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醉清风 · 2020年01月08日

问一道题:NO.PZ2015120604000137

问题如下:

Ida Lee and his team collect a lot of analysis of statistical data about the car market .According to the data, they come to the conclusion that the mean price of SUV is more than $46,435 in his country. Then they randomly select 64 SUVs whose mean price is $46,760. Assuming the standard deviation of the sample is 1370. Ida Lee conducts a hypothesis test to check their conclusion. At which significant level should Ida Lee reject the null hypothesis?

选项:

A.

0.5%.

B.

5%.

C.

1%.

解释:

B is correct.

If the significant level is 5%, the critical value=1.669<1.8978, Ida Lee should reject the null.

If the significant level is 0.5%, the critical value=2.656>1.8978, Ida Lee will fail to reject the null.

If the significant level is 1%, the critical value=2.387>1.8978, Ida Lee will fail to reject the null.


这道题我的思路,是先算出t critical value=(46760-46435)/(1370/8)=1.8978,单尾,根据significant level 给出三个数字0.5%对应2.58临界值,5%对应临界值1.65,1%对应临界值在1.96-2.58之间估计;而之前算出t critical value1.8978应该在临界值右边才会拒绝原假设,所以选对应5%??

1 个答案

星星_品职助教 · 2020年01月08日

同学你好,

思路基本没问题。有个用词需要修正。计算出来的是“t-statistics”=1.8978。然后用这个值和三个临界值逐个对比就可以了,大于临界值就拒绝原假设。此后思路和你的就一样了,由于这道题只有5%的情况下才大于临界值。所以选5%。

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