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Fittoniya [83]
3 years ago
13

SAT scores: The College Board reports that in 2009, the mean score on the math SAT was 582 and the population standard deviation

was =σ120. A random sample of 20 students who took the test in 2010 had a mean score of 515. Following is a dotplot of the 20 scores. (a) Are the assumptions for a hypothesis test satisfied? Explain. (b) If appropriate, perform a hypothesis test to investigate whether the mean score in 2010 differs from the mean score in 2009. Assume the population standard deviation is =σ120. What can you conclude? Use the =α0.10 level of significance and the critical value method.
Mathematics
1 answer:
Andrews [41]3 years ago
7 0

Answer:

we can conclude that there is no significant evidence to conclude that the mean score in 2010 differs from the mean score in 2009.

Step-by-step explanation:

H0 : μ = 582

H1 : μ < 582

Test statistic :

T = (xbar - μ) ÷ σ/√n

Xbar = 515 ; n = 20 ; σ = 120

T = (515 - 582) ÷ 120/√20

T = -67 / 26.832815

T = 2.50

Pvalue at t score = 2.50 ; df = 19 is 0.0187

At α = 0.0187

Pvalue > α ; Hence, we fail to reject the Null

Hence, we can conclude that there is no significant evidence to conclude that the mean score in 2010 differs from the mean score in 2009.

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The spinner shown is spun 300 times.
Ann [662]

Answer:

A) 60

B) 72/300

C) 150

Step-by-step explanation:

A) P(green) = ⅕

⅕ × 300 = 60

B) purple: 72

45+37+52+94+72 = 300

Therefore, 72/300

C) 1000 × (45/300)

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2 years ago
2(x+11) = -26 show all work pls
Degger [83]

Answer:

x = -24

Step-by-step explanation:

First, distribute 2 to all terms within the parenthesis:

2(x + 11) =

2 * x = 2x

2 * 11 = 22

2x + 22 = -26

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Additions

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~

First, subtract 22 from both sides of the equation:

2x + 22 (-22) = -26 (-22)

2x = -26 - 22

2x = -48

Next, divide 2 from both sides of the equation:

(2x)/2 = (-48)/2

x = -48/2

x = -24

x = -24 is your answer.

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4 0
2 years ago
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Step-by-step explanation:

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Option A

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