Provided below are summary statistics for independent simple random samples from two populations. Use the pooled t-test and the pooled t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval. x1=12, s1=2.1, n1=18, x2=15, s2=2.2, n2=18 a. Two-tailed test, α=0.05 b. 95% confidence interval a. First, what are the correct hypotheses for a two-tailed test? H0:μ1=μ2 Ha:μ1≠μ2 Next, compute the test statistic. t=_________________ (Round to three decimal places as needed.)
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Provided below are summary statistics for independent simple random samples from two populations. Use the pooled t-test and the pooled t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval.
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- Provided below are summary statistics for independent simple random samples from two populations. Use the nonpooled t-test and the nonpooled t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval.x1=8,s1=5,n1=15,x2=10,s2=8,n2=15a. Two-tailed test, α=0.01 b. 99% confidence intervalWhat are the hypotheses for the t-test?A. H0: μ1=μ2Ha: μ1<μ2B. H0: μ1=μ2Ha: μ1≠μ2C. H0: μ1≥μ2Ha: μ1<μ2D. H0: μ1=μ2Ha: μ1>μ2 Find the test statistic: t = -0.821 Find the critical values. ±tα/2=±n____________ (Round to three decimal places as needed.)Two groups were selected for an experiment. The sample data is reported: Group A Group B Sample Mean Spending/day ($) 170 150 Sample Standard deviation ($) 10 5 # of Females 9 7 Sample Size 36 42 a. Set up a 99% confidence interval for the mean difference in spending between the two groups. b. At the 10% level test the alternate hypothesis that group B has lower spending level than Group A.PLEASE ANSWER ASAP. The following results come from two independent random samples taken of two populations. Sample 1 Sample 2 N 50 N 30 X 13.4 X 11.6 S 2.3 S 3.1 a. What is the point estimate of the difference between the two population means? (to 1 decimal) b. Provide a 90% confidence interval for the difference between the two population means (to 2 decimals).( , ) c. Provide a 95% confidence interval for the difference between the two population means (to 2 decimals).
- 不 A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. EZCH H n X S b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.The data below are yields for two different types of corn seed that were used on adjacent plots of land. Assume that the data are simple random samples and that the differences have a distribution that is approximately normal. Construct a 95% confidence interval estimate of the difference between type 1 and type 2 yields. What does the confidence interval suggest about farmer Joe's claim that type 1 seed is better than type 2 seed?Type 1 2143 2024 2142 2433 2142 2034 2211 1484 Type 2 2089 1924 2078 2467 2132 1949 2197 1482Provided below are summary statistics for independent simple random samples from two populations. Use the pooled t-test and the pooled t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval. x₁ = 11, S₁ = 2.5, n₁ = 15, x₂ = 14, s₂ = 2.2, n₂ = 15 a. Two-tailed test, α = 0.10 b. 90% confidence interval Ha: H1 H2 Next, compute the test statistic. t= (Round to three decimal places as needed.) Now determine the critical values. ±ta/2= ± What is the conclusion of the hypothesis test? Since the test statistic b. The 90% confidence interval is from to (Round to three decimal places as needed.) (Round to three decimal places as needed.) in the rejection region, Ha: H1 = H₂ Ho. Time Remaining: 01:35:24 NextProvided below are summary statistics for independent simple random samples from two populations. Use the nonpooled t-test and the nonpooled t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval. x1=10, s1=2, n1=10, x2=14, s2=6, n2=10 a. Two-tailed test, α=0.05 b. 95% confidence interval a. What are the hypotheses for the t-test? A. H0: μ1=μ2 Ha: μ1≠μ2 B. H0: μ1≥μ2 Ha: μ1<μ2 C. H0: μ1=μ2 Ha: μ1>μ2 D. H0: μ1=μ2 Ha: μ1<μ2 Find the test statistic. t=_________ (Round to three decimal places as needed.) Find the critical values. ±tα/2=±___________ (Round to three decimal places as needed.) What is the conclusion of the hypothesis test? A. Do not reject H0. There is insufficient evidence that the two means are different. B. Reject H0. There is sufficient evidence that the two means are different. C. Reject H0. There is insufficient evidence that the…Two different simple random samples are drawn from two different populations. The first sample consists of 30 people with 16 having a common attribute. The second sample consists of 2000 people with 1409 of them having the same common attribute. Compare the results from a hypothesis test of p, = p2 (with a 0.01 significance level) and a 99% confidence interval estimate of p, -P2. O A. Ho: P1 SP2 H1: P1 #P2 O B. Ho: P1 *P2 H1: P1 = P2 OC. Ho: P1 = P2 H1: P, > P2 O D. Ho: P1 2 P2 H: P1 +P2 O E. Ho: P1 = P2 H:P1 #P2 OF. Ho: P1 =P2 H;: P13. 01:26:35 The following two-way table shows the distribution of daily traffic and weather issues in a certain large city. Suppose a day from this city is selected at random. Let event A = heavy traffic and event B = bad weather. Are events A and B independent? Daily Traffic No, P(A) = P(B|A). Нeavy Traffic Light Traffic Total O No, P(A) + P(A|B). O Yes, P(A) = P(A|B). O Yes, P(A) + P(B|A). Bad Weather 25 30 Good Weather 55 15 75 Total 80 20 100 Weather ConditionsGive a 99.8% confidence interval, for p1 - p2 given the following information. n1 = 40, ī1 = 2.11, s1 n2 = 30, F2 = 2.09, s2 = 0.58 0.49 Use Technology Rounded to 2 decimal places.Could you please help find p value, conclusion, and the confidence interval claim. Thank you!(2) Choose the one alternative that best completes the statement or answers the question. Assume two independent random samples are available which provide sample proportions. For the first sample assume n₁ = 100 and x₁= 39. For the second sample, assume n₂= 100 and x₂= 49. Test the null hypothesis that the population proportions are equal versus the alternative hypothesis that the proportions are not equal at the 90% confidence level. Frame the test statistic by subtracting the proportion for population 1 from that for population 2. Pick an appropriate z value, p-value and conclusion. Round your answer to the nearest thousandth. Note that this is a two- tailed test. z-value = -1.425 p-value= 0.077 statistically significant z-value = 1.425 p-value= 0.077 statistically significant z-value = -1.425 p-value= 0.077 not statistically significant z-value = 1.425 p-value= 0.154 statistically not significantSEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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