If I get 10 coins every five seconds and I have 56,150 coins. How long have I spent collecting coins?

In Hamilton County, Ohio the mean number of days needed to sell a home is days (Cincinnati Multiple Listing Service, April, 2012

Diano4ka-milaya [45]

Answer:

$t=\frac{80-86}{\frac{20}{\sqrt{40}}}=-1.8974$

$p_v =2*P(t_{39}$

If we compare the p value with a significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we FAIL to reject the null hypothesis, so there is not enough evidence to conclude that the mean for the data is significantly different from 86 days.

Step-by-step explanation:

Assuming the following problem: "In Hamilton County, Ohio the mean number of days needed to sell a home is 86 days (Cincinnati Multiple Listing Service, April, 2012). Data for the sale 40 of homes in a nearby county showed a sample mean of 80 days with a sample standard deviation of 20 days. Conduct a hypotheses test to determine whether the mean number of days until a home is sold is different than the Hamilton county mean of 86 days in the nearby county. "

1) Data given and notation

$\bar X=80$ represent the sample mean

$s=20$ represent the sample standard deviation

$n=40$ sample size

$\mu_o =86$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

2) State the null and alternative hypotheses.

We need to conduct a hypothesis in order to determine if the mean is different from 86, the system of hypothesis would be:

Null hypothesis: $\mu = 86$

Alternative hypothesis: $\mu \neq 86$

We don't know the population deviation, so for this case we can use the t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

3) Calculate the statistic

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

$t=\frac{80-86}{\frac{20}{\sqrt{40}}}=-1.8974$

4) Calculate the P-value

First we need to find the degrees of freedom given by:

$df=n-1=40-1=39$

Since is a two tailed test the p value would be:

$p_v =2*P(t_{39}$

In Excel we can use the following formula to find the p value "=2*T.DIST(-1.8974,39,TRUE)"

5) Conclusion

If we compare the p value with a significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we FAIL to reject the null hypothesis, so there is not enough evidence to conclude that the mean for the data is significantly different from 86 days.

7 0

3 years ago

Is it possible for a system of linear equations to have no solutions ?

sveta [45]

Yes it is possible,they never intersect, so there is no point that lies on both lines, and no solution to the system

8 0

3 years ago

Read 2 more answers

Which fractions are equivalent to 10/12? Select each correct answer. 2/3 5/6 12/24 30/36 50/60 60/84

Yuri [45]

Answer:

[See Below]

Step-by-step explanation:

✦ Turn into decimals:

$\frac{10}{12}=0.83$

$\frac{2}{3} =0.67$

$\frac{5}{6} =0.83$

$\frac{12}{24} =0.5$

$\frac{30}{36} =0.83$

$\frac{50}{60} =0.83$

$\frac{60}{84} =0.71$

So $\frac{10}{12}$ ≈ $\frac{5}{6},\frac{30}{36},and,\frac{50}{60}$ .

~Hope this helps Mate. If you need anything feel free to message me.

4 0

3 years ago

Suppose that g(x) varies inversely with (x) and g(x) = 0.2 when x=0.1. What is g(x) when x=1.6?

mestny [16]

Since g(x) varies with x, therefore:
g(x) = k/x where k is a constant.

So, first we need to get k. We are given that g(x) = 0.2 when x = 0.1
Substitute with these values to get k as follows:
g(x) = k/x
0.2 = k/0.1
k = 0.2*0.1 = 0.02

Now, the equation became:
g(x) = 0.02 / x

We need to get the g(x) when x = 1.6
Therefore, we will substitute with x in the equation and calculate the corresponding g as follows:
g(x) = 0.02 / 1.6
g(x) = 0.0125

6 0

3 years ago

Read 2 more answers

elijah earned $73 for 6 hours. what was his hourly wage? choose the correct one-step equation to represent this situation.

agasfer [191]

Answer:

73/6= h

His hourly wage was about $12.17

5 0

3 years ago