What number does the calculator display represent?<br><br> MULTI CHOICE

An educator claims that the average salary of substitute teachers in school districts is less than $60 per day. A random sample

valentina_108 [34]

Answer:

$t=\frac{58.875-60}{\frac{5.083}{\sqrt{8}}}=-0.626$

The degrees of freedom are given by:

$df=n-1=8-1=7$

The p value would be given by:

$p_v =P(t_{(7)}$

Since the p value is higher than 0.1 we have enough evidence to FAIl to reject the null hypothesis and we can't conclude that the true mean is less than 60

Step-by-step explanation:

Information given

60, 56, 60, 55, 70, 55, 60, and 55.

We can calculate the mean and deviation with these formulas:

$\bar X= \frac{\sum_{i=1}^n X_i}{n}$

$s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

Replacing we got:

$\bar X=58.875$ represent the mean

$s=5.083$ represent the sample standard deviation for the sample

$n=8$ sample size

$\mu_o =60$ represent the value that we want to test

$\alpha=0.1$ represent the significance level

t would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true mean is less than 60, the system of hypothesis would be:

Null hypothesis: $\mu \geq 60$

Alternative hypothesis: $\mu < 60$

The statistic would be given by:

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

Replacing the info we got:

$t=\frac{58.875-60}{\frac{5.083}{\sqrt{8}}}=-0.626$

The degrees of freedom are given by:

$df=n-1=8-1=7$

The p value would be given by:

$p_v =P(t_{(7)}$

Since the p value is higher than 0.1 we have enough evidence to FAIl to reject the null hypothesis and we can't conclude that the true mean is less than 60

3 0

3 years ago

No clue how to do this

andreev551 [17]

B is your awnser! sorry if im wrong my calc shows its without a - symbol

7 0

3 years ago

Eduardo has a recipe that uses 2/3 cup of flour for each batch. If he makes 4 batches, how many cups of flour will he need? How

34kurt

Answer:

4 batches: $2\frac{2}{3}$ cups

7 batches: $4\frac{2}{3}$ cups

Step-by-step explanation:

If he uses 2/3 cup of flour for <u>each</u> batch, then that is 2/3 four times, or 2/3 · 4.

$\frac{2}{3}$ × $\frac{4}{1}$

= $\frac{8}{3}$ = $2\frac{2}{3}$

If he makes three more, than that will be 7 batches in total. We can multiply 2/3 by 3 to find out how much will be needed for those extra three, then add that product to $2\frac{2}{3}$ .

$\frac{2}{3}$ × $\frac{3}{1}$

= $\frac{6}{3}$ = 2

$2\frac{2}{3} +2$ = $4\frac{2}{3}$

Thus, $2\frac{2}{3}$ and $4\frac{2}{3}$ are the answers.

hope this helps!

8 0

2 years ago

A machine shop produces heavy duty high endurance 20-inch rods that are meant for use in a variety of military grade equipment.

QveST [7]

Answer:

The probability that a defective rod can be salvaged = 0.50

Step-by-step explanation:

Given that:

A machine shop produces heavy duty high endurance 20-inch rods

On occasion, the machine malfunctions and produces a groove or a chisel cut mark somewhere on the rod.

If such defective rods can be cut so that there is at least 15 consecutive inches without a groove.

Then; The defective rod can be salvaged if the groove lies on the rod between 0 and 5 inches i.e ( 20 - 15 )inches

Now:

P(X ≤ 5) = $\dfrac{5}{20}$

= 0.25

P(X ≥ 15) = $\dfrac{5}{20}$

= 0.25

The probability that a defective rod can be salvaged = P(X ≤ 5) + P(X ≥ 15)

= 0.25+0.25

= 0.50

∴ The probability that a defective rod can be salvaged = 0.50

4 0

3 years ago

Write a two column proof

atroni [7]

Answer:

Step-by-step explanation:

Given:

TU ≅ WU

∠T ≅ ∠W

To Prove:

$\overline{TS} \cong \overline{WV}$

Proof:

In Δ TUS and Δ WUV

STATEMENT REASON

1. TU ≅ WU 1. Given

2. ∠T ≅ ∠W 2. Given

3.∠TUS ≅ ∠WUV 3. Vertically Opposite Angles are equal

4. ΔTUS ≅ ΔWUV 4. Angle-Side-Angle congruence test.

5. ∴ TS ≅ WV 5. Corresponding parts of congruent triangles.

$\overline{TS} \cong \overline{WV}$ .......Proved

3 0

3 years ago

What number does the calculator display represent? MULTI CHOICE