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lukranit [14]
2 years ago
15

Rachel is 1.5 times as heavy as her cousin, Kayla

Mathematics
1 answer:
kkurt [141]2 years ago
3 0
Is there more info to this?
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Consider the following hypothesis test: H0: μ1 - μ2 = 0 Ha: μ1 - μ2 ≠ 0 There are two independent samples taken from the two pop
nlexa [21]

Answer:

The value of the test statistic is z = 1.78

Step-by-step explanation:

Before finding the test statistic, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Sample 1:

\mu_1 = 110, s_1 = \frac{7.2}{\sqrt{81}} = 0.8

Sample 2:

\mu_2 = 108, s_2 = \frac{6.3}{\sqrt{64}} = 0.7875

The test statistic is:

z = \frac{X - \mu}{s}

In which X is the sample mean, \mu is the value tested at the null hypothesis, and s is the standard error.

0 is tested at the null hypothesis:

This means that \mu = 0

Distribution of the difference:

X = \mu_1 - \mu_2 = 110 - 108 = 2

s = \sqrt{s_1^2+s_2^2} = \sqrt{0.8^2+0.7875^2} = 1.1226

What is the value of the test statistic?

z = \frac{X - \mu}{s}

z = \frac{2 - 0}{1.1226}

z = 1.78

The value of the test statistic is z = 1.78

5 0
3 years ago
Yani buys a certain brand of cereal that costs $10 per box. Yani changes to a super-saving brand of the same size. The equation
Hoochie [10]
Go to calculator pro it tells you everything by just taking a picture.
7 0
3 years ago
Read 2 more answers
1) Create a box plot comparing the score of the boyd and girls as best you can
Umnica [9.8K]

Answer:

dk man

Step-by-step explanation:

3 0
2 years ago
In a game, if you roll a 6 on a 6-sided number cube, you lose a turn.
Julli [10]
A) the probability is 1 in 6 (1/6); there are six numbers and only one is 6, therefore 1 in 6
B) the probability is 5 in 6 (5/6); there are 6 numbers and only one is not 6, therefore 5 in 6
C) the probability of rolling a 6 is 1 in 6 and the probability of not rolling a 6 is 5 in 6
D) the probability is again 1 in 6 (1/6); 120 divided by 6 is 20, and 20/120 simplifies to 1/6
thats the best i can do to explain
4 0
2 years ago
When you add 18 to 1/4 of a number, you get the number itself.
Lerok [7]
So if 18 plus 1/4 of the number is the number the means 18 is 3/4 of the number so 18 divided by 3 is 6 so 1/4 = 6 now add 6 to 18 to get 4/4 of the number which is 24 number = 24
8 0
3 years ago
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