. Suppose a sample of 232 recent high school graduates is randomly selected. After verifying the conditions for the Central Limit Theorem are​ met, find the probability that at most 66​% enrolled in college directly after high school graduation.
Mathematics
1 answer:
nadya68 [22]3 years ago
3 0

Answer:

15.87%

Step-by-step explanation:

The Random and Independent condition holds assuming independent.

The Large Samples condition Holds

The Big Populations condition can reasonably be assumed to hold.

Hence,

P(Atmost 66%)

P(z

= P(z < -1.0090)

= 0.1587

= 15.87%

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A recent study found that 51 children who watched a commercial for Walker Crisps (potato chips) featuring a long-standing sports
hichkok12 [17]

Answer:

1

The claim is that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

2

The kind of test to use is a t -test because a t -test is used to check if there is a difference between means of a population

3

t  =  3.054

4

The p-value  is   p-value  =  P(Z >  3.054) = 0.0011291

5

The conclusion is  

There is sufficient evidence to conclude that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

The test statistics is  

Step-by-step explanation:

From the question we are told that

   The first sample size is  n_1  =  51

    The first sample  mean is \mu_1  =  36

    The second sample size is  n_2  =  41

    The second sample  size is  \mu_2  =  25

     The first standard deviation is  \sigma _1  =  21.4 \  g

    The second standard deviation is  \sigma _2  =  12.8 \  g

  The  level of significance is  \alpha =  0.05

The  null hypothesis is  H_o  :  \mu_1 = \mu_ 2

The  alternative hypothesis is  H_a :  \mu_1 > \mu_2

Generally the test statistics is mathematically represented as

    t  =  \frac{\= x_1 - \= x_2}{ \sqrt{ \frac{s_1^2}{n_1}  + \frac{s_2^2}{n_2}  } }

=>   t  =  \frac{ 36 - 25}{ \sqrt{ \frac{ 21.4^2}{51}  + \frac{ 12.8^2}{41}  } }

=> t  =  3.054

The  p-value is mathematically represented as

     p-value  =  P(Z >  3.054)

Generally from the z table  

             P(Z >  3.054) =  0.0011291

=>   p-value  =  P(Z >  3.054) = 0.0011291

From the values obtained  we see that p-value  < \alpha so  the null hypothesis is rejected

Thus the conclusion is  

  There is sufficient evidence to conclude that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

5 0
3 years ago
PLSSS HELP IF YOU TURLY KNOW THISS
Korolek [52]
Answer to the question is: I
5 0
2 years ago
Which measure of central tendency best describes this situation: the numbers of apples in 2-lb bags?
katrin [286]

Which measure of central tendency best describes this situation:

The number of apples in 2-lb bags?

Solution: The best measure of central tendency to describe the numbers of apples in 2-lb bags is mean. Because the variable under consideration is numeric and probably we would not see outliers in 2-lb bags.

Mean is the defined as the sum of observations divided by the number of observation. The mean takes into account all the observation of the data. Mean is most preferable when the data is numeric and there are no outliers in the data.

Therefore, in the given situation, where we have number of apples in 2-lb bags, the mean will be best to use.

4 0
3 years ago
Sides of a square is 3^2/7 what is the area of the square
nydimaria [60]
Area  = square of the measure of a side =   3^(2/7) * 3^(2/7)  

=  3 ^(2/7 + 2/7)  = 3^(4/7)

Option 2
6 0
3 years ago
Which statements are true about trapezoid ABCD and its translated image, A'B'C'D'? Select two options.
V125BC [204]

Answer: 1 and 4 are correct

Step-by-step explanation: good luck!

7 0
2 years ago
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