A consumer analyst reports that the mean life of an automobile battery is 64 months. After testing this claim they determined that the p-value was 0.0012. What is the conclusion of the test?
A consumer analyst reports that the mean life of an automobile battery is 64 months. After...
A consumer organization collected data on two types of automobile batteries, A and B. They took random samples of size 12 from each battery. The summary statistics are ¯ xA = 36.51, ¯ xB = 34.21, sA = 1.43, and sB = 0.93. Assume that the data are normally distributed with σA = σB. (a) Is there evidence to support the claim that type A battery mean life exceeds that of type B? Use α = 0.01. (b) Construct a...
The life of an automobile battery is known to follow normal distribution with a mean of 2000 days and a standard deviation of 200 days. (a) Find the percentage of batteries which fail before 1500 days. (b) What should be the guarantee period to be specified by the manufacturer so that the manufacturer will encounter only 10 percent failures of the battery?
1) (40) The life in hours of a battery is know ơ-3.5hours. A random sample of25 batteries hasa mean life off-25.5 hours. n to be approximately normally distributed, with historical standard deviation ' gnificance level or 10% (30) Can the manufacturer claim battery life exceeds 25 hours? Test with a si conclude using p-value. a. i. (10) Explain conclusion to people that do not know statisties FOR A-SHOW al steps from test Significance level Step K. 255 hours caloyledt on
The life in hours of a battery is known to be approximately normally distributed, with standard deviation o = 1.25 hours. A random sample of 10 batteries has a mean life of x = 40.5 hours. (a) Is there evidence to support the claim that battery life exceeds 40 hours? Use a = 0.010. The battery life significantly different greater than 40 hours at a = 0.010. (b) What is the P-value for the test in part (a)? P-value =...
The manufacturer of a certain brand of auto batteries claims that the mean life of these batteries is 45 months. A consumer protection agency that wants to check this claim took a random sample of 24 such batteries and found that the mean life for this sample is 43.35 months. The lives of all such batteries have a normal distribution with the population standard deviation of 4.5 months. Find the p-value for the test of hypothesis with the alternative hypothesis...
9.25 The manufacturer of a certain brand of auto batteries claims that the mean life of these batteries is 45 months. A consumer protec- tion agency that wants to check this claim took a random sample of 24 such batteries and found that the mean life for this sample is 43.05 months. The lives of all such batteries have a normal distribution with the population standard deviation of 4.5 months. a. Find the p-value for the test of hypothesis with...
A tablet advertises that it has an all-day battery. The company
claims that their battery will expectedly last 24 hours. Batteries
of that capacity are assumed to have lives that are normally
distributed with (known) standard deviation equal to 1.25 hours. A
random sample of 10 batteries has a sample average life of 23.2
hours. Answer the following questions.
(a) Using α = 0.05, can you support the claim that battery life
is below 24 hours? Hint: Formulate the problem...
*Show all work, the answer is given already*
1) The life in hours of a battery is known to be approximately normally distributed with standard deviation o = 1.25 hours. A random sample of 10 batteries has a sample mean life 40.5 hours. Is there evidence to support the claim that battery life exceeds 40 hours? Use a = 0.5. Zo = 1.26 < 1.65 fail to reject H. What is the P-value for the test in part (a)? P-value...
After extensive product testing, a battery manufacturer knows that the mean lifetime of its heavy-duty battery is normally distributed with a mean of 45 months and a standard deviation of 10 months. (a) The manufacturer currently guarantees free replacement of any battery that fails within 36 months after purchase. What percentage of the batteries should the manufacturer expect to replace? Show your work. Express probabilities in terms of z scores. (b) If the manufacturer wants to replace 10% or fewer...
A cell phone's battery life is important when making a purchase. The Samsung Galaxy is said to have a mean battery life of 8 hours. In a random sample of size 14, the mean battery life was 8.22 hours. Population standard deviation is known to be 1 hour. Conduct a test where Ho: mu = 8 against Ha: mu ≠ 8. a) Calculate the appropriate test statistic. b) Determine the p-value and include a labeled picture. c) At significance of...