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gulaghasi [49]
3 years ago
15

A random sample of 10 subjects have weights with a standard deviation of 9 8753 kg What is the variance of their weights? Be sur

e to include the appropriate units with the result.​
Mathematics
1 answer:
hammer [34]3 years ago
8 0

Answer: The variance of their weights = 9,752,155,009 kg.

Step-by-step explanation:

  • The variance is the square of the standard deviation . it measures the spread between data values in a data set.

So if standard deviation of 10 subjects = 98753 kg

Then, variance = (9 8753 )^2\ kg=9,752,155,009\ kg

Hence, the variance of their weights = 9,752,155,009 kg.

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Step-by-step explanation:

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Arada [10]

Answer: 11.4

Step-by-step explanation:

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3 years ago
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A Cell Phone company sells cellular phones and airtime in a State. At a recent meeting, the marketing manager states that the av
GarryVolchara [31]

Answer:

The null hypothesis is rejected.

There is enough evidence to support the claim that the average age of the customers differs from 40 years.

The sample does not support the manager claim (the average age seems to differ from 40 years).

Step-by-step explanation:

This is a hypothesis test for the population mean.

The manager claims that the average age of customers is 40 years. As this is an equality, we will test if the average age differs from 40. If the null hypothesis failed to be rejected, the claim of the manager is right.

Then, the claim is that the average age of the customers differs from 40 years.

Then, the null and alternative hypothesis are:

H_0: \mu=40\\\\H_a:\mu\neq 40

The significance level is 0.05.

The sample has a size n=50.

The sample mean is M=38.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=7.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{7}{\sqrt{50}}=0.99

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{38-40}{0.99}=\dfrac{-2}{0.99}=-2.02

The degrees of freedom for this sample size are:

df=n-1=50-1=49

This test is a two-tailed test, with 49 degrees of freedom and t=-2.02, so the P-value for this test is calculated as (using a t-table):

P-value=2\cdot P(t

As the P-value (0.049) 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 age of the customers differs from 40 years.

3 0
3 years ago
He needs to purchase some work clothes and notices that J.C. Penney is having a 25% off of your total purchase sale. He decides
SVETLANKA909090 [29]
First, lets determine the regular price of his purchase :

16.99 (3) + 34.99 (3) + 52.99 (2) + 5.99 (5) = 50.97 + 104.97 + 105.98 + 29.95 = 291.87

Therefore, the regular price of his purchase is $291.87 before sales tax.

If he receives 25% off of his total purchase, then the price is now :

291.87 * .75 = $218.90

We multiply by 75% because we are only paying 75% of the total purchase price since we received a 25% discount.

The total savings is 

291.87 - 218.90 = $72.97

If sales tax is 10%, the total purchase price after sales tax is :

218.90 * 1.10 = $240.79

The sales tax is $21.89 since

240.79 -218.90 = 21.89

If he pays with 3 $100 bills, we should receive :

300 - 240.79 = $59.21 

in change.
5 0
3 years ago
Anthony deposited $14,000 with a bank in a 5-year certificate of deposit yielding 6% compounded daily. Find the compound amount
Mnenie [13.5K]

Answer:

Total = 14,000 * 1 + (.06 / 365) ^365*5

Total = 14,000 * 1.0.000164383561643836^1,825

Total = 14,000 * 1.3498255274

Total = 18,897.56

Step-by-step explanation:

8 0
3 years ago
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