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StatisticsQ&A LibraryBased on interviews with86SARS patients, researchers found that the mean incubation period was 4.7days, with a standard deviation of 14.7days. Based on this information, construct a 95% confidence interval for the mean incubation period of the SARS virus. Interpret the interval.The lower bound isnothingdays. (Round to two decimal places as needed.)Question

Asked Nov 16, 2019

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Based on interviews with

days. Based on this information, construct a 95% confidence interval for the mean incubation period of the SARS virus. Interpret the interval.

86

SARS patients, researchers found that the mean incubation period was 4.7days, with a standard deviation of 14.7days. Based on this information, construct a 95% confidence interval for the mean incubation period of the SARS virus. Interpret the interval.

The lower bound is

nothing

days. (Round to two decimal places as needed.)Step 1

**Confidence interval when population standard deviation is not known:**

The formula of confidence interval for the population mean when population standard deviation is not given is as follows.

Step 2

**Computing the 95% confidence interval for population mean:**

Here, the sample mean (*x-*bar) is 4.7 days.

The sample standard deviation (*s*) is 14.7 and the sample size, *n * is 86.

The confidence level is 0.95.

Thus, the level of significance, *α* is 0.05 (= 1 – 0.95).

The degrees of freedom (*n* − 1) is 85 (=86 − 1).

For 95% confidence interval, the critical value (*t*) is obtained as **1.988** using the EXCEL formula, (=T.INV.2T(0.05,85)).

Step 3

By substituting the values in the confidence interval formula, the 95% confidence i...

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