A researcher is interested in finding a 95% confidence interval for the mean number of times per day that college students text. The study included 104 students who averaged 45.1 texts per day. The standard deviation was 12.8 texts. Round answers to 3 decimal places where possible. a. To compute the confidence interval , (which one should be used t or z) distribution. b. With 95% confidence the population mean number of texts per day is between and texts. c. If many groups of 104 randomly selected members are studied, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population number of texts per day and about percent will not contain the true population mean number of texts per day.
A researcher is interested in finding a 95% confidence interval for the mean number of times per day that college students text. The study included 104 students who averaged 45.1 texts per day. The standard deviation was 12.8 texts. Round answers to 3 decimal places where possible.
a. To compute the confidence interval , (which one should be used t or z) distribution.
b. With 95% confidence the population mean number of texts per day is between and texts.
c. If many groups of 104 randomly selected members are studied, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population number of texts per day and about percent will not contain the true population mean number of texts per day.
Given Information:
Confidence level = 95% = 0.95
Sample size (n) = 104
Sample mean () = 45.1
Sample Standard deviation (s) = 12.8
Significance level
(a) To compute the confidence interval, we use t-distribution. Since, population standard deviation is not known.
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