What is the simplified form of the expression? 9. (m^7)^2 a) 2m^14 b) m^49 c) m^9 d) m^14
1 answer:
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Answer:
Probability that the student scored between 455 and 573 on the exam is 0.38292.
Step-by-step explanation:
We are given that Math scores on the SAT exam are normally distributed with a mean of 514 and a standard deviation of 118.
<u><em>Let X = Math scores on the SAT exam</em></u>
So, X ~ Normal()
The z score probability distribution for normal distribution is given by;
Z = ~ N(0,1)
where, = population mean score = 514
= standard deviation = 118
Now, the probability that the student scored between 455 and 573 on the exam is given by = P(455 < X < 573)
P(455 < X < 573) = P(X < 573) - P(X 455)
P(X < 573) = P( <
) = P(Z < 0.50) = 0.69146
P(X 2.9) = P(
) = P(Z
-0.50) = 1 - P(Z < 0.50)
= 1 - 0.69146 = 0.30854
<em>The above probability is calculated by looking at the value of x = 0.50 in the z table which has an area of 0.69146.</em>
Therefore, P(455 < X < 573) = 0.69146 - 0.30854 = <u>0.38292</u>
Hence, probability that the student scored between 455 and 573 on the exam is 0.38292.
Answer:
Alternative hypothesis:
Or in the alternative way would be:
Alternative hypothesis:
Step-by-step explanation:
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
On this case the claim that they want to test is: "The means for the two groups (American Idol and 60 Minutes) is the same". So we want to check if we have significant differences between the two means, so this needs to be on the alternative hypothesis and on the null hypothesis we need to have the complement of the alternative hypothesis.
Null hypothesis:
This null hypothesis can be expressed like this:
Null hypothesis:
Alternative hypothesis:
Or in the alternative way would be:
Alternative hypothesis: