Question4: The administrator of the Grace Maternity hospital claims that the mean number of births per day on the maternity ward is 3.5. In a sample of 36 days, the mean number of births was 3.14 with a standard deviation of 1.2. 1) What is the value of the test statistic? O -0.25 O -0.3 O -1.5 O -1.8 O -9.0 O -10.8 Submit Answer Tries 0/2 2) Find a 90% confidence interval for the mean number of births per day. O (0.79,5.49) O (1.17,5.11) O (2.80,3.48) O (2.60,3.26) Submit Answer Tries 0/2 3) A similar study was conducted at the maternity ward in the Calgary Grace hospital. The null hypothesis was again that the true mean was 3.5 births per day, and the alternative was that the mean was greater than 3.5. A sample of size 18 was used, and the value of the test statistic was 2.898. What is the p-value of this test? O 0.017 O 0.025 O 0.975 O 0.005 Submit Answer Tries 0/2Question5: The level of calcium in the blood of healthy young adults varies with a population mean of about 9.5 milligrams per deciliter. A clinic in rural Guatemala measures the blood calcium level of 180 healthy pregnant women at their first visit for prenatal care. The sample mean is 9.54 and sample standard deviation is 0.4. Is this an indication that the mean calcium level in the population from which these women come is greater than 9.5? 1) What is the alternative hypothesis? O mu=9.5 mu not equal to 9.5 O mu >9.5 mu 0.05 Submit Answer Tries 0/2 4) What is your conclusion when testing at level .05? O Reject HO O Do not reject HO Submit Answer Tries 0/15) Find a 90% confidence interval for the mean. 0 (8.55,10.61) O (B.80,10.36) 0 (950,966) 0 (949,959) SubmltAnswer Tries 0/2 6) Would you expect a 99% confidence interval for the mean to be wider or narrower than the 90% interval? 0 Narrower O Wider 0 can't tell Submit Answer Tries 0/1 7) A similar study conducted in rural Panama found a 99% condence interval for the mean calcium level as (945,997). Based on that, would you reject the hypothesis that the true mean calcium content in the associated population equals 9.5, when testing at level .01? 0 YES 0 NO Submit Answer Tries 0/1 A college admissions director wishes to estimate the mean age of all students currently enrolled. In a random sample of 22 students, the mean age is found to be 22.7 years. From past studies, the ages of enrolled students are normally distributed with a standard deviation of 9.5 years. Construct a 90% confidence interval for the mean age of all students currently enrolled. 1. The critical value: Submit Answer Tries 0/5 2. The standard deviation of the sample mean: Submit Answer Tries 0/5 3. The margin of error: Submit Answer Tries 0/5 4. The lower limit of the interval: Submit Answer Tries 0/5 5. The upper limit of the interval: Submit Answer Tries 0/5Determine the minimum sample size required when you want to be 95% condent that the sample mean is within 1.5 unites of the population mean. Assume that the population is normally distributed with standard deviation 0 : 4.8. 1. The critical value: Submit Answer Tries 0/5 2. The margin of error: Submit Answer Tries [1/5 3. The sample size: Submit Answer Tries 0/5 In a random sample of 12 senior-level chemical engineers, the mean annual earnings was 121200 and the standard deviation was 34380. Assume the annual earnings are normally distributed and construct a 95% confidence interval for the population mean annual earnings for senior-level chemical engineers. 1. The critical value: Submit Answer Tries 0/5 2. The standard error of the sample mean: Submit Answer Tries 0/5 3. The margin of error: Submit Answer Tries 0/5 4. The lower limit of the interval: Submit Answer Tries 0/5 5. The upper limit of the interval: Submit Answer Tries 0/5