The adult eastern hellbender (a type of giant salamander) has a length which is normally distributed with a mean of 31.8 cm and a standard deviation of 2.7 cm, while the adult Ozark hellbender has a length which is normally distributed with a mean of 34.9 and a standard deviation of 4.5.
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- A music school has budgeted to purchase three musical instruments. They plan to purchase a piano costing $3,000, aguitar costing $550, and a drum set costing $600. The mean cost for a piano is $4,000 with a standard deviation of $2,500.The mean cost for a guitar is $500 with a standard deviation of $200. The mean cost for drums is $700 with a standarddeviation of $100. Which cost is the lowest, when compared to other instruments of the same type? Which cost is the highestwhen compared to other instruments of the same type. Justify your answer.As part of a study of corporate employees, the director of human resources for PNC Inc. wants to compare the distance traveled to work by employees at its office in downtown Cincinnati with the distance for those in downtown Pittsburgh. A sample of 35 Cincinnati employees showed they travel a mean of 370 miles per month. A sample of 40 Pittsburgh employees showed they travel a mean of 380 miles per month. The population standard deviations for the Cincinnati and Pittsburgh employees are 30 and 26 miles, respectively. At the 0.05 significance level, is there a difference in the mean number of miles traveled per month between Cincinnati and Pittsburgh employees?The mean height for baby African giraffes is = 68.5 inches, with a standard deviation of = 3 inches. The mean height for baby zebras is 62.7 inches, with a standard deviation of = 2.7 inches. Which animal is taller relative to their own species, a baby giraffe 75 inches tall, or a baby zebra 68 inches tall?
- In a certain town (A), a family’s mean weekly grocery spending is $350 with a standard deviation of $25. In a second town (B), the mean is $475 with a standard deviation of $15. A person in Town A has a weekly grocery budget of $365, and a person in Town B has a weekly budget of $480. Which person spends more on groceries, relative to the others in their communities?The completion time for male Olympic marathon runners is approximately normally distributed with a mean of 140.59 minutes and a standard deviation of 8.01 minutes. The completion time for female Olympic marathon runners is approximately normally distributed with a mean of 156.14 minutes and a standard deviation of 9.62 minutes. A runner's time was recorded as 157.90 minutes but their gender was not recorded. Given that it is unusual for an observation to fall more than two standard deviations from the mean in an approximately normal distribution, which of the following statements is true? (A) The time of 157.90 minutes would be considered unusual for both male and female Olympic marathon runners. (B) The time of 157.90 minutes would not be considered unusual for either male or female Olympic marathon runners. (C) The time of 157.90 minutes would be considered unusual for male but not for female Olympic marathon runners. (D) The time of 157.90 minutes would be considered unusual for…A coffee manufacturer is interested in whether the mean daily consumption of regular-coffee drinkers is less than that of decaffeinated-coffee drinkers. Assume the population standard deviation for those drinking regular coffee is 1.36 cups per day and 1.49 cups per day for those drinking decaffeinated coffee. A random sample of 46 regular-coffee drinkers showed a mean of 4.50 cups per day. A sample of 37 decaffeinated-coffee drinkers showed a mean of 5.05 cups per day. Use the 0.05 significance level
- A grocery store's sales experience indicates that its daily apple sales follow a normal distri- bution with a mean of 60 and a standard deviation of 15.A coffee manufacturer is interested in whether the mean daily consumption of regular-coffee drinkers is less than that of decaffeinated-coffee drinkers. Assume the population standard deviation for those drinking regular coffee is 1.24 cups per day and 1.44 cups per day for those drinking decaffeinated coffee. A random sample of 49 regular-coffee drinkers showed a mean of 4.57 cups per day. A sample of 39 decaffeinated-coffee drinkers showed a mean of 5.17 cups per day. Use the 0.025 significance level. Is this a one-tailed or a two-tailed test? One-tailed test. Two-tailed test. State the decision rule. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.) Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.) What is the p-value? What is your decision regarding H0? Reject H0. Do…A coffee manufacturer is interested in whether the mean daily consumption of regular-coffee drinkers is less than that of decaffeinated-coffee drinkers. Assume the population standard deviation for those drinking regular coffee is 1.37 cups per day and 1.47 cups per day for those drinking decaffeinated coffee. A random sample of 47 regular-coffee drinkers showed a mean of 4.39 cups per day. A sample of 40 decaffeinated-coffee drinkers showed a mean of 5.78 cups per day. Use the 0.010 significance level.a. State the null and alternate hypotheses.multiple choice 1 a) H0: μRegular ≥ μDecaf H1: μRegular < μDecaf b) H0: μRegular < μDecaf H1: μRegular < μDecaf c) H0: μRegular < μDecaf H1: μRegular ≥ μDecaf b. Compute the test statistic. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) c. Compute the p-value. NOTE: P-value calculators are available through online search. d. What is your decision regarding the null…
- Please do not give solution in image format thanku Load "diabetes" datasets from SKlearn and do the PCA for n=3, and plot the data. 1. What is the variance (%) covered by the first 3 components? How is this percentage of variance computed? 2. Is there any correlation between these three components? 3. Apply t-SNE on the same dataset, select the first 3 components and plot them. 4. Report the comparison between the results obtained using t-SNE and PCSteve believes that his wife's cell phone battery does not last as long as his cell phone battery. On ten different occasions, he measured the length of time his cell phone battery lasted and calculated that the mean was 24.1 hours with a standard deviation of 10.3 hours. He measured the length of time his wife's cell phone battery lasted on eight different occasions and calculated a mean of 16.8 hours with a standard deviation of 7.8 hours. Assume that the population variances are the same. Let Population 1 be the battery life of Steve's cell phone and Population 2 be the battery life of his wife's cell phone. Step 2 of 2: Interpret the confidence interval obtained in Step 1. Answer 1 Point E Tables E Keypad Keyboard Shortcuts O Since the confidence interval contains zero, the data do not provide evidence that the population means are unequal at a 99% confidence level. Since the confidence interval does not contain zero, the data do not provide evidence that the population means are…A coffee manufacturer is interested in whether the mean daily consumption of regular-coffee drinkers is less than that of decaffeinated-coffee drinkers. Assume the population standard deviation for those drinking regular coffee is 3.00 cups per day and 3.16 cups per day for those drinking decaffeinated coffee. A random sample of 68 regular-coffee drinkers showed a mean of 4.44 cups per day. A sample of 58 decaffeinated-coffee drinkers showed a mean of 5.93 cups per day. Use the 0.010 significance level. a. Compute the test statistic. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) b. Compute the p-value. (Round your answer to 4 decimal places.)