Average Family Size The average family size was reported as 3.18. A random sample of families in a particular school district resulted in the following family sizes: 3 2 7 5 4 3 6 2 5 4 3 2 7 4 2 5 3 3 2 3 5 At a=0.01, does the average family size differ from the national average? Assume the population is normally distributed. State the hypotheses and identify the claim. H0: H1: Critical value(s):

Test the claim below about the mean of the differences for a population of paired data at the level of significance a. Assume the samples are random and dependent, and the populations are normally distributed. Claim: 0 В. Но На > 0 Ha: Ha s0 O C. Ho: Ha = 0 Ha: Hd #0 D. Ho: Ha <0 Ha: Hd 20 O E. Ho: Hd + 0 Ha: Hd F. Ho: Hd 20 Ha: Hd = 0 <0 The test statistic is t= (Round to two decimal places as needed.)

Use technology and a​ t-test to test the claim about the population mean μ at the given level of significance α using the given sample statistics. Assume the population is normally distributed.   ​Claim: μ>79​; α=0.10     Sample​ statistics: x=80.2​, s=3.7​, n=28 What are the null and alternative​ hypotheses? Choose the correct answer below.     A. H0​:μ≠79 HA​:μ=79   B. H0​:μ=79 HA​:μ≠79   C. H0​:μ≤79 HA​:μ>79   D. H0​:μ≥79 HA​:μ<79   What is the value of the standardized test​ statistic?=   What is the​ P-value of the test​ statistic?=   Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.     A. Reject H0. There is enough evidence to support the claim. Your answer is correct.   B. Reject H0. There is not enough evidence to support the claim.   C. Fail to reject H0. There is enough evidence to support the claim.   D. Fail to reject H0. There is not enough…

use the t- distribution and the sample results to complete the test of the hypothesis. use a 5% significance level. Assume the results come from a random sample , and if the sample size is small, assume the underlying distribution is relatively normal .  H0: miu=4 vs Ha: miu not equal to 4 using the sample results x bar =4.8 s= 2.3 with n=15.   WHAT IS THE P-VALUE?

Use a​ t-test to test the claim about the population mean μ at the given level of significance α using the given sample statistics. Assume the population is normally distributed.   ​Claim: μ=52,500​; α=0.10     Sample​ statistics: x=52,691​, s=1900​, n=17   LOADING... Click the icon to view the​ t-distribution table. What are the null and alternative​ hypotheses? Choose the correct answer below.     A. H0​: μ≠52,500 Ha​: μ=52,500   B. H0​: μ≤52,500 Ha​: μ>52,500   C. H0​: μ=52,500 Ha​: μ≠52,500   D. H0​: μ≥52,500 Ha​: μ<52,500 What is the value of the standardized test​ statistic?   The standardized test statistic is nothing. ​(Round to two decimal places as​ needed.) What​ is(are) the critical​ value(s)?   The critical​ value(s) is(are) nothing. ​(Round to three decimal places as needed. Use a comma to separate answers as​ needed.) Decide whether to reject or fail to reject the null hypothesis.     A. Fail to reject H0.…

Here is an ANOVA Table: Source SS d.f. MS F p-value Among groups 1000 4       Error 3000 56       Total             How many groups were in the study? How many subjects were in the study? Complete the ANOVA table. What is the critical value at 0.01? What conclusion is appropriate?

Use technology and a t-test to test the claim about the population mean at the given level of significance a using the given sample statistics. Assume the population is normally distributed Claim: u > 78; a = 0.01 Sample statistics: × = 79.3, s = 3.6, n = 28 What are the null and alternative hypotheses? Choose the correct answer below. O A. Ho: M = 78 H: 4*78 О c. Ha: u₴78 Hai n< 78 OB. H: 4478 H: M=78 O D. H: 4 s78 H: 4>78   What is the value of the standardized test statistic? The standardized test statistic is__ . (Round to two decimal places as needed.) What is the P-value of the test statistic? P-value=__(Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.

The means of the number of revolutions per minute of two competing engines are to be compared. Thirty engines are randomly assigned to be tested. Both populations have normal distributions. Table 10.4 shows the result. Do the data indicate that Engine 2 has higher RPM than Engine 1? Test at a 5% level of significance. Engine      Sample Mean Number of RPM         Population Standard Deviation  1                      1,500                                                       50  2                      1,600                                                       60

Use technology to help you test the claim about the population mean, u, at the given level of significance, a, using the given sample statistics. Assume the population is normally distributed Claim: 1180; a=0.06: a202.19. Sample statistics x= 1208.77, n=300 Identify the null and alternative hypotheses. Choose the correct answer below. OA H 1208.77 H1208.77 OC. H₂>1208.77 H:Hs 1208.77 OE H:1208.77 H₂>1208.77 Calculate the standardized test statistic The standardized test statistic in (Round to two decimal places as needed) Determine the P-value P= (Round to three decimal places as needed.) Determine the outcome and conclusion of the test Ho. At the 6% significance level, there enough evidence to OB. Hop21180 H₂1180 OD. Hus 1180 H₂>1180 OF H₂1180 Hps 1180 the claim