The Cozy Car Company created a new model of car especially for Japan and Vietnam, which they start shipping to both countries at
the same time.The company had shipped 222 of that model of car to Japan by the end of the first month, and the cumulative total of cars they've shipped triples each month.The company had shipped 555 of that model of car to Vietnam by the end of the first month, and the cumulative total of cars they've shipped increases by 111111 cars each month.In which month will the cumulative number of cars of that model shipped to Japan first exceed the cumulative total shipped to Vietnam?
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Answer:
At the 0.10 level of significance the z table gives critical values of -1.645 and 1.645 for two-tailed test.
Step-by-step explanation:
We are given that the mean gross annual incomes of certified welders are normally distributed with the mean of $20,000 and a standard deviation of $2,000.
The ship building association wishes to find out whether their welders earn more or less than $20,000 annually.
<u><em>Let </em></u><u><em> = mean gross annual incomes of certified welders</em></u>
So, Null Hypothesis, :
= $20,000
Alternate hypothesis, :
$20,000
Here, null hypothesis states that the mean income of welders is equal to $20,000.
On the other hand, alternate hypothesis states that the mean income of welders is not $20,000.
Also, the test statistics that would be used here is <u>One-sample z test</u> <u>statistics</u> as we know about the population standard deviation;
T.S. = ~ N(0,1)
where, = sample mean income
= population standard deviation = $2,000
n = sample size
Now, at the 0.10 level of significance the z table gives critical values of -1.645 and 1.645 for two-tailed test.