The following data represent the age (in weeks) at which babies first crawl base

Question

The following data represent the age (in weeks) at which babies first crawl based on a survey of 12 mothers a) Because the sampla size is smal, ws must varify that the data come from a population that is normally distributed and that the sample size does not contain any outlers. Are the condtions for constructing a confidence Interval abou: the mean satisfied? 30 35 A. Yes, the population is normally distributed and the sample does not conta in any outliers. B. Peroent No, the sample contains an outlier C. No, tho population is not normally distributed (b) Construct a 95% confidence interval for the mean age at which a baby first crawls. Select the correct choice below and fill in any answer boxes in your choice 0 20 40 0 Age in wceksy Mean 38 .5050 C% (Use ascending order. Round to one decimal place as needed.) B. A 95% confidence interval cannot be constructed. StDev-10.58 Click the icon to view the table of areas under the t-distribution.

Explanation / Answer

Solution:- Given that information: mean = 38.42, SD = 10.58, n = 12
df = 11
t = 2.201

=> 95% confidence interval for the mean = X +/- t*s/sqrt(n)
= 38.42 +/- 2.201*10.58/sqrt(12)
= 31.6977 , 45.1423
= 31.7 , 45.1

=> option A. (31.7,45.1)

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