The followings are the questions I have trouble to answer. I am appreciated for

Question

The followings are the questions I have trouble to answer. I am appreciated for your help.

1.Sample mean, sample proportion, and sample variance are, respectively,unbiased estimators of population mean, population proportion, and population variance. (True/ False)

2.A statistics professor has claimed that her students will average more than 72 points in the final exam. If you wish to test this claim, you would formulate the following null and alternative hypotheses: H0 : µ = 72 vs Ha : µ 6= 72.(True/ False)

3. When we use the t-distribution in comparing two population means with small samples, both sampled populations must be approximately normal and the random samples must be selected independently of each other.(True/ False)

4. An F distribution is the sampling distribution of the ratio of two sample means.(True/ False)

5.Analysis of variance (ANOVA) is a statistical technique we use to test the hypothesis that a set of two or more population (or treatment) means are equal. (True/ False)

Sample mean, sample proportion, and sample variance are, respectively, unbiased estimators of population mean, population proportion and population variance. (a) True (b) False A statistics professor has claimed that her students will average more than 72 points in the final exam. If you wish to test this claim. you would formulate the following null and alternative hypotheses Ho Au 72 vs Ha Au 72. (a) True (b) False When we use the t-distribution in comparing two population means with small samples, both sampled populations must be approximately normal and the random samples must be selected independently of each other (a) True (b) False An F distribution is the sampling distribution of the ratio of two sample means. (a) True (b) False Analysis of variance (ANOVA) is a statistical technique we use to test the hypothesis that a set of two or more population (or treatment) means are equal. (a) True (b) False

Explanation / Answer

Solution1:

true

with sample mean one can estimate populaation mean mu

with sample variance one can esimate population vaiance

with sample proportion one can estimate population proportion

Solution2:

False

Null hypothesis:

Ho:mean=72

Alternative Hypothesis

Ha: mean >72

ALternative Hypothesis is claim

Solution3:

True

for n<30 t distribution holds good and assumptions are

random,normal

Solution4:

FALSE

The sampling distribution of the ratio of independent sample variances is F

its not for means

The F test is based on the ratio of two variances

SOLUTION5:

TRUE

ANOVA IS USED TO TEST MORE THAN TWO MEANS

NULL HYPOTHESIS for anova

H0:mean1=mean2=mean3=mean4

alternative hypothesis

atleast one of the means are different

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