Suppose we are dealing with the null hypothesis that the average food expenditure of all families...

Suppose we are dealing with the null hypothesis that the average food expenditure of all families in Atlanta is 20 dollars a day. To test the hypothesis we collect a sample of n = 100. We get the sample mean of 22 and the sample variance of 25. Write down the value of t-statistics and corresponding p-value. Will you reject the null? Explain. Only yes or no answer will not be accepted.

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orchestra answered 1 year ago

In studying the dairy food expenditure of families in a city, random samples of fifty families...

In studying the dairy food expenditure of families in a city, random samples of fifty families and forty families are selected from urban area and rural area, respectively. Selected families from urban area have a mean of $150 and a standard deviation of $30. Selected families from rural area have a mean of $135 and a standard deviation of $25. Construct a 95% confidence interval for the difference of mean daily food expenditure between all families of urban area and...

4. Suppose that we want to test the null hypothesis that the mean of a normal...

4. Suppose that we want to test the null hypothesis that the mean of a normal population with σ2 =1. Ho: μ = 10 vs Ha: μ > 10. Determine the minimum sample size needed to test with β(11) = 0.06.

We wish to test the null hypothesis that the employee benefits (in millions) of all companies...

We wish to test the null hypothesis that the employee benefits (in millions) of all companies in a given industry follows a normal distribution with mean 10 and variance 4. In order to do so, we have observed the benefits for 100 companies, from which 30 had benefits smaller than 8, 50 had benefits between 8 and 13, and the remaining 20 firms had benefits larger than 13. The chi-square test statistic is given by a. 2.53 b.7.38 c. 30.60...

Suppose we are interested in testing null hypothesis that difference of two population means is the...

Suppose we are interested in testing null hypothesis that difference of two population means is the same. Consider two samples collected from a normal population. x 4.2 4.5 4.9 5.6 5.7 5.9 6.1 6.3 6.8 7.1 7.3 7.8 8.4 8.6 9.1 9.7 10.2 y 5.6 5.9 6.5 7.8 8.5 9.3 We need to testH0:x=yvsHa:x̸=yWe can use R-command t.test to compute the p-value and the confidence interval.> x = c ( 4.2 ,4.5,4.9,5.6,5.7 ,5.9, 6.1, 6.3 , 6.8 , 7.1 ,...

Suppose we want to test the null hypothesis H0 : p = 0.28 against the alternative...

Suppose we want to test the null hypothesis H0 : p = 0.28 against the alternative hypothesis H1 : p ≠ 0.28. Suppose also that we observed 100 successes in a random sample of 400 subjects and the level of significance is 0.05. What are the critical values for this test? a. -1.96 and 1.96 b. 0.05 and 0.01 c. -1.39 and 1.39 d. -1.6449 and 1.6449

When we reject a null hypothesis, we are certain that the alternative hypothesis is true. True...

When we reject a null hypothesis, we are certain that the alternative hypothesis is true. True or False

Why do we test the null hypothesis and not our research hypothesis?

Suppose we have multinomial population with four categories: A,B,C, and D. The null hypothesis is that...

Suppose we have multinomial population with four categories: A,B,C, and D. The null hypothesis is that the proportion of items is the same in every category. The null hypothesis is H0: Pa =Pb=Pc=Pd =0.25 A sample of size 300 yielded the following results. A:80 B:85 C:60 D:70 Use alpha=0.05, determine whether H0 should be rejected?

The objective of hypothesis testing is to reject the null hypothesis. How do we use the...

The objective of hypothesis testing is to reject the null hypothesis. How do we use the P-value to accomplish this goal? Describe the difference between One-way versus Two-way ANOVA and provide an example of each.

In hypothesis testing, we can reject a. the null hypothesis. b. the alternative hypothesis. c. both...

In hypothesis testing, we can reject a. the null hypothesis. b. the alternative hypothesis. c. both the null and the alternative hypotheses. d. neither the null and the alternative hypotheses.

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