b. Calculate the standard deviation of the sampling distribution of p. 10. 6.4.2 For this scenario, is the sampling distribution of p approximately normal? Why or why not?

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9. 6.4.1 (tb_71) A restaurant manager estimates that 40% of all customers would order the nightly special if it
came with a free dessert. The manager surveys a random sample of 50 customers to see if they would order the
nightly special if it came with a free dessert.
a. Calculate the mean of the sampling distribution of p, the proportion of customers that answer yes to the
survey.
b. Calculate the standard deviation of the sampling distribution of p.
10. 6.4.2 For this scenario, is the sampling distribution of p approximately normal? Why or why not?
11. 6.4.3 Calculate the probability that at least 50% of the customers sampled answer yes to the survey.
Transcribed Image Text:9. 6.4.1 (tb_71) A restaurant manager estimates that 40% of all customers would order the nightly special if it came with a free dessert. The manager surveys a random sample of 50 customers to see if they would order the nightly special if it came with a free dessert. a. Calculate the mean of the sampling distribution of p, the proportion of customers that answer yes to the survey. b. Calculate the standard deviation of the sampling distribution of p. 10. 6.4.2 For this scenario, is the sampling distribution of p approximately normal? Why or why not? 11. 6.4.3 Calculate the probability that at least 50% of the customers sampled answer yes to the survey.
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