Find the perimeter of A ABC with vertices A(1,5),<br> B(1,2), and C (-4,5).<br> y

Based on an indication that mean daily car rental rates may be higher for Boston than for Dallas, a survey of eight car rental c

Elina [12.6K]

Answer:

$t=\frac{(47 -44)-(0)}{3\sqrt{\frac{1}{8}+\frac{1}{9}}}=2.058$

The degrees of freedom are:

$df=8+9-2=15$

And the p value would be:

$p_v =P(t_{15}>2.058) =0.0287$

Since we have a p value lower than the significance level given of 0.05 we can reject the null hypothesis and we can conclude that the true mean for car rental rates in Boston are signiﬁcantly higher than those in Dallas

Step-by-step explanation:

Data given

$n_1 =8$ represent the sample size for group Boston

$n_2 =9$ represent the sample size for group Dallas

$\bar X_1 =47$ represent the sample mean for the group Boston

$\bar X_2 =44$ represent the sample mean for the group Dallas

$s_1=3$ represent the sample standard deviation for group Boston

$s_2=3$ represent the sample standard deviation for group Dallas

We can assume that we have independent samples from two normal distributions with equal variances and that is:

$\sigma^2_1 =\sigma^2_2 =\sigma^2$

Let the subindex 1 for Boston and 2 for Dallas we want to check the following hypothesis:

Null hypothesis: $\mu_1 \leq \mu_2$

Alternative hypothesis: $\mu_1 > \mu_2$

The statistic is given by this formula:

$t=\frac{(\bar X_1 -\bar X_2)-(\mu_{1}-\mu_2)}{S_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}}$

Where t follows a t student distribution with $n_1+n_2 -2$ degrees of freedom and the pooled variance $S^2_p$ is given by this formula:

$\S^2_p =\frac{(n_1-1)S^2_1 +(n_2 -1)S^2_2}{n_1 +n_2 -2}$

Replacing we got:

$\S^2_p =\frac{(8-1)(3)^2 +(9 -1)(3)^2}{8 +9 -2}=9$

And the deviation would be just the square root of the variance:

$S_p=3$

The statitsic would be:

$t=\frac{(47 -44)-(0)}{3\sqrt{\frac{1}{8}+\frac{1}{9}}}=2.058$

The degrees of freedom are:

$df=8+9-2=15$

And the p value would be:

$p_v =P(t_{15}>2.058) =0.0287$

Since we have a p value lower than the significance level given of 0.05 we can reject the null hypothesis and we can conclude that the true mean for car rental rates in Boston are signiﬁcantly higher than those in Dallas

5 0

3 years ago

What is 5^3 simplified? Please answer!!

victus00 [196]

Answer:

125

Step-by-step explanation:

5^3=5*5*5

5*5=25

25*5=125

3 0

3 years ago

Read 2 more answers

Kate wants to buy a new bicycle from a sporting goods store. The bicycle she wants normally sells for $400. The store has a sale

algol13

Answer:

$160

Step-by-step explanation:

2/5 x 400 = 160

8 0

3 years ago

Read 2 more answers

Have you ever uploaded a photo you took to a social media site? If so, there is a good chance that because you agreed to the soc

ss7ja [257]

Answer:

I think it would be fine if they notified you but only if they used me for a good reason.

<em>On the other hand...</em>

no matter if it's on the agreement if it is inappropriate on your part it is illegal and you can complain.

3 0

2 years ago

Rearrange the shaded letters to answer the following question.

Klio2033 [76]

Answer:

Nice Belt is the correct answer

Step-by-step explanation:

I hope this helps

3 0

2 years ago

Find the perimeter of A ABC with vertices A(1,5), B(1,2), and C (-4,5). y