A toy manufacturer wants to know how many new toys children buy each year. A sample of 179 children was taken to study their purchasing habits. Construct the 85% confidence interval for the mean number of toys purchased each year if the sample mean was found to be 6.1. Assume that the population standard deviation is 1.4. Round your answers to one decimal place. (a) Which of the following formulae is the valid formula to find answer to this question? 1. (zCriticalValue×σ)2 error zCriticalV alue2 × p?× (1 − p?) 2. 3. p?±ztable ×?p?(1−p?) error2 n x ± ztable × √σ n x ± ttable × √s n (b)  What is the critical number that you need from Z Table or T Table whichever is appropriate to solve this problem? (c)  What is the final answer to this problem?

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 A toy manufacturer wants to know how many new toys children buy each year. A sample of 179 children was taken to study their purchasing habits. Construct the 85% confidence interval for the mean number of toys purchased each year if the sample mean was found to be 6.1. Assume that the population standard deviation is 1.4. Round your answers to one decimal place.

(a) Which of the following formulae is the valid formula to find answer to this question? 1. (zCriticalValue×σ)2

error
zCriticalV alue2 × p?× (1 − p?)

2.
3. p?±ztable ×?p?(1−p?)

error2 n

  1. x ± ztable × √σ n

  2. x ± ttable × √s n

  1. (b)  What is the critical number that you need from Z Table or T Table whichever is appropriate to solve this problem?

  2. (c)  What is the final answer to this problem?

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