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Vlad1618 [11]
3 years ago
5

Celine is estimating the number of tiles in a mosaic. There are 7 different colors, and 1,1725 tiles of each color. What should

Celine’s estimate be?
Mathematics
1 answer:
vladimir2022 [97]3 years ago
5 0
There should be about 82,075 tiles.
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A microwave manufacturing company has just switched to a new automated production system. Unfortunately, the new machinery has b
baherus [9]

Answer:

Null hypothesis:\mu \leq 6  

Alternative hypothesis:\mu > 6  

t=\frac{6.5-6}{\frac{1.5}{\sqrt{36}}}=2    

df=n-1=36-1=35

t_{crit}=1.690 with the excel code:"=T.INV(0.95,35)"

t_{crit}=1.306 with the excel code:"=T.INV(0.90,35)"

p_v =P(t_{(35)}>2)=0.0267  

If we compare the p value and the significance level given \alpha=0.05,0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that the true mean it's significantly higher than 6 at 5% and 10% of significance.  

Step-by-step explanation:

Data given and notation  

\bar X=6.5 represent the mean time for the sample  

s=1.5 represent the sample standard deviation for the sample  

n=36 sample size  

\mu_o =6 represent the value that we want to test

\alpha=0.05,0.1 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is higher than 6 days, the system of hypothesis would be:  

Null hypothesis:\mu \leq 6  

Alternative hypothesis:\mu > 6  

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{6.5-6}{\frac{1.5}{\sqrt{36}}}=2    

Critical value and P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=36-1=35

In order to calculate the critical value we need to find a quantile on the t distribution with 35 degrees of freedom that accumulates \alpha on the right. Using the significance level of 0.05 we got:

t_{crit}=1.690 with the excel code:"=T.INV(0.95,35)"

And using the significance of 0.1 we got

t_{crit}=1.306 with the excel code:"=T.INV(0.90,35)"

Since is a one side right tailed test the p value would be:  

p_v =P(t_{(35)}>2)=0.0267  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05,0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that the true mean it's significantly higher than 6 at 5% and 10% of significance.  

6 0
3 years ago
will is helping his mom get ready for a party his mom wants will to put flowers in jars to put on the tables he needs to put sev
sveticcg [70]

Answer: 6 jars

Step-by-step explanation:

7 goes into 45 6 times with 3 flowers left ove.

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3 years ago
Find the x- and y-intercepts for the linear equation –3x + 4y = 24.
Sav [38]

Answer:

x- intercept = - 8, y- intercept = 6

Step-by-step explanation:

To find the x- intercept let y = 0 and solve for x

- 3x + 4(0) = 24

- 3x = 24 ( divide both sides by - 3 )

x = - 8 ← x- intercept

To find the y- intercept let x = 0 and solve for y

- 3(0) + 4y = 24

4y = 24 ( divide both sides by 4 )

y = 6 ← y- intercept

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d1i1m1o1n [39]

Answer:

A

Step-by-step explanation:

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3 years ago
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Ben bought 4 pairs of jeams and a tshirt that cost 7 he had a cupon for 3 off the price of each pair of jeans amd spent a total
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The dependent variable is the cost of the jeans since it depends on how many jeans Ben bought. An equation that represents the situation is (4j - 12) + 7 = 92
8 0
3 years ago
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