is also called as the 'Average of the first order'. О а. Меan O b. Variability O C. Median O d. Mode
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- Compute for the most appropriate measure of central tendency.A different investor decides to invest $8000 in Fund A and $3000 in Fund B. Assuming the amounts gained by the two funds are independent, what are the mean and standard deviation of the amount gained by this investment in the first month?Suppose that the mean and standard deviation for vertical jump scores are 40 and 6 cm respectively. A York student jumps 52 cm on the vertical score. Translate the student’s jump into a z-score.
- A sample of 76 female workers and another sample of 48 male workers from a state produced mean weekly earnings of $743.50 for the females and $777.63 for the males. Suppose that the population standard deviations of the weekly earnings are $80.05 for the females and $88.68 for the males. The null hypothesis is that the mean weekly earnings are the same for females and males, while the alternative hypothesis is that the mean weekly earnings for females is less than the mean weekly earnings for males. Directions: • Label your answers with the correct statistical symbols. • If you use the Ti, identify which function and values you used to calculate. If you solve by hand, show all steps 2.5 The significance level for the test is 1%. What is/are the critical value(s)? 2.6. What is the value of the test statistic, rounded to three decimal places? 2.7. What is the p-value for this test, rounded to four decimal places? 2. 8. Using the p-value approach, do you reject or fail to reject the null…A sample of 76 female workers and another sample of 48 male workers from a state produced mean weekly earnings of $743.50 for the females and $777.63 for the males. Suppose that the population standard deviations of the weekly earnings are $80.05 for the females and $88.68 for the males. The null hypothesis is that the mean weekly earnings are the same for females and males, while the alternative hypothesis is that the mean weekly earnings for females is less than the mean weekly earnings for males. Directions: • Label your answers with the correct statistical symbols. • If you use the Ti, identify which function and values you used to calculate. If you solve by hand, show all steps. 2.1. Derive the corresponding 95% confidence interval, rounded to two decimal places, for the difference between the mean weekly earnings for all female and male workers in this state. 2.2. What is the point estimate? 2.3. What is E? 2.5. The significance level for the test is 1%. What is/are the critical…Suppose that the weights per bag of cement produced by a company follow a normal distribution. The mean weight is 40 kilograms and the standard deviation is 0.8 kilogram. What would be the new standard deviation if the company wants to have only 1% of the cement produced weighing less than 39 kilograms per bag keeping the mean of 40 kilograms?
- The table below shows a sample of waiting times (in days) for a heart transplant for two age groups. At α=0.05, can you conclude that the variances of the waiting times differ between the two agegroups?The table below shows a sample of waiting times (in days) for a heart transplant for two age groups. At α=0.05, can you conclude that the variances of the waiting times differ between the two age groups?The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1%. When 1.25% or more of the light bulbs in the sample of are defective, the control unit calls repair technicians for service.(a) Find the mean of p, where is the proportion of defective light bulbs in a sample of 4400 when there is no malfunction. (b) Find the standard deviation of p. (c) Compute an approximation for P(p greater than/equal to 0.0125), which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.
- The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1% . When 1.25% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. Find the mean of p , where p is the proportion of defective light bulbs in a sample of 4400 when there is no malfunction. Find the standard deviation of p . Compute an approximation for P≥p0.0125 , which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.A doctor in the oncology department of a hospital surveyed the breathing rateof cancer patients. The mean and standard deviation of breathing rates for a group of patients are 12 and 2.3 breaths per minute, respectively. State the theorem applied"proportion of the patients having breathing rates from 7.4 to 16.6 breaths per minute" and explain why this theorem is chosen.The variance of the weights of the canned food cans produced in a factory has been calculated as 100 grams, and the distribution of the weights follows the normal distribution. As a result of the control, it was determined that approximately 0.0197 of the boxes produced were less than 830 grams and these products were accepted. Calculate the average weight of the can.