Suppose you own a local ice cream shop. According to a customer satisfaction survey with 20 customers you completed yesterday, the average satisfactions score is 7.5 out of 10. You remembered that historically the satisfaction score is around 7 and you wonder whether the satisfaction score now is different. The sample variance of the satisfaction score from the survey is 1.5. You created a histogram for the scores and they look like a normal distribution, so there is some evidence that customers’ satisfaction score is normally distributed. Based on the information above, what is your null and alternative hypothesis? Calculate the test statistic and conduct the test. What is your conclusion? (Significance level α = 0.05) (Critical values for Standard Normal distribution: ) (Critical values for t distribution with n-1=19 degrees of freedom: )
Suppose you own a local ice cream shop. According to a customer satisfaction survey with 20 customers you completed yesterday, the average satisfactions score is 7.5 out of 10. You remembered that historically the satisfaction score is around 7 and you wonder whether the satisfaction score now is different. The sample variance of the satisfaction score from the survey is 1.5. You created a histogram for the scores and they look like a normal distribution, so there is some evidence that customers’ satisfaction score is
(Significance level α = 0.05)
(Critical values for Standard Normal distribution: )
(Critical values for t distribution with n-1=19 degrees of freedom: )
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