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3 years ago

Is 7.5 greater or less than 48.75?

Mathematics

2 answers:

fomenos3 years ago

7 0

Answer:

Less than

Step-by-step explanation:

7.5 < 48.75

48.75 is a bigger number than 7.5

Therefore, 7.5 is less than it.

telo118 [61]3 years ago

7 0

Answer:

Less

Step-by-step explanation:

The first thing to look at is the number to the LEFT of the decimal, if it is greater if it is greater the number will be greater no matter what's on the other side. If they are the same look at the first number to the RIGHT of the decimal. If they are also the same, keep moving one place to the right until you find a difference.

Hope this helped!!

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3 years ago

In Pennsylvania the average IQ score is 101.5 The variable is normally distributed and the population standard deviation is know

elena-14-01-66 [18.8K]

Answer:

P-value = 0.0368

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 101.5

Sample mean, $\bar{x}$ = 106.4

Sample size, n = 30

Alpha, α = 0.05

Population standard deviation, σ = 15

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 101.5\\H_A: \mu> 101.5$

We use One-tailed(right) z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{106.4 - 101.5}{\frac{15}{\sqrt{30}} } = 1.789$

Now, $z_{critical} \text{ at 0.05 level of significance } = 1.64$

Since,

$z_{stat} > z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis. Thus, students in Pennsylvania have an IQ that is significantly greater than the state average.

P-value can be calculated with the standard normal table.

P-value = 0.0368

P-value is lower than the significance level.

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3 years ago