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mel-nik [20]
2 years ago
14

Four DVDs cost $84. If each DVD costs the same, how much does one DVD cost

Mathematics
1 answer:
nignag [31]2 years ago
4 0

Answer:

one dvd costs $21

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You work in the HR department at a large franchise. you want to test whether you have set your employee monthly allowances corre
ra1l [238]

Answer:

1) Null hypothesis:\mu \leq 500  

Alternative hypothesis:\mu > 500  

z=\frac{640-500}{\frac{150}{\sqrt{40}}}=5.90  

For this case since we are conducting a right tailed test we need to find a critical value in the normal standard distribution who accumulates 0.01 of the area in the right and we got:

z_{crit}= 2.33

For this case we see that the calculated value is higher than the critical value

Since the calculated value is higher than the critical value we have enugh evidence to reject the null hypothesis at 1% of significance level

2) Since is a right tailed test the p value would be:  

p_v =P(z>5.90)=1.82x10^{-9}  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, same conclusion for part 1

Step-by-step explanation:

Part 1

Data given

\bar X=640 represent the sample mean

\sigma=150 represent the population standard deviation

n=40 sample size  

\mu_o =500 represent the value that we want to test  

\alpha=0.01 represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

Step1:State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean is higher than 500, the system of hypothesis would be:  

Null hypothesis:\mu \leq 500  

Alternative hypothesis:\mu > 500  

Step 2: Calculate the statistic

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

We can replace in formula (1) the info given like this:  

z=\frac{640-500}{\frac{150}{\sqrt{40}}}=5.90  

Step 3: Calculate the critical value

For this case since we are conducting a right tailed test we need to find a critical value in the normal standard distribution who accumulates 0.01 of the area in the right and we got:

z_{crit}= 2.33

Step 4: Compare the statistic with the critical value

For this case we see that the calculated value is higher than the critical value

Step 5: Decision

Since the calculated value is higher than the critical value we have enugh evidence to reject the null hypothesis at 1% of significance level

Part 2

P-value  

Since is a right tailed test the p value would be:  

p_v =P(z>5.90)=1.82x10^{-9}  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, same conclusion for part 1

7 0
3 years ago
Shannon wants to buy 4 coffee mugs for the lowest amount.a set of 4 mugs costs £12
Lelu [443]

i can help, but you need to write the whole question..

7 0
3 years ago
Kayla needs $14,000 worth of new equipment for his shop. He can borrow this money at a discount rate of 10% for a year.
arlik [135]

Answer:

$15400

Step-by-step explanation:

Principle amount, P = $14000

Time, T = 1 year

Rate of interest, R = 10%

We know that maturity amount,

A = P\left (1+\frac{R}{100} \right )^{n}

where n is number of years

A = P\left (1+\frac{R}{100} \right )^{n}

A = 14000\left (1+\frac{10}{100}\right )^{1}

A = 14000\left (1+\frac{1}{10}\right )

A = 14000\left (\frac{11}{10}\right )

A = 15400

The maturity amount is $15400

6 0
2 years ago
37% of women consider themselves fans of professional baseball. you randomly select six women and ask each if she considers hers
valina [46]

Answer:

(a) 2.22

(b) 1.3986

(c) 1.183

Step-by-step explanation:

Let <em>X</em> denote the number of women who consider themselves fans of professional baseball.

The proportion of women who consider themselves fans of professional baseball is, <em>p</em> = 0.37.

A random sample of <em>n</em> = 6 women are selected and each was asked if she considers herself a fan of professional baseball.

Each woman's reply is independent of the others.

The random variable <em>X</em> thus follows a binomial distribution with parameters <em>n</em> = 6 and <em>p</em> = 0.37.

(a)

Compute the mean of the binomial distribution as follows:

\text{Mean}=np=6\times 0.37=2.22

(b)

Compute the variance of the binomial distribution as follows:

\text{Variance}=np(1-p)=6\times 0.37\times (1-0.37)=1.3986

(c)

Compute the standard deviation of the binomial distribution as follows:

\text{Standard Deviation}=\sqrt{np(1-p)}=\sqrt{6\times 0.37\times (1-0.37)}=1.183

5 0
2 years ago
The value of the 4 in 34,258 and 47,163
Lera25 [3.4K]
The value of 4 in 34,258 is 10 times the value of the 4 in 47,163.
7 0
3 years ago
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