Explain how you can determine that 3,500 divided by 70 equal 500

Dylan Rieder is a statistics student investigating whether athletes have better balance than non-athletes for a thesis project.

Kobotan [32]

Answer:

$t=\frac{(3.7-4.1)-0}{\sqrt{\frac{1.1^2}{32}+\frac{1.3^2}{45}}}}=-1.457$

$p_v =P(t_{75}$

Comparing the p value with a significance level for example $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can't say that the population mean for the athletes is significantly lower than the population mean for non athletes.

Step-by-step explanation:

Data given and notation

$\bar X_{A}=3.7$ represent the mean for athletes

$\bar X_{NA}=4.1$ represent the mean for non athletes

$s_{A}=1.1$ represent the sample standard deviation for athletes

$s_{NA}=1.3$ represent the sample standard deviation for non athletes

$n_{A}=32$ sample size for the group 2

$n_{NA}=45$ sample size for the group 2

$\alpha=0.01$ Significance level provided

t would represent the statistic (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the population mean for athletes is lower than the population mean for non athletes, the system of hypothesis would be:

Null hypothesis: $\mu_{A}-\mu_{NA}\geq 0$

Alternative hypothesis: $\mu_{A} - \mu_{NA}< 0$

We don't have the population standard deviation's, we can apply a t test to compare means, and the statistic is given by:

$t=\frac{(\bar X_{A}-\bar X_{NA})-\Delta}{\sqrt{\frac{s^2_{A}}{n_{A}}+\frac{s^2_{NA}}{n_{NA}}}}$ (1)

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

With the info given we can replace in formula (1) like this:

$t=\frac{(3.7-4.1)-0}{\sqrt{\frac{1.1^2}{32}+\frac{1.3^2}{45}}}}=-1.457$

P value

We need to find first the degrees of freedom given by:

$df=n_A +n_{NA}-2=32+45-2=75$

Since is a one left tailed test the p value would be:

$p_v =P(t_{75}$

Comparing the p value with a significance level for example $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can't say that the population mean for the athletes is significantly lower than the population mean for non athletes.

5 0

3 years ago

Pls help will mark brainliest

tatuchka [14]

Answer: subtract 10

Step-by-step explanation: 25 - 10 =15

5 0

3 years ago

PLS HELP I WILL GIVE BRAINLIEST PLS

Serhud [2]

Answer:

B.

Step-by-step explanation:

x represents the amount of guests going to the birthday party, with the amount of money per guest being 12. You would multiply those two together, but as we do not know the total amount of guests, we keep it as a variable. 125 is the amount before the guests even know about the party, so therefore, you would need to use that equation.

6 0

3 years ago

A standard deck of 52 cards contains 4 suits: hearts, clubs, diamonds, and spades. Each suit contains cards numbered 2 through 1

Vesnalui [34]

Answer:

2 / 13

Step-by-step explanation:

Number of cards in a standard deck = 52

Number of 4's = 4 ( 1 for each suit)

Number of 6's = 4 (1 for each suit)

Probability, P = required outcome / Total possible outcomes

P(a 4) = 4 / 52 = 1/ 13

P(a 6) = 4 /52 = 1/13

Probability of either a 4 or a 6

P(a 4) + P(a 6)

1/13 + 1/13

= 2 / 13

3 0

3 years ago

Can someone help me plz

Anton [14]

Answer:

The division was completed in the wrong order

Step-by-step explanation:

To convert $\frac{5}{8}$ to a percent

The numerator is divided by the denominator, that is

0.625

8 | 5.0

Multiply 0.625 × 100% = 62.5%

5 0

3 years ago