I need help. Graph -4x + 4y = 1
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Answer:
We conclude that a compact microwave oven consumes a mean of more than 250 W.
Step-by-step explanation:
We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W with a population standard deviation of 15 W.
They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.
Let = <u><em>mean power consumption for microwave ovens.</em></u>
So, Null Hypothesis, :
250 W {means that a compact microwave oven consumes a mean of no more than 250 W}
Alternate Hypothesis, :
> 250 W {means that a compact microwave oven consumes a mean of more than 250 W}
The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;
T.S. = ~ N(0,1)
where, = sample mean power consumption for ovens = 257.3 W
σ = population standard deviation = 15 W
n = sample of microwave ovens = 20
So, <em><u>the test statistics</u></em> =
= 2.176
The value of z test statistics is 2.176.
<u>Now, at 0.05 significance level the z table gives critical value of 1.645 for right-tailed test.</u>
Since our test statistic is more than the critical value of t as 2.176 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis</u>.
Therefore, we conclude that a compact microwave oven consumes a mean of more than 250 W.
Extraemos los datos del problema:
- Capital Inicial → C₀ = S/.25000
- Interés bimestral → i = 8 % = 0.08
- Periodos → n = 3
Capital Inicial Bimestre → C = S/.25000
Tasa de interés bimestral:
I = C×i
I = S/.25000 × 0.08
I = S/.2000
Monto final:
M = C + I
M = S/.25000 + S/.2000
M = S/.27000
Variación Porcentual:
% = (M - C₀) / C₀
% = ( 27000 - 25000) / 25000
% = 8
<h2>Bimestre 2:</h2>Capital Inicial Bimestre → C = S/.27000
Tasa de interés bimestral:
I = C×i
I = S/.27000 × 0.08
I = S/.2160
Monto final:
M = C + I
M = S/.27000 + S/.2160
M = S/.29160
Variación Porcentual:
% = (M - C₀) / C₀
% = ( 29160 - 25000) / 25000
% = 16.64
<h2>Bimestre 3:</h2>Capital Inicial Bimestre → C = S/.29160
Tasa de interés bimestral:
I = C×i
I = S/.29160 × 0.08
I = S/.2332.8
Monto final:
M = C + I
M = S/.29160 + S/.2332.8
M = S/ 31492.8
Variación Porcentual:
% = (M - C₀) / C₀
% = ( 31492.8 - 25000) / 25000
% = 25.97
