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erica [24]
3 years ago
9

427 children visit a castle.They go in groups of 15.One group has less than 15.Every group has one adult with them. How many adu

lts will need to go.
Mathematics
2 answers:
Blizzard [7]3 years ago
6 0
29 adults will need to go
since they go in groups of 15 divide 427 by 15 and you will get 28.47 or 28.466666666666 repeating.
since every group will require one adult there will be 29 adults because the remaining decimal is still a group and will therefore need an adult in addition to the 28 full groups
polet [3.4K]3 years ago
3 0
----------------------------------------------
Find number of groups:
----------------------------------------------
429 ÷ 15 = 28.46

So we will divide the students into 29 groups.

----------------------------------------------
Find number of adults :
----------------------------------------------
Since each group needs one adult, 
⇒29 groups need 29 adults

----------------------------------------------
Answer: 29 adults need to go.
----------------------------------------------
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The 99% confidence interval would be given by (196.2;283.8)

We are 99% condident that the true mean is between 196.2 and 283.8  

We need to assume that the data comes from a random sample and we need to assume that the distribution of the data is normal.  

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Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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\bar X=240 represent the sample mean for the sample  

\mu population mean (variable of interest)

s=15 represent the sample standard deviation

n=4 represent the sample size  

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The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

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Since the Confidence is 0.99 or 99%, the value of \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,3)".And we see that t_{\alpha/2}=5.84

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