Cost of Pizzas A pizza shop owner wishes to find the 95% confidence interval of the true mean cost of a large plain pizza. How large should the sample be if she wishes to be accurate to within $0.16? A previous study showed that the standard deviation of the price was $0.48. Round your final answer up to the next whole number. The owner needs at least a sample of pizzas. X S

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**Cost of Pizzas**

A pizza shop owner wants to determine the 95% confidence interval for the true mean cost of a large plain pizza. To achieve an accuracy of within $0.16, how large should the sample size be? According to a previous study, the standard deviation of the price was $0.48. Round your final answer to the next whole number.

The owner needs at least a sample of [ ] pizzas.

*[Explanation: The text presents a statistical problem related to determining the sample size needed for a specific confidence interval and margin of error. It involves understanding concepts such as confidence intervals, standard deviation, and sample size calculations.]*
Transcribed Image Text:**Cost of Pizzas** A pizza shop owner wants to determine the 95% confidence interval for the true mean cost of a large plain pizza. To achieve an accuracy of within $0.16, how large should the sample size be? According to a previous study, the standard deviation of the price was $0.48. Round your final answer to the next whole number. The owner needs at least a sample of [ ] pizzas. *[Explanation: The text presents a statistical problem related to determining the sample size needed for a specific confidence interval and margin of error. It involves understanding concepts such as confidence intervals, standard deviation, and sample size calculations.]*
**Water Temperature**: If the variance of the water temperature in a lake is 26°, how many days should the researcher select to measure the temperature to estimate the true mean within 3° with 99% confidence? Round the intermediate calculations to two decimal places and round up your final answer to the next whole number.

The researcher needs a sample of at least [ ] days.

There is a text box for entering the answer and two buttons: one with an "X" symbol, likely for clearing input, and one with a circular arrow, presumably for resetting the problem or input.
Transcribed Image Text:**Water Temperature**: If the variance of the water temperature in a lake is 26°, how many days should the researcher select to measure the temperature to estimate the true mean within 3° with 99% confidence? Round the intermediate calculations to two decimal places and round up your final answer to the next whole number. The researcher needs a sample of at least [ ] days. There is a text box for entering the answer and two buttons: one with an "X" symbol, likely for clearing input, and one with a circular arrow, presumably for resetting the problem or input.
Expert Solution
Step 1: Given data :

Margin of error(E)=0.16

Standard deviation(sigma)=0.48



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