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2 answers:
Answer:
Step-by-step explanation:
If we take the 520 signatures Jeremiah already has, and add six times the number of signatures he needs each week, we know he'll end up with the 1,000 signatures he needs. Therefore, the second choice matches our word model:
If Jeremiah needs to collect 1,000 signatures and he currently has 520, he needs to collect 480 more [1,000 – 520 = 480]. If he has six weeks to do it, he needs to collect 80 signatures each week [480 ÷ 6 = 80].
Mathematically, we know
is correct because if you take the 80 signatures each week and substitute it for <em>x</em> in the model, the equation is true:
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Answer:
Step-by-step explanation:
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Answer:
The null and alternative hypothesis for this study are:
The null hypothesis is rejected (P-value=0.004).
There is enough evidence to support the claim that the average cost of tuition plus room and board at small private liberal arts colleges is less than $18,500 per term.
Step-by-step explanation:
This is a hypothesis test for the population mean.
The claim is that the average cost of tuition plus room and board at small private liberal arts colleges is less than $18,500 per term.
Then, the null and alternative hypothesis are:
The significance level is 0.05.
The sample has a size n=150.
The sample mean is M=18200.
The standard deviation of the population is known and has a value of σ=1400.
We can calculate the standard error as:
Then, we can calculate the z-statistic as:
This test is a left-tailed test, so the P-value for this test is calculated as:
As the P-value (0.004) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the average cost of tuition plus room and board at small private liberal arts colleges is less than $18,500 per term.