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Tanzania [10]
3 years ago
11

A national manufacturer of ball bearings is experimenting with two different processes for producing precision ball bearings. It

is important that the diameters be as close as possible to an industry standard. The output from each process is sampled and the average error from the industry standard is measured in millimeters. The results are presented next.
Process A Process B
Sample mean 2.0 3.0
Standard deviation 1.0 0.5
Sample size 12 14

The researcher is interested in determining whether there is evidence that the two processes yield different average errors. The population standard deviations are unknown but are assumed equal. If What is the decision if we use 1% level of significance?

a. Fail to reject the null hypothesis and conclude the means are different.
b. Reject the null hypothesis and conclude the means are different.
c. Fail to reject the null hypothesis and conclude the means are the same.
d. Reject the null hypothesis and conclude the means are the same.
Mathematics
1 answer:
bonufazy [111]3 years ago
8 0

Answer:

b). Reject the null hypothesis and conclude the means are different.

Step-by-step explanation:

A hypothesis is characterized as null when the data/statistics display that there is no distinction between the particular features of the groups. As per the details provided, the decision would be to 'reject/deny the null hypothesis and deduce that the means of the processes are different.' This <u>shows that there is no association among the variables due to the distinction in the means of the two processes and other data provided</u>. Thus, <u>option b</u> is the correct answer.

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06.07 Equivalent Expressions

by Dominique

The ending of Sarah 's story

By the end of the day Sarah had found 4 shark teeth . John had found 2 shark teeth , together they had 6 shark teeth. When Sarah and John showed her neighbor the teeth he or she paid Sarah $30 dollars. Sarah and John had split the money so John would have $15 dollars and Sarah would have $15 dollars.

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Step-by-step explanation:

Substitution: Two

Use substitution to prove that your two expressions are equivalent.

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Part 2: Writing Expressions

Substitution : One

2. Translate the algebraic expression you created in Question 1 to a verbal expression

The product of seven and the sum of the product of nine and some number, two, and the product of six and some number.

Use substitution to prove that your two expressions are equivalent.

7(9j+ 6j + 2)

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Part 1: Writing Expressions

1. Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.

My expression is 7(9j+ 2 + 6j) .

Writing Equivalent Expressions

Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.

Sarah can use the expression 5(2j + 3 + j) to represent the amount of money she can earn.

You will now use mathematical properties to create two expressions that are equivalent to the expression you created in Question 1. Make sure you show all steps in your work.

7(9j+ 2 + 6j) = 7(9j+ 6j + 2) = The Commutative Property of Addition.

7(9j+ 2 + 6j) = 63j + 14 + 42j = The Distributive Property

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