Suppose that a marketing researcher has been asked to determine if playing a new jingle on ice-cream trucks will increase unin sales from the current rate of 22 units/h. The researcher plans to conduct a one-sample t-test of the null hypothesis Ho: H S 22 units/h against the alternative H14> 22 units/h, where u is the mean number of units sold per hour. The researcher will collect sales data while playing the new jingle for one randomly chosen hour per day on one randomly chosen truck for a period of 14 days. The firm requires their results to be statistically significant at a = 0.05. The power of the test to reject the null hypothesis if the jingle will increase sales to 26 or more units/h is 0.90. What is the probability that the new jingle does not cause an increase in sales but the researcher recommends switching to it? Give your answer in decimal form, precise to two decimal places.

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Suppose that a marketing researcher has been asked to determine if playing a new jingle on ice-cream trucks will increase unin
sales from the current rate of 22 units/h. The researcher plans to conduct a one-sample t-test of the null hypothesis Ho: H S 22
units/h against the alternative H14> 22 units/h, where u is the mean number of units sold per hour. The researcher will
collect sales data while playing the new jingle for one randomly chosen hour per day on one randomly chosen truck for a
period of 14 days.
The firm requires their results to be statistically significant at a = 0.05. The power of the test to reject the null hypothesis if
the jingle will increase sales to 26 or more units/h is 0.90.
What is the probability that the new jingle does not cause an increase in sales but the researcher recommends switching to it?
Give your answer in decimal form, precise to two decimal places.
Transcribed Image Text:Suppose that a marketing researcher has been asked to determine if playing a new jingle on ice-cream trucks will increase unin sales from the current rate of 22 units/h. The researcher plans to conduct a one-sample t-test of the null hypothesis Ho: H S 22 units/h against the alternative H14> 22 units/h, where u is the mean number of units sold per hour. The researcher will collect sales data while playing the new jingle for one randomly chosen hour per day on one randomly chosen truck for a period of 14 days. The firm requires their results to be statistically significant at a = 0.05. The power of the test to reject the null hypothesis if the jingle will increase sales to 26 or more units/h is 0.90. What is the probability that the new jingle does not cause an increase in sales but the researcher recommends switching to it? Give your answer in decimal form, precise to two decimal places.
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