The average customer waiting time at a fast food restaurant has been 7.5 minutes. The customer waiting time has a normal distribution. The manager claims that the use of a new system will decrease average customer waiting time in the store. What is the null and alternative hypothesis for this scenario? (Ch10)A. H0: m =7.5 and H1:m ? 7.5

B. H0: m <=7.5 and H1:m > 7.5

C. H0: m >=7.5 and H1:m < 7.5

D. H0: m <7.5 and H1:m >=7.5

E. H0: m >7.5 and H1:m <= 7.5

Answers

Answer 1

Answer:

Answer: C . $H_0:\mu\geq7.5$ and $H_a:\mu<7.5$

Step-by-step explanation:

Definition:

Null hypothesis $(H_0)$ is a statement about the population parameter according to the objective raised by the researcher . It contains '=' , '≤' and '≥' signs.

Alternative hypothesis $(H_a)$ is also a statement about the population parameter but against null hypothesis . It contains '≠' , '<' and '>' signs.

Let $\mu$ be the average customer waiting time for the population.

Given : The average customer waiting time at a fast food restaurant has been 7.5 minutes.

Objective of test : After using new system , the average customer waiting time is at least 7.5 or less than 7.5.

Then, the null and alternative hypothesis for this scenario will be :

$H_0:\mu\geq7.5$

$H_a:\mu<7.5$

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Enter the symbol (<, >, or =) that correctly completes this comparison.0.147 0 0.174

Solve the right triangle ABC, with C = 90.00◦ , a = 15.21 cm, b = 17.34 cm. Round to two decimal places.

Answers

Answer:

the hypotenuse side, c = 23.1 cm

angle A = 41.26 ⁰

angle B = 48.74 ⁰

Step-by-step explanation:

Given;

first leg of the right triangle, a = 15.21 cm

second leg of the right triangle, b = 17.34 cm

Angle C = 90 ⁰

The missing parameters;

the hypotenuse side = c

angle A

angle B

Use Pythagoras theorem to calculate the missing side "c", which is the hypotenuse

c² = a² + b²

c² = (15.21)² + (17.34)²

c² = 532.02

c = √532.02

c = 23.1 cm

The missing angle A is calculated as;

$tan(A) = (a)/(b) \n\ntan(A) = (15.21)/(17.34) \n\ntan(A) = 0.8772 \n\nA = tan^(-1) (0.8772)\n\nA = 41.26^0$

The missing angle is calculated as;

B = 90⁰ - A

B = 90⁰ - 41.26⁰

B = 48.74⁰

In the formula N = L(1 - d), find the value of N, when L = $2,500 andd = 0.03.
Pls help fast

Answers

Answer:

N=2425

Simplify 2500 (1-0.03).

N=2425

Find the sum and difference of the greatest and the least six digit number formed by the digits 2,0,4,7,6,5 using each digit only once

Answers

Answer:

See below

Step-by-step explanation:

The greatest number formed by those numbers is: 765420

The least number formed by those number is: 204567

The sum is: 765420 + 204567 = 969987

The difference is: 765420 - 204567 = 560853

Answer: Hi!

First we need to form the biggest and smallest number out of these digits. To do this it's pretty simple - just order the numbers from greatest to least for the greatest number, and from least to greatest for the least number! (However, for the least number, we will have to put the zero in front of 2, the second least number, because we can't put 0 in front of 2 and still be actually using it in the number.)

Greatest: 765420

Least: 204567

Now we add the numbers together:

765420 + 204567 = 969987

Now we subtract the numbers:

765420 - 204567 = 560853

These are your answers!

Hope this helps!

Ernie Rolph borrowed $6150 at 10% annual simple interest. If exactly 1 year later he was able to repay the loanwithout penalty, how much interest would he owe?
Ernie will owe $
in interest.

Show work!

Answers

Answer:

615

Step-by-step explanation:

6150 x 10%

6150 x 0.10 = 615

Answer:

615

Step-by-step explanation:

6150 ÷ 100 = 61.5

61.5 X 10 = 615

6150 X 0.1 = 615

T/F: The shapes are similar.

Answers

Shape DCBA ~ Shape SRQP

Shape: SRQP
Hope this helps

ind the value of the test statistic z using z equals StartFraction ModifyingAbove p with caret minus p Over StartRoot StartFraction pq Over n EndFraction EndRoot EndFractionz= p−p pq n. The claim is that the proportion of peas with yellow pods is equal to 0.25 (or 25%). The sample statistics from one experiment include 530530 peas with 139139 of them having yellow pods.

Answers

Answer:

$z=\frac{0.262 -0.25}{\sqrt{(0.25(1-0.25))/(530)}}=0.638$

Step-by-step explanation:

Data given and notation

n=530 represent the random sample taken

X=139 represent the yellow pods in the random sample

$\hat p=(139)/(530)=0.262$ estimated proportion of yellow pods

$p_o=0.25$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

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

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is 0.25 or 25%:

Null hypothesis: $p=0.25$

Alternative hypothesis: $p \neq 0.25$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{(p_o (1-p_o))/(n)}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.262 -0.25}{\sqrt{(0.25(1-0.25))/(530)}}=0.638$

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