Use the formula to evaluate the infinite series. Round to the nearest hundredth if necessary.
2 answers:
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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.
Answer:
<em>x</em><em> </em><em>=</em><em> </em><em>3</em>
Step-by-step explanation:
First open the brackets. While opening brackets, you've to be careful about signs. So when you open bracket of <em>(</em><em>1</em><em>5</em><em>-</em><em>x</em><em>)</em>, there's <em>negative</em> sign in front of it, so it makes the signs inside the brackets to change. Then you solve the it.
