Consider the following hypothesis test. Ho:H2 70 HgiH< 70 A sample of 100 is used and the population standard deviation is 12. Compute the p-value and state your conclusion for each of the following sample results. Use a = 0.01. (a) x = 68.5 Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject Ha. There is insufficient evidence to conclude that u < 70. O Reject Ha. There is sufficient evidence to conclude that u < 70. O Do not reject Ho. There is sufficient evidence to conclude that u < 70. O Do not reject H. There is insufficient evidence to conclude that u < 70. (b) x = 67 Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject Ha. There is insufficient evidence to conclude that u < 70. O Reject Ho. There is sufficient evidence to conclude that u < 70. O Do not reject Ho. There is sufficient evidence to conclude that u < 70. O Do not reject Ho. There is insufficient evidence to conclude that u < 70.

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A: or you can use Heron's Formula to find the area of the triangle.

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A: Recall the following fact.

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.