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Natasha_Volkova [10]
4 years ago
15

I'm really confused on how to do this problem :/

Mathematics
1 answer:
kumpel [21]4 years ago
5 0
I believe the answer is D
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3.201 in expanded form
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Here is your answe:

3.201= 3+ 0.200+ 0.001

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Liono4ka [1.6K]

Answer:

x is greater than or equal to 8.75 or 8 3/4

Step-by-step explanation:

So we first write the inequality 3 + 1.2c "is greater than or equal to sign" 13.5. Then we subtract 3, then divide both sides by 1.2 to isolate c. We get x "is greater than or equal to" 8.75.

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Is square root of 3 a
sergiy2304 [10]

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natural

Step-by-step explanation:

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The mean cost of a meal for two in a mid-range restaurant in Tokyo is $40 (Numbeo.com website, December 14, 2014). How do prices
NNADVOKAT [17]

Answer:

a) Me=2.02 \frac{6.827}{\sqrt{42}}=2.13

b) So on this case the 95% confidence interval would be given by (30.53;34.79)    

c) On this case the confidence interval not contains the price $40, so we can conclude that the prices for Hong Kong mid-range restaurants are significant less than the prices for mid range restaurants in Tokyo at 5 % of significance.

Step-by-step explanation:

1) 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.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

2) Part a

The margin of error is given by:

Me=t_{\alpha/2}\frac{s}{\sqrt{n}}

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

df=n-1=42-1=41

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,41)".And we see that t_{\alpha/2}=2.02

Me=2.02 \frac{6.827}{\sqrt{42}}=2.13

3) Part b

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 mean and the sample deviation we can use the following formulas:  

\bar X= \sum_{i=1}^n \frac{x_i}{n} (2)  

s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}} (3)  

The mean calculated for this case is \bar X=32.66

The sample deviation calculated s=6.827

Now we have everything in order to replace into formula (1):

32.66-2.02\frac{6.827}{\sqrt{42}}=30.532    

32.66+2.02\frac{6.827}{\sqrt{42}}=34.788

So on this case the 95% confidence interval would be given by (30.532;34.788)    

4) Part d

On this case the confidence interval not contains the price $40, so we can conclude that the prices for Hong Kong mid-range restaurants are significant less than the prices in mid range restaurants in Tokyo at 5 % of significance.

8 0
3 years ago
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