Energy Bar Customer Satisfaction Analysis
Added on 2020-04-21
7 Pages1152 Words75 Views
|
|
|
Statistics for Financial Decisions 1
STATISTICS FOR FINANCIAL DECISIONS – SCHMECKT GUT
Name
Course Number
Date
Faculty Name
STATISTICS FOR FINANCIAL DECISIONS – SCHMECKT GUT
Name
Course Number
Date
Faculty Name
Statistics for Financial Decisions 2
Statistics for Financial Decisions – Schmeckt Gut
1. Hypothesis testing
H0: μEnergy Bars = 47grams
HA: μEnergy Bars ≠ 47grams
1.1 The overall Schmeckt Gut Company
Table 1: Descriptive statistics for the weight of the Energy Bars
Weight
Mean 46.885
Standard Error 0.055423
Median 47
Mode 46.9
Standard Deviation 0.70105
Sample Variance 0.491472
Kurtosis 0.958043
Skewness 0.164609
Range 3.8
Minimum 45.2
Maximum 49
Sum 7501.6
Count 160
Confidence Level (95.0%) 0.10946
Table 2: First hypothesis test for overall Schmeckt Gut Energy Bars
Hypothesis testing
Mean 46.885
Standard Error 0.055423
Hypothesized mean 47
Significance level 0.05
Calculated Z-Statistic -2.07495
Tabulated Z-Statistic -1.96
Statistics for Financial Decisions – Schmeckt Gut
1. Hypothesis testing
H0: μEnergy Bars = 47grams
HA: μEnergy Bars ≠ 47grams
1.1 The overall Schmeckt Gut Company
Table 1: Descriptive statistics for the weight of the Energy Bars
Weight
Mean 46.885
Standard Error 0.055423
Median 47
Mode 46.9
Standard Deviation 0.70105
Sample Variance 0.491472
Kurtosis 0.958043
Skewness 0.164609
Range 3.8
Minimum 45.2
Maximum 49
Sum 7501.6
Count 160
Confidence Level (95.0%) 0.10946
Table 2: First hypothesis test for overall Schmeckt Gut Energy Bars
Hypothesis testing
Mean 46.885
Standard Error 0.055423
Hypothesized mean 47
Significance level 0.05
Calculated Z-Statistic -2.07495
Tabulated Z-Statistic -1.96
Statistics for Financial Decisions 3
The calculated Z-statistic lies within the rejection region on the left side of the normal curve,
hence concluding that the average weight of Schmeckt Gut Energy Bars is not 47 grams.
Therefore, the underlying information about the average weight of the Energy bars being
47grams has been disproved at 95% confidence level.
1.2 Hypothesis testing for the 5 districts
Table 3: Weight descriptive statistics of Energy Bars for the 5 districts
Statistic A B C D E
Mean 47.0135 46.9914 47.1000 46.5739 46.7800
Standard Error 0.0190 0.0394 0.2228 0.0863 0.2133
Median 47 47.1 46.9 46.65 47
Mode 46.9 47.1 48.2 47 47.5
Standard Deviation 0.1159 0.2331 1.2606 0.5852 0.6746
Sample Variance 0.0134 0.0543 1.5890 0.3424 0.4551
Kurtosis -1.2104 -1.0189 -1.5770 -1.0075 -1.1260
Skewness 0.5158 -0.5110 -0.0634 -0.2017 -0.6361
Range 0.3 0.7 3.8 2 1.8
Minimum 46.9 46.6 45.2 45.5 45.7
Maximum 47.2 47.3 49 47.5 47.5
Sum 1739.5 1644.7 1507.2 2142.4 467.8
Count 37 35 32 46 10
Confidence Level (95%) 0.0386 0.0801 0.4545 0.1738 0.4826
Table 4: One-sample hypothesis test for the two 5 districts
A B C D E
Mean 47.0135 46.9914 47.1000 46.5739 46.7800
Standard Error 0.0190 0.0394 0.2228 0.0863 0.2133
Hypothesized mean 47 47 47 47 47
Calculated Z-Statistic 0.7095 -0.2175 0.4488 -4.9386 -1.0313
Tabulated Z-Statistic 1.96 -1.96 1.96 -1.96 -1.96
The calculated Z-statistic lies within the rejection region on the left side of the normal curve,
hence concluding that the average weight of Schmeckt Gut Energy Bars is not 47 grams.
Therefore, the underlying information about the average weight of the Energy bars being
47grams has been disproved at 95% confidence level.
1.2 Hypothesis testing for the 5 districts
Table 3: Weight descriptive statistics of Energy Bars for the 5 districts
Statistic A B C D E
Mean 47.0135 46.9914 47.1000 46.5739 46.7800
Standard Error 0.0190 0.0394 0.2228 0.0863 0.2133
Median 47 47.1 46.9 46.65 47
Mode 46.9 47.1 48.2 47 47.5
Standard Deviation 0.1159 0.2331 1.2606 0.5852 0.6746
Sample Variance 0.0134 0.0543 1.5890 0.3424 0.4551
Kurtosis -1.2104 -1.0189 -1.5770 -1.0075 -1.1260
Skewness 0.5158 -0.5110 -0.0634 -0.2017 -0.6361
Range 0.3 0.7 3.8 2 1.8
Minimum 46.9 46.6 45.2 45.5 45.7
Maximum 47.2 47.3 49 47.5 47.5
Sum 1739.5 1644.7 1507.2 2142.4 467.8
Count 37 35 32 46 10
Confidence Level (95%) 0.0386 0.0801 0.4545 0.1738 0.4826
Table 4: One-sample hypothesis test for the two 5 districts
A B C D E
Mean 47.0135 46.9914 47.1000 46.5739 46.7800
Standard Error 0.0190 0.0394 0.2228 0.0863 0.2133
Hypothesized mean 47 47 47 47 47
Calculated Z-Statistic 0.7095 -0.2175 0.4488 -4.9386 -1.0313
Tabulated Z-Statistic 1.96 -1.96 1.96 -1.96 -1.96
End of preview
Want to access all the pages? Upload your documents or become a member.