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- An article includes the accompanying data on compression strength (lb) for a sample of 12-oz aluminum cans filled with strawberry drink and another sample filled with cola. Beverage Sample Size Sample Mean Sample SD Strawberry Drink 10 535 24 Cola 10 559 15 Does the data suggest that the extra carbonation of cola results in a higher average compression strength? Base your answer on a P-value. (Use ? = 0.05.) State the relevant hypotheses. (Use ?1 for the strawberry drink and ?2 for the cola.) H0: ?1 − ?2 = 0Ha: ?1 − ?2 ≥ 0H0: ?1 − ?2 = 0Ha: ?1 − ?2 ≠ 0 H0: ?1 − ?2 = 0Ha: ?1 − ?2 < 0H0: ?1 − ?2 = 0Ha: ?1 − ?2 > 0 Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value = State the conclusion in the problem context. Reject H0. The data suggests that cola has a higher average compression strength than the strawberry drink.Reject H0. The…If a 95% CI for mu is (1.05, 3.95) when sigma is known a Ztest at alpha=0.05 with a Null hypothesis: mu=1 would reject the Alternative hypothesis True or FalseBased on the information provided in the image, what is the result of your hypothesis test (a=0.01, one tail)?
- We ask a random sample of 1000 New Zealanders their opinion on whether New Zealand should become a republic with a president replacing the Queen as head of state and 350 answer ‘yes’. We are testing the following pair of hypotheses for the value of p, the true proportion of New Zealanders who think that New Zealand should become a republic with a president replacing the Queen as head of state: H0: p = 0.40 Ha: p > 0.40 Select the correct value (to 3 decimal places) of the z-test statistic for this sample from the list below. Select one: a.3.315 b.-3.227 c.-3.315 d.3.227A research center claims that that 31% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1200 adults in that country, 33% say that would travel into space on a commercial flight if they could afford it. At alpa= 0.05, isthere enough evidence to reject the research centers claim complete parts a through d belowSuppose that the 101 randomly selected eighth-grade students (mentioned in question 6) took a “practice” test similar to the official standardized test a month before the official test was administered. The researchers reported that the (two-tailed) statistical test of the difference between the practice and official test scores resulted in t100 = -2.32, p < .05. (a) Given that the difference score was computed as D = (practice score – official score), do the reported results indicate that students scored significantly higher or lower on the official test relative to the practice test? Explain. (b) If we constructed the corresponding 95% confidence interval for the mean difference (between the practice and official test scores) in the population, would it include zero? Explain.
- A group of Sports Science students (n = 20) are selected from the population to investigate whether a 12-week plyometric-training programmed improves their standing long jump performance. In order to test whether this training improves performance, the students are tested for their long jump performance before they undertake a plyometric-training programme and then again at the end of the programmed .The following table present the results of before and after the training programmed. Test the claim that their long jump performance is higher after the training. Student Number (Before the training) Jump1 (After the training) Jump2 1 2.25 2.24 2 2.42 2.48 3 2.26 2.29 4 2.58 2.62 5 2.62 2.64 6 2.16 2.18 7 2.40 2.44 8 2.62 2.67 9 2.35 2.39 10 2.44 2.47 Follow the steps in hypothesis testing. Answer the following. What is the appropriate statistical test to use?…A research center claims that 26% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 700 adults in that country, 28% say that they would travel into space on a commercial flight if they could afford it. At α=0.10, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below.In a hypothesis test with hypotheses Ho: μ ≤ 54 and H1: μ > 54, a random sample of 24 elements selected from the population produced a mean of 58.6 and a standard deviation of 13.4. The test is to be made at the 10% significance level. Assume the population is normally distributed. What is the critical value of t ?
- What is the z-score if mu = 89 , sigma=11.5, and x = 82 ?Which of the following statement is CORRECT? A. If the null hpothesis is false, the sample means are considered the same. B. μ(mu)1 will never be equal to μ(mu)2 C. If the null hypothesis is true, there is a difference between population means. D. If the null hypothesis is true, there is no difference between the population means.28- Sick leave of employees in a factory before and after Covid-19 was investigated in a year. Which of the following is the statistical decision in the hypothesis of whether there is a difference between the sick leaves of the employees? (The data do not satisfy the parametric assumption).