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2 years ago

Please help me with this

Mathematics

1 answer:

shusha [124]2 years ago

5 0

Answer:

The one one the left is 1/2 , the one on the right is 8/25

Step-by-step explanation:

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A national grocery store chain wants to test the difference in the average weight of turkeys sold in Detroit and the average wei

Arte-miy333 [17]

Answer:

Calculated value t = 1.3622 < 2.081 at 0.05 level of significance with 42 degrees of freedom

The null hypothesis is accepted .

Assume the population variances are approximately the same

Step-by-step explanation:

Explanation:-

Given data a random sample of 20 turkeys sold at the chain's stores in Detroit yielded a sample mean of 17.53 pounds, with a sample standard deviation of 3.2 pounds

The first sample size 'n₁'= 20

mean of the first sample 'x₁⁻'= 17.53 pounds

standard deviation of first sample S₁ = 3.2 pounds

Given data a random sample of 24 turkeys sold at the chain's stores in Charlotte yielded a sample mean of 14.89 pounds, with a sample standard deviation of 2.7 pounds

The second sample size n₂ = 24

mean of the second sample "x₂⁻"= 14.89 pounds

standard deviation of second sample S₂ = 2.7 pounds

Null hypothesis:-H₀: The Population Variance are approximately same

Alternatively hypothesis: H₁:The Population Variance are approximately same

Level of significance ∝ =0.05

Degrees of freedom ν = n₁ +n₂ -2 =20+24-2 = 42

Test statistic :-

$t = \frac{x^{-} _{1} - x_{2} }{\sqrt{S^2(\frac{1}{n_{1} } }+\frac{1}{n_{2} } }$

where $S^{2} = \frac{n_{1} S_{1} ^{2}+n_{2}S_{2} ^{2} }{n_{1} +n_{2} -2}$

$S^{2} = \frac{20X(3.2)^2+24X(2.7)^2}{20+24-2}$

substitute values and we get S² = 40.988

$t= \frac{17.53-14.89 }{\sqrt{40.988(\frac{1}{20} }+\frac{1}{24} )}$

t = 1.3622

Calculated value t = 1.3622

Tabulated value 't' = 2.081

Calculated value t = 1.3622 < 2.081 at 0.05 level of significance with 42 degrees of freedom

Conclusion:-

The null hypothesis is accepted

Assume the population variances are approximately the same.

6 0

3 years ago

If 2a+3<10 then which of these could be a value of a

solmaris [256]

Answer:

a < 3.5

Step-by-step explanation:

2a+3 <10

subtract 3 from each side

2a +3 -3 < 10-3

2a < 7

divide by 2

a < 7/2

a < 3.5

6 0

3 years ago

You want to invite 48

mafiozo [28]

Answer:

4 packs of invitations and 2 packs of napkins.

Step-by-step explanation:

7 0

3 years ago

What is the value of X if 9^x^-^1-2=25?

nadezda [96]

Answer:

$\frac{5}{2}$

Step-by-step explanation:

First, add two to both sides to get $9^{x-1}=27$

There are two ways to solve this from here

Think about what power you would have to raise 9 to to get to 27. $9^{\frac{1}{2}}$ = 3 and $3^3=27$ . So, multiplying the powers (because it is a power to a power) you get $9^{\frac{3}{2}}=27$ . This means that $x - 1 = \frac{3}{2}$ or x = $\frac{5}{2}$ .
Take the log of both sides.

This gives us $\log_9(27)=x-1\\\log_9(27)+1=x\\\log_9(3^3)+1=x\\3\log_9(3)+1=x\\3(\frac{1}{2})+1=x\\\frac{3}{2}+1 = x\\\\\frac{5}{2} = x$

4 0

3 years ago

What statement is true

Veseljchak [2.6K]

-10 + (-9) > 3 + (-25)
-19 > -22

5 0

3 years ago

Read 2 more answers