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staxeeyy767
28.11.2019 •
Mathematics
Aaverage amount of money on deposit in a savings account is $7500. suppose a random sample of 49 accounts shows the average in their bank to be $6850 with a population s.d. $1200. construct a hypothesis test to determine whether the average amount on deposit per account is different from $7500. use a 1% level of significance. use the p value approach.
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Ответ:
z=-3.79
Step-by-step explanation:
1) Data given and notation
z would represent the statistic (variable of interest)
2) State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the mean for the amount of money on deposit in savings account differs from 7500, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:
z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
3) Calculate the statistic
We can replace in formula (1) the info given like this:
4)P-value
Since is a two-sided test the p value would be:
5) Conclusion
If we compare the p value and the significance level given
we see that
so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the average amount of money deposit in savings account its significantly different from 7500 tons at 1% of signficance.
Ответ:
80 teenagers
Step-by-step explanation:
40 / 50% is the same as 40 / 0.5
40 / 0.5 = 80