Solve the equation. Round the answer to the nearest tenth.<br> 5*6^3n=20

Consider the following hypothesis test. H0: μ ≥ 55 Ha: μ < 55 A sample of 36 is used. Identify the p-value and state your con

Ket [755]

Answer:

Step-by-step explanation:

Given that:

$H_o: \mu \ge 55 \ \\ \\ H_1 : \mu < 55$

(a) For x = 54 and s = 5.3

The test statistics can be computed as:

$Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }$

$Z = \dfrac{54-55}{\dfrac{5.3}{\sqrt{36}} }$

$Z = \dfrac{-1}{\dfrac{5.3}{6} }$

Z = -1.132

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(-1.132,35,1) = 0.1326

Decision: p-value is greater than significance level; do not reject $\mathbf{H_o}$

$Conclusion: \ There \ is \ insufficient \ evidence \ to \ conclude \ that \$ $\mu < 55$

b

For x = 53 and s = 4.6

The test statistics can be computed as:

$Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }$

$Z = \dfrac{53-55}{\dfrac{4.6}{\sqrt{36}} }$

$Z = \dfrac{-2}{\dfrac{4.6}{6} }$

Z = -2.6087

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(-2.6087,35,1) =0.0066

Decision: p-value is < significance level; we reject the null hypothesis.

$Conclusion: \ There \ is \ sufficient \ evidence \ to \ conclude \ that$ $\mu < 55$

c)

For x = 56 and s = 5.0

The test statistics can be computed as:

$Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }$

$Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }$

Z = 1.2

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(1.2,35,1) = 0.88009

Decision: p-value is greater than significance level; do not reject $\mathbf{H_o}$

$Conclusion: \ There \ is \ insufficient \ evidence \ to \ conclude \ that \$ $\mu < 55$

6 0

3 years ago

betty has 15 less than triple the number of points that jennie has. Write an expression to find how many points betty 1. has??

Troyanec [42]

3x - 15

less than or more than trick-------> the number before those words should be the second number in the equation

4 0

3 years ago

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Where does f(x) = 3x2 – 11x – 4 intersect the x-axis? The negative x-intercept is at ( , 0). The positive x-intercept is at ( ,

frez [133]

X=-1/3 and x=4 are the positive and negative x intercepts

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3 years ago

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Point J is located at (-4,4).<br> Select all of the following that are 4 units from point J.

lara [203]

Answer:

<h2><em>All of the above!</em></h2>

Step-by-step explanation:

They all are 4 points away from (-4, 4)..

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<u>Hope this helps.</u>

4 0

3 years ago

I'm trying to find the answer for number 4 Anyone have answers ?

Airida [17]

As there are 6 friends then each friend gets an equal amount so the popcorn is 48:6 or 8:1 the unit rate is 154:6 or 24:1 so the answers are 8:1 and 24

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2 years ago

Solve the equation. Round the answer to the nearest tenth. 5*6^3n=20