Consider the following hypothesis test. Ho:H = 15 H:u # 15 A sample of 50 provided a sample mean of 14.09. The population standard deviation is 3. (a) Find the value of the test statistic. (Round your answer to two decimal places.) (b) Find the p-value. (Round your answer to four decimal places.) p-value = (c) At a = 0.05, state your conclusion. Reject Ho. There is sufficient evidence to conclude that µ # 15. Reject Ho. There is insufficient evidence to conclude that u # 15. O Do not reject Họ. There is sufficient evidence to conclude that u # 15.
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- Choose the correct answerThe distribution of heights in a population of women is approximately normal. Sixteen percent of the women have heights less than 62 inches. About 97.5% of the women have heights less than 71 inches. Use the empirical rule to estimate the mean and standard deviation of the heights in this population. Mean: K inches Standard Deviation: inchesUse z scores to compare the given values. The tallest living man at one time had a height of 238 cm. The shortest living man at that time had a height of 142.4 cm. Heights of men at that time had a mean of 175.45 cm and a standard deviation of 5.59 cm. Which of these two men had the height that was more extreme? ... Since the z score for the tallest man is z = 0 and the z score for the shortest man is z = the man had the height that was Im- more extreme. (Round to two decimal places.) shortest tallest
- The percentage of vehicles on a freeway that violate the speed limit is π = 0.88 You randomly clock n = 80 vehicles. 34 In the previous question, what is the standard deviation of the number of vehicles violating the speed limit? a 2.761 b 2.907 c 3.060 d 3.221Consider a value to be significantly low if its z score less than or equal to - 2 or consider a value to be significantly high if its z score is greater than or equal to 2. A test is used to assess readiness for college. In a recent year, the mean test score was 21.8 and the standard deviation was 5.1. Identify the test scores that are significantly low or significantly high. What test scores are significantly low? Select the correct answer below and fill in the answer box(es) to complete your choice. O A. Test scores that are less than (Round to one decimal place as needed.) O B. Test scores that are greater than (Round to one decimal place as needed.) C. Test scores that are between and (Round to one decimal place as needed. Use ascending order.)Plz help asap t7.
- Are you smarter than a second-grader? A random sample of 59 second-graders in a certain school district are given a standardized mathematics skills test. The sample mean score is X=56. Assume the standard deviation of test scores is o= 15. The nationwide average score on this test is 50. The school superintendent wants to know whether the second-graders in her school district have greater math skills than the nationwide average. Use the a = 0.05 level of significance and the P-value method with the TI-84 calculator. Answer the following questions.A national polling organization conducted a survey asking people whether they would consider buying an electric car if petrol prices continue to rise. In the low-income sample of 200 people asked, 175 said they would not buy an electric car no matter how high petrol prices rise. In the high-income sample of 200 people asked, 127 responded the same. The 95% confidence interval for the difference in proportion of low income people and high income people who would never consider buying an electric car no matter how high the price of petrol got (rounded off to three decimals) is: A. [0.173 : 0.307] B. [0.145 : 0.335] C. [0.159 : 0.321] D. [0.172 : 0.308]Are you smarter than a second-grader? A random sample of 57 second-graders in a certain school district are given a standardized mathematics skills test. The sample mean score is x =46. Assume the standard deviation of test scores is o = 15. The nationwide average score on this test is 50. The school superintendent wants to know whether the second-graders in her school district have weaker math skills than the nationwide average. Use the a=0.05 level of significance and the P-value method with the TI-84 calculator. Part: 0/ 4 Part 1 of 4 State the appropriate null and alternate hypotheses. H: OConsider a value to be significantly low if its z score less than or equal to - 2 or consider a value to be significantly high if its z score is greater than or equal to 2. A test is used to assess readiness for college. In a recent year, the mean test score was 21.8 and the standard deviation was 4.6. Identify the test scores that are significantly low or significantly high. What test scores are significantly low? Select the correct answer below and fill in the answer box(es) to complete your choice. O A. Test scores that are greater than (Round to one decimal place as needed.) O B. Test scores that are less than (Round to one decimal place as needed.) O C. Test scores that are between and (Round to one decimal place as needed. Use ascending order.)E= Over the years, the mean customer satisfaction rating at a local restaurant has been 65. The restaurant was recently remodeled, and now the management claims the mean customer rating, u, is not equal to 65. In a sample of 32 customers chosen at random, the mean customer rating is 76.2. Assume that the population standard deviation of customer ratings is 22.8. Is there enough evidence to support the claim that the mean customer rating is different from 65? Perform a hypothesis test, using the 0.10 level of significance. (a) State the null hypothesis H, and the alternative hypothesis H,. Ho Aa OClaim: The mean systolic blood pressure of all healthy adults is less than than 125 mm Hg. Sample data: For 266 healthy adults, the mean systolic blood pressure level is 124.47 mm Hg and the standard deviation is 15.29 mm Hg. The null and alternative hypotheses are Ho: μ = 125 and H₁: µ< 125. Find the value of the test statistic. C The value of the test statistic is. 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