Write the slope intercept form of the equation of the line through the given point with the given slope

5) In a certain supermarket, a sample of 60 customers who used a self-service checkout lane averaged 5.2 minutes of checkout tim

Ne4ueva [31]

Answer:

$\S^2_p =\frac{(60-1)(3.1)^2 +(72 -1)(2.8)^2}{60 +72 -2}=8.643$

$S_p=2.940$

$t=\frac{(5.2 -6.1)-(0)}{2.940\sqrt{\frac{1}{60}+\frac{1}{72}}}=-1.751$

$df=60+72-2=130$

$p_v =P(t_{130}$

Assuming a significance level of $\alpha=0.05$ we have that the p value is lower than this significance level so then we can conclude that the mean for checkout time is significantly less for people who use the self-service lane

Step-by-step explanation:

Data given

Our notation on this case :

$n_1 =60$ represent the sample size for people who used a self service

$n_2 =72$ represent the sample size for people who used a cashier

$\bar X_1 =5.2$ represent the sample mean for people who used a self service

$\bar X_2 =6.1$ represent the sample mean people who used a cashier

$s_1=3.1$ represent the sample standard deviation for people who used a self service

$s_2=2.8$ represent the sample standard deviation for people who used a cashier

Assumptions

When we have two independent samples from two normal distributions with equal variances we are assuming that

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

The statistic is given by:

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

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

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

System of hypothesis

Null hypothesis: $\mu_1 \geq \mu_2$

Alternative hypothesis: $\mu_1 < \mu_2$

This system is equivalent to:

Null hypothesis: $\mu_1 - \mu_2 \geq 0$

Alternative hypothesis: $\mu_1 -\mu_2 < 0$

We can find the pooled variance:

$\S^2_p =\frac{(60-1)(3.1)^2 +(72 -1)(2.8)^2}{60 +72 -2}=8.643$

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

$S_p=2.940$

The statistic is given by:

$t=\frac{(5.2 -6.1)-(0)}{2.940\sqrt{\frac{1}{60}+\frac{1}{72}}}=-1.751$

The degrees of freedom are given by:

$df=60+72-2=130$

And now we can calculate the p value with:

$p_v =P(t_{130}$

Assuming a significance level of $\alpha=0.05$ we have that the p value is lower than this significance level so then we can conclude that the mean for checkout time is significantly less for people who use the self-service lane

5 0

3 years ago

Can someone solve this

Musya8 [376]

Answer:

$m = \boxed{10}, \: \: c = \boxed{0}$

Step-by-step explanation:

$y = 10x \\ \\ y = 10x + 0 \\ \\ equating \: it \: with \\ y = mx + c \\ \\ m = \boxed{10} \: \: c = \boxed{0}$

4 0

3 years ago

Factor the expression using the GCF. 18x + 24y.

Georgia [21]

Answer: 6(3x + 4y)

1. Find the GCF (the largest number that goes into both 18x AND 24y). This would be 6.

2. Factor out the 6 by dividing each of the terms by the GCF
18x/6 = 3x
24y/6 = 4y

3. Write as a factored expression
6(3x + 4y)

8 0

3 years ago

I need to hurry asap

swat32

the order from least to greatest is c d a f e b

a=0.875,b=1.20,c=0.08,d=0.6,e=1.08,f=0.95

place them above the 0 on the number line since none is negative

5 0

3 years ago

What is 32.5 ÷ -3.6

Valentin [98]

A positive number divided by a negative number has a negative result, so you are in effect evaluating -(32.5/3.6). This, in turn, is -9.02777777..., a repeating decimal which can be re-written as 9 1/36.

8 0

4 years ago