To study whether a new drug was effective in treating patients than a placebo (f

Question

To study whether a new drug was effective in treating patients than a placebo (fake drug), 7 patients were given either the drug or a placebo for two separate asthmatic. After one hour an asthmatic index was obtained. Lower asthmatic indices mean the treatment is more effective. The results are given below: Which type of hypothesis test should be used for this study? A. Test of a single mean B. Test of two population means, independent groups C. Test of two population proportions, independent groups D. Matched or paired samples At the 2% level of significance, we can conclude that A. the placebo was more effective than the new drug. B. the new drug was more effective than the placebo. C. the new drug was not more effective than the placebo. D. the effectiveness of the new drug was different than the effectiveness of the placebo. Which of the following would indicate that a dataset is not bell-shaped? A. There are no outliers. B. The data are skewed. C. The median is much smaller than the standard deviation. D. The standard deviation is larger than the mean.

Explanation / Answer

An independent sample t-test assuming equal variances was carried out in excel,

Data-->Data Analysis -->t-test two sample assuming equal variances

The output is

Ho:The new drug is not better than the placebo.

Ha:The new drug is better than the placebo.

Significance level =0.05

Test statistic = -0.8146

p-value 0.7184

Q33) Answer -option B(Test of two population mean -independent groups).

q34) option c (new drug was not more effective than placebo)

Q35)Skewness indicates shift from the symmetrical distribution and thus shift from the assumption of normal distribution. --option B

t-Test: Two-Sample Assuming Equal Variances Drug Placebo Mean 24.28571 27.429 Variance 70.57143 33.619 Observations 7.00000 7 Pooled Variance 52.09524 Hypothesized Mean Difference 0.00000 df 12.00000 t Stat -0.81463 P(T<=t) one-tail 0.2156 t Critical one-tail 1.78229 P(T<=t) two-tail 0.43116 t Critical two-tail 2.17881

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