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3 years ago

Answer not submitted

1 answer:

5 0

The customer drawing a 30% discount card then the next customer 20% discount card has a probability of 5/40 for the 30% which = 12.5% and 20% is 15/40 which = 37.5% add them together then divide by 2 for a total of 25%.

The customer drawing a 10% card has a 20/40 which = 50% then a customer drawing a 20% card is 15/40 = 37.5% add them together then divide by 2 = 43.75%

The customer drawing a 10% card has a 20/40 which is 50%. Then another customer drawing another 10% is another 50% add them together and divide by 2 = 50%

The customer drawing a 20% card has a 5/40 which is 12.5% and another customer drawing a 20% card again is 12.5%. Add together and divide by 2 = 12.5%. So your answer is the 1st three.

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3 years ago

A recent article in The Wall Street Journal compared the cost of adopting children from China with that of Russia. For a sample

denpristay [2]

Answer:

We can conclude the mean cost is larger for adopting children from Russia.

Step-by-step explanation:

To answer this question we can perform an hypothesis testing on the differences of the means with the following null and alternative hypothesis:

$H_0: \mu_1\leq\mu_2\\\\H_1: \mu_1>\mu_2$

The significance level we assume is 0.05.

First we calculate the mean standard error:

$MSE=\frac{SSE}{df}=\frac{n_1\sigma_1^2+n_2\sigma_2^2}{(n_1-1)+(n_2-1)} =\frac{16*835^2+18*1545^2}{16-1+18-1} =1,691,314$

The harmonic mean of the sample sizes is:

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Then we can calculate the estimated standard deviation as:

$\sigma=\sqrt{\frac{2MSE}{n_h} } =\sqrt{\frac{2*1691314}{16.94} } =447$

The t-statistic can be calculated as:

$t=\frac{\Delta M-\Delta \mu}{\sigma}=\frac{(11045-12840)-0}{447} =\frac{-1795}{447}= -4.015$

The degrees of freedom are $df=n_1+n_2-2=18+16-2=32$ .

We can look up the P-value in a table or applet. For t=-4.015 and df=32, the P-value is 0.00017.

The P-value is smaller than the significance level, so the effect is significant and the null hyphotesis (China cost is equal or less than in Russia) is rejected.

We can conclude the mean cost is larger for adopting children from Russia.

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3 years ago