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maksim [4K]
3 years ago
13

Chic-ken Rulez is a food vendor at the state fair that only sells complete box meals which includes a sandwich (chicken or turke

y), fries, and drink. Customers walk up to the counter at Chic-ken Rulez and place an order.The counter employee enters the order into the system which is displayed on several screens for all other employees to see the items that need to be made. In the kitchen sandwich makers assemble the selected sandwich once it displays on the order screen. The fry master will cook, salt, and scoop the ordered fries into a cup. Meanwhile, the employee that took the order, will prepare the requested drink. Once the sandwich and fries are complete, they are place in a window where the counter employee places all items in a box and delivers it to the customer. Taking the order and entering it into the system takes 5 minutes. Once entered, the display screens instantly show the items to be made. The counter employee then takes an average of 3 minutes to make a drink. On average, it takes sandwich makers 8 minutes to complete a sandwich and place in the pick-up window. The fry maker takes 12 minutes on average to complete a cup of fries and place in the pick-up window. It takes the counter employee 10 minutes to box all items and hand to customer for delivery. All times listed are flow times for each activity and include the effects of waiting.1) Draw a process map/flowchart for the above process and Label it Process #1Chic-ken Rulez wishes to improve the process by reducing the time to deliver a meal box. Customers often make an order and leave the counter area to find seating. This is the root cause for delivery times being so long because on average a customer's meal order is called 3 times before it is actually picked up which completes delivery.To reduce the process time, Chic-ken Rulez is going to provide customers with a miniature plastic chicken with a GPS tracker inside at the time of the order. The order process is the same except now the box and delivery activity will be two separate activities. Delivery is now performed by food runners that use a handheld device to locate the GPS plastic chickens, collect the plastic chicken for re-use, and deliver a customer’s ordered meal box.It now takes 2 minutes to box a meal. Based on preliminary tests, the average time to locate a GPS plastic chicken and deliver a meal box in the food area takes 7 minutes.2) Draw a process map/flowchart for the above modified process and Label it Process #2

Mathematics
1 answer:
sveta [45]3 years ago
5 0

Answer:

This answer was provided through an attachment since it basically involves drawing a flow diagram.

Step-by-step explanation:

the question requires that we draw a flow diagram of the time and process of taking an order, making a drink, fixing a sandwich and also making fries.

please check the attachment for the processes #1 and #2.

the net process time minute for process#1

5+12+10 = 27 minutes

the net process time minute for process# 2

5 + 12 + 2 + 7

= 26 minutes

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Answer:

t=\frac{6.5-6.7}{\sqrt{\frac{0.5^2}{100}+\frac{0.7^2}{110}}}}=-2.398  

df = n_1 +n_2 -2= 100+110-2= 208

Since is a bilateral test the p value would be:

p_v =2*P(t_{208}

Comparing the p value with the significance level given \alpha=0.05 we see that p_v so we can conclude that we can reject the null hypothesis, and we have significant differences between the two groups at 5% of significance.

Step-by-step explanation:

Data given and notation

\bar X_{1}=6.5 represent the sample mean for Atlanta

\bar X_{2}=6.7 represent the sample mean for Chicago

s_{1}=0.5 represent the sample deviation for Atlanta

s_{2}=0.7 represent the sample standard deviation for Chicago

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n_{2}=110 sample size for the group Chicago

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\alpha=0.01 significance level provided

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We need to conduct a hypothesis in order to check if the meanfor atlanta is different from the mean of Chicago, the system of hypothesis would be:

Null hypothesis:\mu_{1}=\mu_{2}

Alternative hypothesis:\mu_{1} \neq \mu_{2}

Since we don't know the population deviations for each group, for this case is better apply a t test to compare means, and the statistic is given by:

t=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}} (1)

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

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

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What is the p-value for this hypothesis test?

The degrees of freedom are given by:

df = n_1 +n_2 -2= 100+110-2= 208

Since is a bilateral test the p value would be:

p_v =2*P(t_{208}

Based on the p-value, what is your conclusion?

Comparing the p value with the significance level given \alpha=0.05 we see that p_v so we can conclude that we can reject the null hypothesis, and we have significant differences between the two groups at 5% of significance.

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