Add the Following Fractions:

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

Nick walked 1 mile in nine minutes there are 5280 feet in a mile about how many feet did he walk a minute

Elodia [21]

Hello!

All you have to do it divide 5280 ft by 9 min to find ft/min:

5280 / 9 = 506.67 ft/min

I hope this helps :))

3 0

3 years ago

Read 2 more answers

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 3 to 5. If there were 7

Zinaida [17]

Answer:

2967 yes votes

Step-by-step explanation:

Welcome to Brainly!

One way of doing this problem follows:

Find the ratio, r, mentioned in the problem statement. To do this,

write the equation 3r + 5r = 7912 and solve this for r:

8r = 7912, so that r = 989.

Then the number of yes votes was 3(989), or 2967, and the number of no votes was 5(989), or 4947.

check: Does the ratio 2967/4947 equal 3/5? yes.

There were 2967 yes votes.

8 0

3 years ago

Abdul drove 320 miles using 12 gallons of gas. At this rate, how many gallons of gas would he need to drive 296 miles?

kakasveta [241]

He would need 11.1 gallons of gas if he was/would drive 296 miles.

12 divided by 320 = .0375

.0375 x 296 = 11.1 Gallons of Gas needed to drive the distance.

8 0

3 years ago

Read 2 more answers

PLEASE HELP IM BEING TIMED

Zigmanuir [339]

Step-by-step explanation:

You have miscopied the second equation as it contains a third variable B when there isn't a B in the answers.

Please correct it for assistance

7 0

3 years ago