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):
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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
Population mean=3.18
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- Listed below are the lead concentrations in mu g/g measured in different traditional medicines. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 18 mu g/g. Assume that the sample is a simple random sample. a. Determine the test statistic. (Round to two decimal places as needed.) b. Determine the P-value. (Round to three decimal places as needed.)All Test the claim about the population mean, p, at the given level of significance using the given sample statistics. age Claim: u = 50; a=0.02; o= 3.06. Sample statistics: x= 49.8, n 75 Identify the null and alternative hypotheses. Choose the correct answer below. gat O A. H, p 50 O C. H,: H> 50 Ha: u= 50 O D. Ho: H#50 Ha p= 50 OF Ho H=50 Ha:p< 50 E. H, H= 50 H3 u#50 Calculate the standardized test statistic. The standardized test statistic is -0.57. (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) O A. The critical value is. O B. The critical values are +Assume that a simple random sample has been selected from a normally distributed population. State the final conclusion.Test the claim that the mean lifetime of car engines of a particular type is greater than 220,000 miles. Sample data are summarized as n = 23, and s = 11,500 miles. Use a significance level of α = 0.01.H0: μ = 220,000 HA: μ > 220,000State your conclusion about H0. Choose the best answer below: A. Reject HA B. Do not reject H0 C. Do not reject HA D. Reject H0 E. Cannot draw a conclusion for information given
- 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?
- B. PROBLEM SOLVING: Determine the z-value for each of the following x values for a normal distribution with u = 17 and o = 4. 6. x = 46 7. x = 7 8. x = 3 9. x = 17 10. x = 30 1. x = 13 2. x = 9 3. х%3D 23 4. x = 26 5. x = 18 DTECHNOLOGE AND PHILIPUse a t-test to test the claim about the population mean μ at the given level of significance a using the given sample statistics. Assume the population is normally distributed. Claim: μ = 51,100; x = 0.01 Sample statistics: x=51,527, s=2800, n=20 Click the icon to view the t-distribution table. What are the null and alternative hypotheses? Choose the correct answer below. OA. Ho: 251,100 Hgia 51,100 What is the value of the standardized test statistic? The standardized test statistic is. (Round to two decimal places as needed.) t-Distribution Table d.f. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 45 50 60 70 80 90 100 500 1000 30 d.f. Level of confidence, c One tail, a Two tails, a B. Ho: 51,100 H₂:51,100 Level of O D. Ho: μ*51,100 H₂:μ=51,100 0.99 0.80 0.90 0.95 0.98 0.10 0.05 0.025 0.01 0.005 0.20 0.10 0.05 0.02 0.01 d.f. 3.078 6.314 12.706 31.821 63.657 1 1.886 2.920 4.303 6.965 9.925 2 1.638 2.353 3.182 4.541 5.841…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
