Will a large-sample confidence interval be valid if the population from which the sample is taken is not normally distributed? Explain.
A. Yes. As long as a sample is sufficiently large that the Central Limit Theorem applies, the confidence interval will be valid regardless of the shape of the population distribution.
B. No. Confidence intervals require at least an approximately normal distribution to be valid.
C. Yes. Confidence intervals are always valid regardless of the shape of the population distribution.
D. No. A small-sample confidence interval is more likely to be valid, but as the sample size increases, the confidence interval will be affected more and more by the shape of the population distribution.
Q2:
Health care workers who use latex gloves with glove powder on a daily basis are particularly susceptible to developing a latex allergy. Each in a sample of 41 hospital employees who were diagnosed with a latex allergy based on a skin-prick test reported on their exposure to latex gloves. Summary statistics for the number of latex gloves used per week are x̄= 19.2 and s = 12.2. Give a point estimate for the average number of latex gloves used per week by all health care workers with a latex allergy.
A. 20.2
B. 41
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