At 5% significance level, the probability of accepting H0 when the real value of the population mean = 12 is closest to Group of answer choices 0.5 0.1539 0.95 0.05
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A random sample {x1,x2, ..., x16} is selected from a
At 5% significance level, the probability of accepting H0 when the real value of the population mean = 12 is closest to
Group of answer choices
0.5
0.1539
0.95
0.05
0.6539.
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- Daily Driving The average number of miles a person drives per day is 24. A researcher wishes to see if people over age 60 drive less than 24 miles per day. She selects a random sample of 32 drivers over the age of 60 and finds that the mean number of miles driven is 22.9. The population standard deviation is 3.1 miles. At α=0.05, is there sufficient evidence that those drivers over 60 years old drive less than 24 miles per day on average? Assume that the variable is normally distributed. Use the P-value method with a graphing calculator. Find the P-value. Round it to four decimal places.The time necessary to complete the technical interview for the Google intership is normally distributed with a mean of sixty-three minutes, and a standard deviation of twelve minutes. Let the random variable X represent the number of minutes a randomly chosen student takes to complete the assessment. If a sample of three dozen students is taken, what is the standard deviation of the sample mean σX¯ and what is the probability that the sample mean would be 59 minutes or fewer?Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 53 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean u = 53 tons and standard deviation o = 1.3 ton. n USE SALT (a) What is the probability that one car chosen at random will have less than 52.5 tons of coal? (Round your answer to four decimal places.) (b) What is the probability that 42 cars chosen at random will have a mean load weight x of less than 52.5 tons of coal? (Round your answer to four decimal places.)
- A pizza delivery chain advertises that it will deliver your pizza in 35 minutes from when the order is placed. Being a skeptic, you decide to test and see if the mean delivery time is actually more than 35 minutes. For the simple random sample of 14 customers who record the amount of time it takes for each of their pizzas to be delivered, the mean is 37.0 minutes with a standard deviation of 9.9 minutes. Assume that the population distribution is approximately normal. Perform a hypothesis test using a 0.05 level of significance. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Ho: 35 Họ 1 = H₂H = 35Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 70 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean u = 70 tons and standard deviation o = 1.4 ton. n USE SALT (a) What is the probability that one car chosen at random will have less than 69.5 tons of coal? (Round your answer to four decimal places.) (b) What is the probability that 30 cars chosen at random will have a mean load weight x of less than 69.5 tons of coal? (Round your answer to four decimal places.) (c) Suppose the weight of coal in one car was less than 69.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? O Yes O No Suppose the weight of coal in 30 cars selected at random had an average x of less than 69.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Why? O Yes, the probability that…A population is normally distributed with mean 158 and standard deviation 45. A random sample of 56 is taken from the population. Find the standard error?
- Ch6. "A carpet manufacturing company is comparing the tensile strengths of two different types of synthetic fiber. Synthetic fiber A used in manufacturing carpet has tensile strength that is normally distributed with mean 75 psi and standard deviation 12 psi, and synthetic fiber B has tensile strength that is 70 psi and standard deviation 12 psi. Random sample of nA = 16 and nB = 9 of fiber specimens are selected. Find the probability that the sample mean of fiber specimen A exceeds the sample mean of fiber specimen B by 4."pizza delivery chain advertises that it will deliver your pizza in 35 minutes from when the order is placed. Being a skeptic, you decide to test and see if the mean delivery time is actually more than 35 minutes. For the simple random sample of 7 customers who record the amount of time it takes for each of their pizzas to be delivered, the mean is 39.4 minutes with a standard deviation of 5.5 minutes. Assume that the population distribution is approximately normal. Perform a hypothesis test using a 0.025 level of significance. Step 3 of 3 : Draw a conclusion and interpret the decision.59
- A pizza delivery chain advertises that it will deliver your pizza in 35 minutes from when the order is placed. Being a skeptic, you decide to test and see if the mean delivery time is actually more than 3535 minutes. For the simple random sample of 15customers who record the amount of time it takes for each of their pizzas to be delivered, the mean is 40.4 minutes with a standard deviation of 7.4 minutes. Assume that the population distribution is approximately normal. Perform a hypothesis test using a 0.10 level of significance. Step 3 of 3 : Draw a conclusion and interpret the decision.A random sample of size 40 is taken from a large population with mean 100 and standard deviation 16. What is the mean of the sampling distribution of the sample means?A researcher decides to measure anxiety in group of bullies and a group of bystanders using a 23-item, 3 point anxiety scale. Assume scores on the anxiety scales are normally distributed and the variance among the group of bullies and bystanders are the same. A group of 30 bullies scores an average of 21.5 with a sample standard deviation of 10 on the anxiety scale. A group of 27 bystanders scored an average of 25.8 with a sample standard deviation of 8 on the anxiety scale. You do not have any presupposed assumptions whether bullies or bystanders will be more anxious so you formulate the null and alternative hypothesis based on that.