Suppose the juice boxes go on sale for $1.79 for the eight 4.23-ounce

Kate is 3 years old. Her brother, Scott is 10 years old. A. What is the ratio of Scott's age to Kate's age. B. How many times ol

Dafna1 [17]

Answer:Scott is over 3 times older that Kate

Step-by-step explanation:

Kate is 3 years old. Her brother, Scott is 10 years old.

A) The ratio of Scott's age to Kate's age would be Scott's age divided by Kate's age. It becomes

10/3

B) To determine how many times older than Kate is Scott, we would express the ratio of their ages in decimal. Therefore

10/3 = 3.33

Therefore, Scott is over 3 times older that Kate

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2 years ago

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A random sample of 9 wheels of cheese yielded the following weights in pounds has a sample mean of 20.90 and a sample variance o

Ronch [10]

Answer:

$2.002 \leq \sigma^2 \leq 11.365$

Step-by-step explanation:

1) Data given and notation

s represent the sample standard deviation

$s^2$ represent the sample variance

n=9 the sample size

Confidence=90% or 0.90

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 mean or variance 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.

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

On this case we need to find the sample standard deviation with the following formula:

$s=sqrt{\frac{\sum_{i=1}^9 (x_i -\bar x)^2}{n-1}}
The sample variance given was [tex]s^2=3.45$

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

$df=n-1=9-1=8$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical values.