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Mathematics

1 answer:

Tju [1.3M]2 years ago

4 0

Answer:

The definition of a regular shape is that all the sides are equal and all the inside angles are equal. An irregular shape doesn't have equal sides or equal angles. For example, an equilateral triangle is a regular shape because all the sides are equal AND all the angles are equal.

Step-by-step explanation:

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A random sample of 64 second-graders in a certain school district are given a standardized mathematics skills test. The sample m

svet-max [94.6K]

Answer:

Given : The sample mean score is 51.48 .

The standard deviation for the population of test scores is 15.

The nationwide average score on this test is 50.

To Find : Perform the hypothesis test and compute the P-value?

Solution:

Sample size = n = 64

Since n > 30

So, we will use z test over here

We are supposed to find The school superintendent wants to know whether the second-graders in her school district have greater math skills than the nationwide average.

Hypothesis : $H_0:\mu \leq 50\\H_a:\mu>50$

Formula of z test : $z =\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

$x = 51.48\\\mu = 50\\\sigma = 15\\ n = 64$

Substitute the values

$z =\frac{51.48-50}{\frac{15}{\sqrt{64}}}$

$z =0.789$

Find the value of P(z) from z table

p(z)=0.7823

Since we are given that we are supposed to find The school superintendent wants to know whether the second-graders in her school district have greater math skills than the nationwide average.

So, p value = 1-P(z) = 1-0.7823=0.2177

In general , Level of significance is 0.05

So, p value is greater than alpha.

So, we accept the null hypothesis.

5 0

3 years ago

Read 2 more answers

You purchase pair of pants for $34.60 and a shirt for $12.30. If you need to pay 8% sales tax, what is the final price?

11111nata11111 [884]

Answer:

50.65

Step-by-step explanation: