Mathematics, 16.06.2020 22:57 Maria3737

A certain daily delivery route for Hostess breads and snack cakes includes eight grocery stores and four convenience stores. The historical mean tome to complete these deliveries (to the 12 stores) and return to the distribution center is 6.5 hours. A new deliver has been assigned to this route, and a random sample of his route completion times (in hours) was obtained. The data are given below: 6.61, 6.25, 6.40, 6.57, 6.35, 5.95, 6.53, 6.29

Required:
Assume the underlying population is normal. Is there evidence to suggest that the new driver has been able to shorten the route completion time, at the level of significance 0.01?

a. 0.05 b. 0.1 < p-value < 0.2: There is no evidence to suggest tha tthe new driver has been able to shorten the mean delivery time for this route.
c. 0.1 < p-value < 0.2: There is an enough evidence to suggest thatthe new driver has been able to shorten the mean delivery time for this route.
d. 0.05 < p-value < 0.1: There is no evidence to suggest tha tthe new driver has been able to shorten the mean delivery time for this route.

Answers: 3

Show answers

Answers

Answer from: Hi123the

d. 0.05 < p-value < 0.1: There is no evidence to suggest tha tthe new driver has been able to shorten the mean delivery time for this route.

Step-by-step explanation:

We calculate the mean and standard deviation of the sample:

$M=\dfrac{1}{8}\sum_{i=1}^{8}(6.61+6.25+6.4+6.57+6.35+5.95+6.53+6.29)\\\\\\ M=\dfrac{50.95}{8}=6.369$

$s=\sqrt{\dfrac{1}{(n-1)}\sum_{i=1}^{8}(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{7}\cdot [(6.61-(6.369))^2+...+(6.29-(6.369))^2]}\\\\\\s=\sqrt{\dfrac{0.3216875}{7}}=\sqrt{0.046}\\\\\\s=0.214$

This is a hypothesis test for the population mean.

The claim is that the new driver has been able to shorten the route completion time (significantly less than 6.5 hours).

Then, the null and alternative hypothesis are:

$H_0: \mu=6.5\\\\H_a:\mu< 6.5$

The significance level is 0.01.

The sample has a size n=8.

The sample mean is M=6.369.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=0.214.

The estimated standard error of the mean is computed using the formula:

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{0.214}{\sqrt{8}}=0.08$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{6.369-6.5}{0.08}=\dfrac{-0.13}{0.08}=-1.73$

The degrees of freedom for this sample size are:

df=n-1=8-1=7

This test is a left-tailed test, with 7 degrees of freedom and t=-1.73, so the P-value for this test is calculated as (using a t-table):

P-value=P(t

As the P-value (0.063) is bigger than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the new driver has been able to shorten the route completion time (significantly less than 6.5 hours).

Answer from: Quest

Top right since it passes vertical line test
Which graph represents a function?

Answer from: Quest

a. turk and mcalister

b. howard, mission, and market

c. yes. since streets end some do not cross yet are not parallel to others. example: mcalister and 5th

step-by-step explanation:

parallel lines are lines which do not intersect ever and look a lot like railroad tracks. turk, mcalister and golden gate are examples of these.

intersect are streets which cross each other and a car on one can reach the other. howard, mission, and market intersect with 6th.

skew lines are lines which neither intersect nor are parallel. these lines exist here because some streets end and never intersect another like mcalister and 5th.

A. name the streets that are parallel to golden gate. b. name the streets that intersect 6th street.

Another question on Mathematics

Mathematics, 21.06.2019 16:30

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below:

Answers: 1

Answer

Mathematics, 21.06.2019 18:50

The table represents a function f(x). what is f(3)? a.-9 b.-1 c.1 d.9

Answers: 1

Answer

Mathematics, 21.06.2019 19:00

The focus of parabola is (-4, -5), and its directrix is y= -1. fill in the missing terms and signs in parabolas equation in standard form

Answers: 1

Answer

Mathematics, 21.06.2019 22:00

How do you write a paragraph proof to prove that the corresponding angles shown are congruent