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maks197457 [2]
3 years ago
12

The contents of a sample of 26 cans of apple juice showed a standard deviation of 0.06 ounces. We are interested in testing to d

etermine whether the variance of the population is significantly more than 0.003. What is the alternative hypothesis?
Mathematics
1 answer:
atroni [7]3 years ago
6 0

Answer: H_a: \sigma^2>0.003

Step-by-step explanation:

Given : The contents of a sample of 26 cans of apple juice showed a standard deviation of 0.06 ounces.

To test : The variance of the population is significantly more than 0.003.

We know that the alternative hypothesis can have > , < or ≠.

And The null hypothesis contains  ≤  , ≥ or = .

Since the the interest of testing has strictly more than sign.

Then the alternative hypothesis for this test will be :-

H_a: \sigma^2>0.003

You might be interested in
A store owner bought a painting for $120. She is selling it for $190. What is the percent markup on the painting
stiks02 [169]

Answer:

The markup percent on the painting is 58.3%

Step-by-step explanation:

Here, The Cost price of the painting = $120

The selling price of the painting = $190

Hence, the total profit on the painting = Cost Price - Selling price

or Profit =  $190  - $120 = $70

Now, Markup % =  (Gross Profit / cost)  x 100

⇒Markup % = \frac{70}{120}  \times 100 = 58.3

Hence, the markup percent on the painting is 58.3%

7 0
3 years ago
The Insure.com website reports that the mean annual premium for automobile insurance in the United States was $1,503 in March 20
stira [4]

Answer:

a) Option A)

H_{0}: \mu \geq 1503\\H_A: \mu < 1503

b) Point estimate of difference = -78

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $1,503

Sample mean, \bar{x} = $1,425

Sample size, n = 25

Sample standard deviation, s = $160

We have to carry a hypothesis test that the mean annual premium in Pennsylvania is lower than the national mean annual premium.

a) First, we design the null and the alternate hypothesis

H_{0}: \mu \geq 1503\text{ dollars}\\H_A: \mu < 1503\text{ dollars}

b) Point estimate  of the difference between the mean annual premium in Pennsylvania and the national mean

Point estimate of difference =

Mean annual premium in Pennsylvania - National mean

\text{Point estimate} = \bar{x} - \mu = 1425 - 1503 = -78

Thus,

Point estimate of difference = -78

5 0
3 years ago
Worth 50 points!!! The equation A = r(<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7BC%7D%7B2%7D%20" id="TexFormula1" title=" \f
jasenka [17]
Times both sides by 2
2A=rC
divide both sides by r
C= \frac{2A}{r}
4 0
3 years ago
Let f (x) = 3x − 1 and ε &gt; 0. Find a δ &gt; 0 such that 0 &lt; ∣x − 5∣ &lt; δ implies ∣f (x) − 14∣ &lt; ε. (Find the largest
s344n2d4d5 [400]

Answer:

This proves that f is continous at x=5.

Step-by-step explanation:

Taking f(x) = 3x-1 and \varepsilon>0, we want to find a \delta such that |f(x)-14|

At first, we will assume that this delta exists and we will try to figure out its value.

Suppose that |x-5|. Then

|f(x)-14| = |3x-1-14| = |3x-15|=|3(x-5)| = 3|x-5|< 3\delta.

Then, if |x-5|, then |f(x)-14|. So, in this case, if 3\delta \leq \varepsilon we get that |f(x)-14|. The maximum value of delta is \frac{\varepsilon}{3}.

By definition, this procedure proves that \lim_{x\to 5}f(x) = 14. Note that f(5)=14, so this proves that f is continous at x=5.

3 0
3 years ago
Maria spent 15 days traveling in South America how many hours did she’s been traveling in South America
exis [7]

Answer:

360 hours

Step-by-step explanation:

When trying to find the number of hours out of the number of days someone has been doing something, assuming that she spent all 15 days traveling with no rest, you just multiply however many days (In this case, 15 days) by 24 hours.

This gives us the equation 15 times 24, which then equals 360.

A way I check these is that I divide however many hours I got by 24 and make sure it equals our first number.

We get the equation 360 divided by 24, which does, in fact, equal 15.

3 0
3 years ago
Read 2 more answers
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