Suppose you wanted to decrease the margin of error on your Overall Website Satisfaction metric to 0.1. Assuming that the sample standard deviation for this score and the confidence level stayed the same, what sample size would be needed to achieve this lower margin of error? Show your work! Calculate and display the 90% confidence intervals for the five satisfaction variables above: Overall satisfaction, Ease of Navigation, Ease of Ordering, Satisfaction with Customer Service, and Likelihood to Recommend. Write these in interval notation: (lower limit, upper limit) for those customers who say they are likely to purchase from you again. Calculate and display the 90% confidence intervals for the five satisfaction variables above: Overall satisfaction, Ease of Navigation, Ease of Ordering, Satisfaction with Customer Service, and Likelihood to Recommend. Write these in interval notation: (lower limit, upper limit) for those customers who say they are NOT likely to purchase from you again.
You are a webmaster and senior marketing analyst for a local clothing manufacturer experiencing recent growth in their business. Led by your efforts, your company recently completed a web redesign including a new system where customers can create and order custom designs online. To evaluate your customers’ satisfaction with the new website, you’ve surveyed a random sampling of 100 recent customers and asked them to rate their satisfaction on a scale from 1-5 (5 being the highest) on the following dimensions:
- Overall satisfaction with your company website
- Ease of navigation of the website
- Ease of ordering on the website
- Satisfaction with your company’s customer service
- Their likelihood to recommend your company to a friend
- If they are likely to purchase from your company again in the future (Yes/No)
Customer ID | Overall Website Satisfaction | Easy to Navigate | Ease of Ordering | Satisfaction with Customer Service | Likely to Recommend to a Friend | Likely to Purchase Again |
5001 | 2 | 1 | 3 | 4 | 2 | N |
5002 | 4 | 3 | 3 | 5 | 3 | Y |
5003 | 2 | 2 | 3 | 3 | 3 | N |
5004 | 3 | 1 | 1 | 4 | 2 | Y |
5005 | 5 | 4 | 3 | 5 | 4 | N |
5006 | 1 | 2 | 3 | 5 | 3 | N |
5007 | 4 | 3 | 3 | 4 | 4 | N |
5008 | 3 | 2 | 1 | 3 | 3 | N |
5009 | 2 | 3 | 2 | 2 | 2 | Y |
5010 | 2 | 2 | 2 | 4 | 2 | Y |
5011 | 3 | 3 | 2 | 2 | 4 | Y |
5012 | 2 | 2 | 2 | 4 | 2 | Y |
5013 | 4 | 3 | 5 | 5 | 4 | Y |
5014 | 3 | 3 | 4 | 2 | 3 | Y |
5015 | 3 | 3 | 1 | 3 | 4 | N |
5016 | 1 | 3 | 2 | 2 | 5 | Y |
5017 | 2 | 1 | 2 | 5 | 2 | N |
5018 | 4 | 4 | 4 | 4 | 3 | N |
5019 | 1 | 2 | 1 | 3 | 5 | N |
5020 | 5 | 4 | 3 | 5 | 4 | Y |
5021 | 3 | 1 | 2 | 2 | 3 | N |
5022 | 4 | 3 | 3 | 5 | 5 | Y |
5023 | 2 | 4 | 3 | 3 | 4 | N |
5024 | 3 | 3 | 1 | 4 | 4 | N |
5025 | 2 | 2 | 1 | 3 | 3 | N |
5026 | 2 | 1 | 3 | 2 | 3 | Y |
5027 | 1 | 1 | 1 | 2 | 3 | N |
5028 | 2 | 2 | 2 | 2 | 3 | N |
5029 | 1 | 3 | 2 | 1 | 4 | Y |
5030 | 4 | 2 | 4 | 3 | 5 | N |
5031 | 4 | 3 | 3 | 4 | 3 | Y |
5032 | 3 | 4 | 2 | 3 | 3 | N |
5033 | 5 | 5 | 2 | 4 | 5 | Y |
5034 | 3 | 3 | 3 | 3 | 2 | N |
5035 | 2 | 3 | 3 | 3 | 2 | N |
5036 | 4 | 4 | 3 | 5 | 3 | N |
5037 | 4 | 2 | 2 | 4 | 4 | N |
5038 | 1 | 1 | 2 | 4 | 2 | N |
5039 | 5 | 5 | 3 | 4 | 4 | Y |
5040 | 5 | 1 | 4 | 3 | 2 | Y |
5041 | 4 | 4 | 4 | 5 | 4 | Y |
5042 | 3 | 1 | 2 | 5 | 2 | N |
5043 | 5 | 4 | 2 | 3 | 5 | N |
5044 | 3 | 4 | 3 | 1 | 4 | N |
5045 | 4 | 2 | 3 | 4 | 4 | N |
5046 | 3 | 5 | 3 | 4 | 4 | Y |
5047 | 4 | 5 | 2 | 5 | 4 | Y |
5048 | 5 | 3 | 3 | 5 | 5 | Y |
5049 | 2 | 5 | 2 | 2 | 2 | Y |
5050 | 3 | 4 | 2 | 2 | 3 | N |
5051 | 2 | 2 | 5 | 2 | 2 | N |
5052 | 3 | 4 | 3 | 2 | 2 | N |
5053 | 4 | 4 | 4 | 3 | 3 | N |
5054 | 2 | 4 | 1 | 3 | 3 | N |
5055 | 2 | 1 | 2 | 1 | 3 | N |
5056 | 4 | 3 | 2 | 3 | 3 | N |
5057 | 3 | 3 | 3 | 4 | 4 | Y |
5058 | 2 | 3 | 3 | 3 | 2 | Y |
5059 | 3 | 2 | 3 | 4 | 4 | N |
5060 | 5 | 4 | 4 | 5 | 3 | N |
5061 | 2 | 1 | 2 | 4 | 3 | Y |
5062 | 4 | 3 | 2 | 3 | 3 | Y |
5063 | 5 | 5 | 4 | 4 | 1 | N |
5064 | 2 | 2 | 1 | 4 | 3 | N |
5065 | 2 | 1 | 2 | 2 | 4 | Y |
5066 | 2 | 2 | 3 | 3 | 4 | N |
5067 | 3 | 4 | 3 | 2 | 3 | N |
5068 | 2 | 2 | 2 | 2 | 3 | Y |
5069 | 5 | 5 | 2 | 4 | 3 | N |
5070 | 3 | 2 | 2 | 5 | 2 | N |
5071 | 4 | 4 | 5 | 5 | 3 | Y |
5072 | 4 | 1 | 4 | 3 | 4 | N |
5073 | 3 | 3 | 2 | 4 | 4 | N |
5074 | 3 | 5 | 2 | 3 | 3 | N |
5075 | 2 | 3 | 3 | 4 | 2 | N |
5076 | 1 | 2 | 1 | 5 | 1 | N |
5077 | 3 | 5 | 2 | 2 | 2 | Y |
5078 | 1 | 1 | 3 | 3 | 3 | N |
5079 | 4 | 3 | 2 | 4 | 5 | Y |
5080 | 3 | 3 | 4 | 2 | 3 | Y |
5081 | 4 | 4 | 3 | 3 | 3 | Y |
5082 | 2 | 3 | 2 | 3 | 2 | N |
5083 | 5 | 5 | 2 | 5 | 1 | Y |
5084 | 3 | 3 | 2 | 4 | 3 | Y |
5085 | 5 | 3 | 2 | 5 | 5 | Y |
5086 | 5 | 4 | 3 | 5 | 3 | Y |
5087 | 3 | 3 | 3 | 5 | 3 | Y |
5088 | 4 | 3 | 4 | 2 | 4 | N |
5089 | 1 | 1 | 3 | 4 | 1 | N |
5090 | 5 | 5 | 3 | 5 | 2 | Y |
5091 | 4 | 3 | 4 | 4 | 4 | N |
5092 | 4 | 2 | 4 | 4 | 2 | N |
5093 | 2 | 3 | 3 | 3 | 2 | N |
5094 | 3 | 4 | 3 | 3 | 3 | Y |
5095 | 3 | 4 | 4 | 5 | 3 | Y |
5096 | 4 | 3 | 3 | 3 | 3 | Y |
5097 | 3 | 4 | 2 | 3 | 3 | Y |
5098 | 2 | 4 | 1 | 3 | 3 | N |
5099 | 2 | 2 | 1 | 1 | 3 | Y |
5100 | 4 | 4 | 3 | 2 | 4 | N |
3.08 | 2.95 | 2.61 | 3.44 | 3.13 |
Suppose you wanted to decrease the margin of error on your Overall Website Satisfaction metric to 0.1. Assuming that the sample standard deviation for this score and the confidence level stayed the same, what sample size would be needed to achieve this lower margin of error? Show your work! Calculate and display the 90% confidence intervals for the five satisfaction variables above: Overall satisfaction, Ease of Navigation, Ease of Ordering, Satisfaction with Customer Service, and Likelihood to Recommend. Write these in interval notation: (lower limit, upper limit) for those customers who say they are likely to purchase from you again. Calculate and display the 90% confidence intervals for the five satisfaction variables above: Overall satisfaction, Ease of Navigation, Ease of Ordering, Satisfaction with Customer Service, and Likelihood to Recommend. Write these in interval notation: (lower limit, upper limit) for those customers who say they are NOT likely to purchase from you again.
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