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Delicious77 [7]
3 years ago
10

A teacher gave a quiz to her class of 30 students. However, she misplaced one of the quizzes. The teacher calculated the mean of

the 29 quizzes to be μ = 68 points. At this point, the teacher found the missing quiz. On this quiz, the student scored 98 points. What is the mean for the class of all 30 students?a. 69
b. 83
c. 65.7
d. 68
Mathematics
1 answer:
Zina [86]3 years ago
4 0

Answer:

B

Step-by-step explanation:

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-1

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0.0006 would be your answer based on the order you put them in.
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News article reports that "Americans have differing views on two potentially inconvenient and invasive practices that airports c
OverLord2011 [107]

Answer:

1) p1=0.83

2) p2=0.81

3) Option B

4) p=0.82

5) s=0.03

6) z=0.67

7) P=0.50

8) Do not reject H0

Step-by-step explanation:

1) The proportion of Republicans who think the full-body scans should be applied in airports is equal to the ratio between the republicans that think it should over the total Republicans in the poll:

p=X/n=258/311=0.83

2) The proportion of Democrats who think the full-body scans should be applied in airports is equal to:

p=X/n=294/363=0.81

3) As we want to know if there is a difference in the proportions calculated, not if one is higher or lower than the other, the correct option is B:

H_0:p_1-p_2=0\\\\H_a:p_1-p_2\neq0

4) The pooled estimate of a proportion is the average of both proportions:

\bar{p}=\frac{p_1+p_2}{2}= \frac{0.83+0.81}{2}=0.82

5) The standard error can be calculated as:

s=\sqrt{\frac{\bar{p}(1-\bar{p})}{n_1} +\frac{\bar{p}(1-\bar{p})}{n_2}} \\\\s=\sqrt{\frac{0.82*0.18}{311} +\frac{0.82*0.18}{363}} \\\\s=\sqrt{0.00047+0.00041} =\sqrt{0.00088}=0.03

6) The z-statistic can be calculated as:

z=\frac{p_1-p_2}{s}=\frac{0.83-0.81}{0.03}=\frac{0.02}{0.03}=0.67

7) The P-value for z=0.67 is P=0.50 (from the standard normal distribution table).

2P(Z>|z|)=0.50286

8) If the significance level is 0.01, the P-value is bigger than the significance level. The effect is not significanct. The null hypothesis is not rejected.

There is not enough evidence to say that both proportions are different.

A. Do not reject H0

8 0
3 years ago
Which type of transformation maps triangle GFH onto triangle G'F'H'?
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Answer:

rotation

Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
The Oakville High School Marching Band sold gift wrap to earn money for a band trip. Solid color gift wrap sells for $3.50 per r
GalinKa [24]

Let, number of solid color gift sold is x and printed gift wrap is y.

Also, number of printed paper sold , 325.

Expressing, it in mathematical equation :

y = 325    ....... 1)

Also, The band needs to earn $2,500 for an upcoming competition.

So ,

3.5x + 5y = 2500    ....... 2)

Solving equation 1 and 2 :

3.5x + 5(325) = 2500

3.5x = 2500 - 1625

3.5x = 875

x = 250

Therefore, number of solid paper they must sell is 250.

Hence, this is the required solution.

5 0
4 years ago
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