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Nezavi [6.7K]
3 years ago
11

Rachel measures the lengths of a random sample of 100 screws. The mean length was 2.6 inches, with a standard deviation of 1.0 i

nches. Using the alternative hypothesis (µ < µ0), Rachel found that a z-test statistic was equal to -1.25. What is the p-value of the test statistic? Answer choices are rounded to the thousandths place.
Mathematics
1 answer:
olga_2 [115]3 years ago
4 0

Answer:

Step-by-step explanation:

Using the alternative hypothesis (µ < µ0),

To find the p-value with test statistic -1.25 and assuming a standard level of significance of 0.05, using a p value calculator, the p-value is 0.1057 which is great that 0.05. Thus, the results is not significant.

Using the p value calculation.

1. Check the left tailed z table as the test statistic is negative,

2. Then find the probabilitythat z is greater than your test statistic (look up your test statistic on the z-table- the value under 1.2 and 0.05 which is 0.8944

3. Then, find its corresponding probability, and subtract it from 1 to get your p-value- 1-0.8944 = 0.1056.

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The students at Midtown Middle school sold flowers as a fundraiser in September and October. In October, they charged $1.50 for
Phoenix [80]
Let the price of flowers in September be x, then (100 + 20)/100 * x = $1.50
120/100 * x = $1.50
1.2x = $1.50
x = $1.50/1.2 = $1.25
The price of flowers in September is $1.25

Total money realised in September = $1.25 x 900 = $1,125
40% earned = 0.4 x $1,125 = $450

Total money realised in October = $1.50 x 700 = $1,050
40% earned = 0.4 x $1,050 = $420

The class earned more money in September and they earned $30 more than in October.


5 0
3 years ago
How do you solve these?
Murrr4er [49]

Answer:

Step-by-step explanation:

The first and only rule really is to factor these down to their primes and then apply a very simple rule

For every prime, take out 1 prime for every prime under the root sign that equals the index. The rest are thrown away.

That's very wordy. Let's try and see what it means with an example

Take sqrt(27) The index is 1/2 (square root) That means we need two threes in order to apply the rule.

sqrt(27) = sqrt(3 * 3 * 3 ) For every two primes take out 1 and throw one away.

sqrt(27) = 3 sqrt(3) You can't take out that 3rd 3.

64 = 2 * 2 *2 *2 *2 * 2

4th root 64 =  <u>2*2*2 </u><u>*2</u><u> </u>* 2 *2

for every 4th root, you get to take 1 out and throw three away.

4th root 64 = 2 fourth root (2*2)

4th root 64 = 2 fourth root (4)

- 189 = -  <u>3 * 3 * </u><u>3</u> * 7

cuberoot (- 189) = For every 3 roots, you get to pull 1 out and throw the other two away.

3 cube (- 7) is your answer.

72 = 2 * 2 * 2 * 3 * 3

cube root (72) = 2 cube root(9) You don't have enough threes to do any more than what is done.

6 0
2 years ago
(-2 1/3 + 5 1/5) + 1 1/3 =
Iteru [2.4K]

4Answer:

exact form:

\frac{21}{5\\}

decimal form:

4.2

mixed number form:

4\frac{1}{5}

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Use the guess-and-check method to solve this equation. 2x + 8 = 6x - 12 A. x = 6 B. x = 4 C. x = 3 D. x = 5
iragen [17]
Hi!

The guess and check method is where we fill in the values and check to see if it is correct. 

A. x = 6
2 · 6 + 8 = 6 · 6 - 12
Solve
12 + 8 = 36 - 12
20 = 24
Incorrect.

B. x = 4
2 · 4 + 8 = 6 · 4 - 12
Solve
8 + 8 = 24 - 12
16 = 12
Incorrect.

C. x = 3
2 · 3 + 8 = 6 · 3 - 12
Solve.
6 + 8 = 18 - 12
14 = 6
Incorrect.

D. x = 5
2 · 5 + 8 = 6 · 5 - 12
Solve.
10 + 8 = 30 - 12
18 = 18
Correct!

The answer is D. x = 5

Hope this helps! :)
-Peredhel
5 0
2 years ago
Read 2 more answers
Arsenic is a compound that occurs naturally in very low concentrations. Arsenic blood concentrations in healthy adults are Norma
DENIUS [597]

Answer:

0.7325 to 5.6675 ug/dl

Step-by-step explanation:

The middle 90% will be 45% above the mean and 45% below the mean.  This means

0.5-0.45 = 0.05 and

0.5+0.45 = 0.95

We use a z table.  Look in the cells; find the values as close to 0.05 and 0.95 as we can get.

For 0.05, we have 0.0505 and 0.0495; since these are equidistant from 0.05, we use the value between them.  0.0505 is z=-1.64 and 0.0495 is z=1.65; this gives us z=-1.645.

For 0.95, we have 0.9495 and 0.9505; since these are equidistant from 0.95, we use the value between them.  0.9495 is z = 1.64 and 0.9505 is z=1.65; this gives us z = 1.645.

Now we use our z score formula,

z=\frac{X-\mu}{\sigma}

Our two z scores are 1.645 and -1.645; our mean, μ, is 3.2; and our standard deviation, σ, is 1.5:

1.645=\frac{X-3.2}{1.5}

Multiply both sides by 1.5:

1.5(1.645)=\frac{X-3.2}{1.5}\times 1.5\\\\2.4675 = X-3.2

Add 3.2 to each side:

2.4675+3.2 = X-3.2+3.2

5.6675 = X

-1.645=\frac{X-3.2}{1.5}

Multiply both sides by 1.5:

1.5(-1.645)=\frac{X-3.2}{1.5}\times 1.5\\\\-2.4675=X-3.2

Add 3.2 to each side:

-2.4675+3.2 = X-3.2+3.2

0.7325 = X

Our range is from 0.7325 to 5.6675.

5 0
3 years ago
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