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Alik [6]
3 years ago
13

At Central Theatre, the cost of a matinee movie is under $5.50. The cost of a

Mathematics
1 answer:
ioda3 years ago
4 0

Answer:

5.50 + 2.25 ≥ c

Step-by-step explanation

Movie = 5.50

Popcorn = 2.25

C = The total cost

5.50 + 2.25 = C

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A Cell Phone company sells cellular phones and airtime in a State. At a recent meeting, the marketing manager states that the av
GarryVolchara [31]

Answer:

The null hypothesis is rejected.

There is enough evidence to support the claim that the average age of the customers differs from 40 years.

The sample does not support the manager claim (the average age seems to differ from 40 years).

Step-by-step explanation:

This is a hypothesis test for the population mean.

The manager claims that the average age of customers is 40 years. As this is an equality, we will test if the average age differs from 40. If the null hypothesis failed to be rejected, the claim of the manager is right.

Then, the claim is that the average age of the customers differs from 40 years.

Then, the null and alternative hypothesis are:

H_0: \mu=40\\\\H_a:\mu\neq 40

The significance level is 0.05.

The sample has a size n=50.

The sample mean is M=38.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=7.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{7}{\sqrt{50}}=0.99

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{38-40}{0.99}=\dfrac{-2}{0.99}=-2.02

The degrees of freedom for this sample size are:

df=n-1=50-1=49

This test is a two-tailed test, with 49 degrees of freedom and t=-2.02, so the P-value for this test is calculated as (using a t-table):

P-value=2\cdot P(t

As the P-value (0.049) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the average age of the customers differs from 40 years.

3 0
3 years ago
Rewrite 1 11/25 and 3 3/8 as a square or cube.<br><br> PLEASE PLEASE PLEASE HALLLLLPP, looool
GrogVix [38]

1 11/25

= 36/25 = (6/5)^2

and  

3 3/8

= 27/8 = (3/2)^3

5 0
3 years ago
Ursula picks carrots and radishes from her garden. She picks
densk [106]
2 1/2 more pounds of carrots.
7 0
3 years ago
7,000,000 + 600,000 + 70,000 + 2,000 + 500 + 30 + 1 in standard form?
nlexa [21]
7,672,531 is the answer
4 0
3 years ago
Read 2 more answers
a study timed left-handed and right-handed people to see how long it took them to hit a buzzer. the data is shown below: the six
Effectus [21]

The z or t score to be used is  (0.422,0.978)

How to find the critical value ?

Critical probability (p*) = 1 - (Alpha / 2), where Alpha is equal to 1 - (the confidence level / 100), is the unit statisticians use to determine the margin of error within a set of data in statistics.

The critical value for α = 0.13 is z_{c} = \frac{z_{1} - \alpha }{2}

The corresponding confidence interval is computed as shown below

CI = (X1_{1}  - X_{2}- z_{c} \sqrt{\frac{a_{1}^{2}}{n_{1} } + \frac{a_{2}^{2}}{n_{2} }}  ,  X1_{1}  - X_{2}+z_{c} \sqrt{\frac{a_{1}^{2}}{n_{1} } + \frac{a_{2}^{2}}{n_{2} }}  )

CI = (2.1 - 1.4- 1.514\sqrt{\frac{1^{2}}{37 } + \frac{0.5_{2}^{2}}{38 }}  ,  2.1  - 1.4 + 1.514 \sqrt{\frac{1^{2}}{37 } + \frac{0.5^{2}}{38 }}  )

CI = (0.422, 0.978)

0.422< mu1 - mu 2 < 0.978

To learn more about finding the critical value from the given link  

brainly.com/question/14040224

#SPJ4

8 0
1 year ago
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