QNT561 Spicy Wings Hypothesis Test Case Study

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Crnpurf2294

Mathematics

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I just need the the bold parts, 175 word each.

This is a team assignment, i have attached what we have so far.

Use descriptive statistics to compute a measure of performance John can use to analyze his delivery performance. Find the following for your measures:

  • Mean
  • Standard deviation
  • Sample size
  • Five-number summary on the total time

Conduct a formal hypothesis testing to help John decide whether to offer the delivery guarantee or not.

Estimate the probability of an order taking longer than 30 minutes.

Make a recommendation in a short narrative including the following:

  • Based on the sampled data, should John offer the guarantee?
  • What percent of the Saturday deliveries would result in a customer receiving a free order?
  • What recommendations might help John improve his Saturday delivery times?

Format your assignment consistent with APA format

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Pick-up Time 4.94 0 4.98 5.03 4.15 4.67 5.01 3.88 2.8 2.71 2.79 4.73 5.2 4.18 5.57 2.73 4.4 0 3.41 4.16 3.6 5.45 0 3.96 4.54 0 4.21 3.22 0 5.55 6.35 5.14 6.11 3.95 4.54 2.23 4.99 4.83 5.03 3.56 5.15 5.69 3.59 3.39 2.77 Drive Time Total Time 26.96 31.9 21.73 21.73 19.74 24.72 20.08 25.11 19.04 23.19 16.17 20.84 14.93 19.94 23.92 27.8 17.15 19.95 20.97 23.68 25.83 28.62 15.41 20.14 15.53 20.73 17.02 21.2 23.2 28.77 18.19 20.92 20.94 25.34 17.46 17.46 16.33 19.74 22.54 26.7 23.52 27.12 3.3 8.75 22.87 22.87 18.31 22.27 24.82 29.36 13.22 13.22 19.64 23.85 14.11 17.33 23.69 23.69 15.04 20.59 21.59 27.94 10.81 15.95 20.46 26.57 15.56 19.51 22.54 27.08 25.29 27.52 22.81 27.8 23.45 28.28 21.01 26.04 21.94 25.5 24.63 29.78 24.13 29.82 15.52 19.11 28.15 31.54 22 24.77 Column A, Pick minutes) a packaged o up by a delivery driver. Column B, Drive Time, minutes) required to de the customer after it ha driver. Column C, Total Time, Pick 0 4.25 3.97 3.1 4.13 3.81 0 3.95 5.97 4.1 4.21 3.83 3.93 4.74 0 5.61 3.8 4.46 3.7 6.06 4.83 3.16 2.5 5.63 4.41 5.26 0 3.26 5.12 5.07 0 4.14 4.75 3.67 3.02 3.47 3.3 2.77 3.2 0 0 6.27 6.4 4.67 3.41 0 4.25 15.34 20.36 13.7 21.92 22.73 16.73 21.96 16.91 22.25 18.49 14.76 24.01 8.64 20.57 17.59 20.93 17 23.17 13.58 14 17.44 21.92 20.87 7.43 13.93 20.01 19.71 19.72 17.72 19.5 16.47 18.78 15.99 24.15 24.52 18.5 18.96 17.92 11.21 22.32 15.2 17.14 16.06 24.99 12.83 20.75 19.33 15.34 24.61 17.67 25.02 26.86 20.54 21.96 20.86 28.22 22.59 18.97 27.84 12.57 25.31 17.59 26.54 20.8 27.63 17.28 20.06 22.27 25.08 23.37 13.06 18.34 25.27 19.71 22.98 22.84 24.57 16.47 22.92 20.74 27.82 27.54 21.97 22.26 20.69 14.41 22.32 15.2 23.41 22.46 29.66 16.24 20.75 23.58 4.61 4.41 5.31 2.76 4.64 4.31 4.39 0 4.93 5.14 0 6.36 2.99 3.11 3.52 2.97 2.62 5.59 5.08 4.02 0 4.93 0 0 6.44 5.01 4.41 7.63 0 5.53 4.87 0 0 3.83 5.63 0 0 4.7 0 3.68 5.36 0 0 5.59 5.93 2.86 3.6 17.87 18.95 23.54 15.15 23.23 21.95 22.47 11.58 20.03 13.06 17.48 19.89 17.26 14.13 21.42 24.67 26.47 21.36 21.29 17.99 25.58 14.15 16.34 12.29 21.97 24.75 13.92 19.18 17.15 11.83 21.49 10.82 18.62 8.91 23.38 17.37 8.9 12.29 27.79 18.96 21.22 19.49 19.52 21.25 16.09 19.37 17.12 22.48 23.36 28.85 17.91 27.87 26.26 26.86 11.58 24.96 18.2 17.48 26.25 20.25 17.24 24.94 27.64 29.09 26.95 26.37 22.01 25.58 19.08 16.34 12.29 28.41 29.76 18.33 26.81 17.15 17.36 26.36 10.82 18.62 12.74 29.01 17.37 8.9 16.99 27.79 22.64 26.58 19.49 19.52 26.84 22.02 22.23 20.72 6.19 2.51 0 3.72 6.15 3.45 4.43 0 4.27 5.34 3.31 4.49 3.02 2.64 0 0 2.5 3.66 4.11 5.03 4.57 4.76 3.95 4.04 5.4 2.91 0 2.4 3.09 6.13 4.64 7.14 5.57 2.82 5.9 4.77 6.44 3.37 3.82 4.69 0 3.02 4.64 0 4.45 4.42 4.46 19.02 15.97 21.74 22.34 21.16 22.01 22.36 22.97 15 24.78 9.4 15.24 21.07 20.98 19.67 22.96 18.82 15.54 18.02 17.2 26.12 12.22 23.28 25.02 16.38 16.71 9.75 21.67 16.68 25.22 17.55 15.86 17.02 25.08 17.57 18.85 17.13 21.08 19.51 26.74 18.48 20.32 26.25 19.1 21.83 22.12 22.43 25.21 18.48 21.74 26.06 27.31 25.46 26.79 22.97 19.27 30.12 12.71 19.73 24.09 23.62 19.67 22.96 21.32 19.2 22.13 22.23 30.69 16.98 27.23 29.06 21.78 19.62 9.75 24.07 19.77 31.35 22.19 23 22.59 27.9 23.47 23.62 23.57 24.45 23.33 31.43 18.48 23.34 30.89 19.1 26.28 26.54 26.89 4.37 3.91 5.76 0 0 2.82 5.92 4.94 5.87 4.07 7.22 5.24 0 3.71 Mean: Standard Deviation: 3.6109 1.971698039 21.01 12.04 13.02 11.39 19.78 17.14 19.84 19.92 19.49 22.32 16.59 15.48 10.6 18.4 25.38 15.95 18.78 11.39 19.78 19.96 25.76 24.86 25.36 26.39 23.81 20.72 10.6 22.11 18.9117 22.5226 4.35609803 4.8741294 # of measured attempts # of actual attempts under a total of 30 minutes Error rate Sample Size (assuming 99% confidence level) Sample Size (assuming 95% confidence level) Sample Size (assuming 90% confidence level) Median Max Value Minimum Value First Quartile Third Quartile 200 193 3.626943 43.465541 25.163179 17.724956 22.895 31.9 8.75 19.595 26.375 Column A, Pick-up Time, is the amount of time (in minutes) a packaged order had to wait to be picked up by a delivery driver. Column B, Drive Time, is the amount of time (in minutes) required to deliver the packaged order to the customer after it has been picked up by the driver. Column C, Total Time, is the total amount of time. Pick-upTime + Drive Time. Pick-up Time 4.94 0 4.98 5.03 4.15 4.67 5.01 3.88 2.8 2.71 2.79 4.73 5.2 4.18 5.57 2.73 4.4 0 3.41 4.16 3.6 5.45 0 3.96 4.54 0 4.21 3.22 0 5.55 6.35 5.14 6.11 3.95 4.54 2.23 4.99 4.83 5.03 3.56 5.15 5.69 3.59 3.39 2.77 Drive Time Total Time 26.96 31.9 21.73 21.73 19.74 24.72 20.08 25.11 19.04 23.19 16.17 20.84 14.93 19.94 23.92 27.8 17.15 19.95 20.97 23.68 25.83 28.62 15.41 20.14 15.53 20.73 17.02 21.2 23.2 28.77 18.19 20.92 20.94 25.34 17.46 17.46 16.33 19.74 22.54 26.7 23.52 27.12 3.3 8.75 22.87 22.87 18.31 22.27 24.82 29.36 13.22 13.22 19.64 23.85 14.11 17.33 23.69 23.69 15.04 20.59 21.59 27.94 10.81 15.95 20.46 26.57 15.56 19.51 22.54 27.08 25.29 27.52 22.81 27.8 23.45 28.28 21.01 26.04 21.94 25.5 24.63 29.78 24.13 29.82 15.52 19.11 28.15 31.54 22 24.77 Column A, Pick minutes) a packaged o up by a delivery driver. Column B, Drive Time, minutes) required to de the customer after it ha driver. Column C, Total Time, Pick 0 4.25 3.97 3.1 4.13 3.81 0 3.95 5.97 4.1 4.21 3.83 3.93 4.74 0 5.61 3.8 4.46 3.7 6.06 4.83 3.16 2.5 5.63 4.41 5.26 0 3.26 5.12 5.07 0 4.14 4.75 3.67 3.02 3.47 3.3 2.77 3.2 0 0 6.27 6.4 4.67 3.41 0 4.25 15.34 20.36 13.7 21.92 22.73 16.73 21.96 16.91 22.25 18.49 14.76 24.01 8.64 20.57 17.59 20.93 17 23.17 13.58 14 17.44 21.92 20.87 7.43 13.93 20.01 19.71 19.72 17.72 19.5 16.47 18.78 15.99 24.15 24.52 18.5 18.96 17.92 11.21 22.32 15.2 17.14 16.06 24.99 12.83 20.75 19.33 15.34 24.61 17.67 25.02 26.86 20.54 21.96 20.86 28.22 22.59 18.97 27.84 12.57 25.31 17.59 26.54 20.8 27.63 17.28 20.06 22.27 25.08 23.37 13.06 18.34 25.27 19.71 22.98 22.84 24.57 16.47 22.92 20.74 27.82 27.54 21.97 22.26 20.69 14.41 22.32 15.2 23.41 22.46 29.66 16.24 20.75 23.58 4.61 4.41 5.31 2.76 4.64 4.31 4.39 0 4.93 5.14 0 6.36 2.99 3.11 3.52 2.97 2.62 5.59 5.08 4.02 0 4.93 0 0 6.44 5.01 4.41 7.63 0 5.53 4.87 0 0 3.83 5.63 0 0 4.7 0 3.68 5.36 0 0 5.59 5.93 2.86 3.6 17.87 18.95 23.54 15.15 23.23 21.95 22.47 11.58 20.03 13.06 17.48 19.89 17.26 14.13 21.42 24.67 26.47 21.36 21.29 17.99 25.58 14.15 16.34 12.29 21.97 24.75 13.92 19.18 17.15 11.83 21.49 10.82 18.62 8.91 23.38 17.37 8.9 12.29 27.79 18.96 21.22 19.49 19.52 21.25 16.09 19.37 17.12 22.48 23.36 28.85 17.91 27.87 26.26 26.86 11.58 24.96 18.2 17.48 26.25 20.25 17.24 24.94 27.64 29.09 26.95 26.37 22.01 25.58 19.08 16.34 12.29 28.41 29.76 18.33 26.81 17.15 17.36 26.36 10.82 18.62 12.74 29.01 17.37 8.9 16.99 27.79 22.64 26.58 19.49 19.52 26.84 22.02 22.23 20.72 6.19 2.51 0 3.72 6.15 3.45 4.43 0 4.27 5.34 3.31 4.49 3.02 2.64 0 0 2.5 3.66 4.11 5.03 4.57 4.76 3.95 4.04 5.4 2.91 0 2.4 3.09 6.13 4.64 7.14 5.57 2.82 5.9 4.77 6.44 3.37 3.82 4.69 0 3.02 4.64 0 4.45 4.42 4.46 19.02 15.97 21.74 22.34 21.16 22.01 22.36 22.97 15 24.78 9.4 15.24 21.07 20.98 19.67 22.96 18.82 15.54 18.02 17.2 26.12 12.22 23.28 25.02 16.38 16.71 9.75 21.67 16.68 25.22 17.55 15.86 17.02 25.08 17.57 18.85 17.13 21.08 19.51 26.74 18.48 20.32 26.25 19.1 21.83 22.12 22.43 25.21 18.48 21.74 26.06 27.31 25.46 26.79 22.97 19.27 30.12 12.71 19.73 24.09 23.62 19.67 22.96 21.32 19.2 22.13 22.23 30.69 16.98 27.23 29.06 21.78 19.62 9.75 24.07 19.77 31.35 22.19 23 22.59 27.9 23.47 23.62 23.57 24.45 23.33 31.43 18.48 23.34 30.89 19.1 26.28 26.54 26.89 4.37 3.91 5.76 0 0 2.82 5.92 4.94 5.87 4.07 7.22 5.24 0 3.71 Mean: Standard Deviation: 3.6109 1.971698039 21.01 12.04 13.02 11.39 19.78 17.14 19.84 19.92 19.49 22.32 16.59 15.48 10.6 18.4 25.38 15.95 18.78 11.39 19.78 19.96 25.76 24.86 25.36 26.39 23.81 20.72 10.6 22.11 18.9117 22.5226 4.35609803 4.8741294 Column A, Pick-up Time, is the amount of time (in minutes) a packaged order had to wait to be picked up by a delivery driver. Column B, Drive Time, is the amount of time (in minutes) required to deliver the packaged order to the customer after it has been picked up by the driver. Column C, Total Time, is the total amount of time. Pick-upTime + Drive Time.
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Explanation & Answer

See attached:)

Running head: SPICY WINGS

1

Spicy Wings
Name
Institution
Date

SPICY WINGS

2

Hypothesis test
Hypothesis test attempts to inform the researcher if the hypothesis or research claim is
true or not. In this scenario, the hypothesis test attempts to determine whether John ought to go
ahead and implement the delivery offer to the clients or not. In order to implement the strategy of
recapturing the market share, John should ensure that the average time of delivering the wings is
below or equal to 30 minutes. The hypothesis test can be conducted as follows (Ott &
Longnecker, 2015);
Formulating the null and alternative hypothesis
H0: µ ≤ 30
H1: µ > 30
Notably, the population standard deviation and the mean are not known. As such, the
right-tailed t-test is the most appropriate test to determine if the mean total time for delivering the
wings is less than thirty. The test statistic can be computed as follows;
𝑡=

µ − 30
s
√𝑛

Where s is represents the standard deviation for the sample, n represents the sample size,
and µ represents the sample mean. Using an alpha level of significance of 0.05, the formula
can be evaluated in the Excel to obtain the following results;
Hypothesis Test: Mean vs. Hypothesized Value
30 hypothesized value
22.523 mean Total Time
4.87 std. dev.
0.3447 std. error

SPICY WINGS

3

200 N
199 Df

-21.70
1.0

T
p-value (one-tailed, upper)

Notably, the test results indicate that the t-statistics = -21.7 resulting in a p-value of 1.
The p-value is larger compared to an alpha of 0.05 implying that there is n...


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