Answer:
a) 0.3571
b) The p-value is 0.362007.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 1.35
Sample mean, = 1.4
Sample size, n = 26
Alpha, α = 0.01
Sample standard deviation, s = 0.7
First, we design the null and the alternate hypothesis
We use One-tailed t test to perform this hypothesis.
a) Formula:
Putting all the values, we have
b) The p-value at t-statistic 0.3571 and degree of freedom 25 is 0.362007.
<u>Part A)</u> <em>How many bowls of granola can Nick make with fraction 1 over 2 cup of syrup?</em>
So if we have 1/2 cup of syrup and 1/6 is needed we can divide 1/2 by 1/6 to find our answer for part a.
1/2 / 1/6
"keep change flip" -> 1/2 x 6
answer -> 3
He can make 3 bowls of granola
<u>Part B)</u> <em>On your own paper, draw a fraction model that shows the total number of bowls of granola that Nick can make with fraction 1 over 2 cup of syrup. Make sure to label the model. Below, explain your model in detail to describe how this model visually shows the solution for Part A. </em>
(visual attatched)
You could say "This model visually shows the solution for Part A because each bowl of granola has 1/6 cup of syrup in it. The 1/2 cup is split into 3 different parts, as you can see"
(draw it neater though, it's hard on a computer with a mouse haha)
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(second problem you commented)
Part A: <em>How many 3 over 4 foot pieces can Clark cut from the 7 and 1 over 2 feet of wire? Show your work. (5 points)</em>
First let us change 7 1/2 into an improper fractoin,
7 x 2 = 14 + 1 = 15/2
So then we can, as we did above, divide 15/2 by 3/4 which looks like:
15/2 / 3/4
keep, change, flip -> 15/2 x 4/3
60 / 6
answer -> 10
Clarck can cut <u>10</u> 3/4 foot pieces.
Part B: <em>Using the information in Part A, interpret the meaning of the quotient in terms of the two fractions given.</em>
*I am honestly kind of confused by this question, so here is some words that are hopefully somewhat correct*
You could say here that "Calrck had 7 1/2 feet of wire. He needed 3/4 pieces, so when he cut it up he got 10 pieces. This is because 3/4 times 10 is 7 1/2 so this quotient makes sense with the two fractions given."
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Hopefully these are correct and help, have a nice day! :D
