A random sample of 10 observations was selected from a normal population distrib

Question

A random sample of 10 observations was selected from a normal population distribution. sample mean and sample standard deviations were 20 and 3.2, respectively. A 90% prediction interval for a single observation selected from the same population is a. 20 plusminus 4.244 b. 20 plusminus 6.152 c. 20 plusminus 7.592 d. 20 plusminus 7.962 e. None of the above answers are correct. Which of the following statement are not true if t denotes the density function curve for a t-distribution with v degrees of freedom? a. The t-distribution is governed by v b. Each t_v curve is more spread out than the standard normal z curve. c. As v increases, the spread of the corresponding t_v curve increases. d. Each t_v curve is bell-shaped and centered around 0. Which of the following statements are not correctly stated? a. In our treatment of hypothesis testing, the null hypothesis will always be stated as an equality claim. b In many situations, the alternative hypothesis H is referred to as the "research hypothesis" since is the claim that the researcher would really like to validate. c. The two possible conclusions from a hypothesis-testing analysis are rejecting the null hypothesis H_0 or accepting H_0. d. A test statistic is a rule, based on sample data, for deciding whether to reject the null hypothesis.

Explanation / Answer

from above :std error of prediction interval =std deviation*(1+1/n)1/2 =3.356

for 95% CI, and 9 degree of freedom t=1.8331

hence confidence interval =mean +/- t*std error =13.8477 ; 26.1523

11)option C

12)option C

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