1. The leader of the association of jeepney drivers claimed that the average daily take home pay of jeepney drivers in La Trinidad during the second year of the pandemic is Php 600.00 with a population standard deviation of 3.75. A random sample of 80 jeepney drivers was interviewed and it came out that their average daily take home pay is Php 550.00. At 0.05 level of significance, test if the average daily take home pay of jeepney drivers in La Trinidad is different from Php 600,00.

The mean and standard deviation of hemoglobin level of 23 vibrant students and 21 school children were found to be 10g/dl,2.2g/dl and 14g/dl, 2.2g/dl respectively.is there statistically significant difference with the average hemoglobin of the two groups?

4) At one college, GPA's are normally distributed with a mean of 2.9 and a standard deviation of 0.4. What percentage of students at the college have a GPA between 2.5 and 3.3?

The authors of the paper "Length of Stay, Wait Time to Surgery and 30-Day Mortality for Patients with Hip Fractures After Opening of a Dedicated Orthopedic Weekend Trauma Room"† were interested in estimating the mean time that patients who broke a hip had to wait for surgery after the opening of a new hospital facility. They reported that for a representative sample of 204 people with a fractured hip, the sample mean time between arriving at the hospital and surgery to repair the hip was 28.5 hours and that the sample standard deviation of the wait times was 16.8 hours. If we had access to the raw data (the 204 individual wait-time observations), we might begin by looking at a boxplot. The authors of the paper commented that there were several outliers in the data set, which might cause us to question the normality of the wait-time distribution, but because the sample size is large, it is still appropriate to use the t confidence interval. We can use the confidence interval of this…

The authors of the paper "Length of Stay, Wait Time to Surgery and 30-Day Mortality for Patients with Hip Fractures After Opening of a Dedicated Orthopedic Weekend Trauma Room"† were interested in estimating the mean time that patients who broke a hip had to wait for surgery after the opening of a new hospital facility. They reported that for a representative sample of 204 people with a fractured hip, the sample mean time between arriving at the hospital and surgery to repair the hip was 28.5 hours and that the sample standard deviation of the wait times was 16.8 hours. If we had access to the raw data (the 204 individual wait-time observations), we might begin by looking at a boxplot. The authors of the paper commented that there were several outliers in the data set, which might cause us to question the normality of the wait-time distribution, but because the sample size is large, it is still appropriate to use the t confidence interval. We can use the confidence interval of this…

Suppose that the amount of time per day that American adults spend on their mobile devices is normally distributed with mean 229 minutes and standard deviation 57 minutes.   What percentage of American adults spend between 120 and 180 minutes on their mobile devices per day? What percentage of American adults spend less than 60 minutes on their mobile devices per day?

The National Center for Health Statistics reports that the systolic blood pressure for males 35 to 44 years of age has mean 28mm Hg and standard deviation 15 mm Hg. The medical director of a large company looks at the medical records of 72 executives in this age group and finds that the mean systolic blood pressure in this sample is x = 126.07 mm Hg. At a 5% significance level, the data fail to show significant evidence that the mean blood pressure of a population of executives differs from the national mean = 128 mm Hg. The medical director now wonders if the test used would detect an important difference if one were present. Use the applet to calculate the power of the test against the alternative μ = 122 mm Hg. Provide your answer to three decimal places. Power =

Among n=15 randomly selected participants of a hypothetical study, cholesterol was measured at Exam 1 and Exam 2. The mean difference in cholesterol between the two exams was -15.5 units and the standard deviation was 22.8 units. Differences were computed by subtracting the Exam 1 from Exam 2 value. Is there a statistically significant difference in mean cholesterol measured at Exam 1 and Exam 2 of the study?

8. The mean life time of sample of 100 light bulbs produced by a company is computed to be 1570 hours with standard deviation of 120 hours. The xltdcompany claims that the average life of the bulbs produced by it is 1600 hours. Using the level of significance of 0.05, is the claim acceptable ?

3. Consumer Reports indicated that the mean braking distance (from 60 miles per hour) on wet pavement for the Mercury Sable was 159 feet. Suppose that Sables equipped with tires having a new tread designed to grip the road better on wet pavement are used in 45 tests. The sample mean braking distance was 150 feet with sample standard deviation of 26.5 feet. Does this information indicate that the mean braking distance for Mercury Sables on wet pavement is reduced for the new tire tread? Use a=.05 level of significance. ha Step 1: State Hypotheses (make sure you use the right symbol, the right signs for this problem, and I have the right numerical value for the hypothesis) H₂: H₁: Step 2: Test Statistic (copy the correct formula from the cho