Round your answers to two decimal places. Zcritical = Zobserved 6.406
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
![A random sample of 114 observations produced a sample mean of 31. Find the critical and observed values of \( z \) for the following test of hypothesis using \( \alpha = 0.01 \). The population standard deviation is known to be 5 and the population distribution is normal.
\[ H_0: \mu = 28 \] versus \[ H_1: \mu > 28 \].
Round your answers to two decimal places.
\( z_{\text{critical}} = \) [input box]
\( z_{\text{observed}} = 6.406 \)
The problem involves determining the critical and observed values of the \( z \)-statistic for a hypothesis test at a significance level (\( \alpha \)) of 0.01, with a one-tailed alternative hypothesis that the population mean (\( \mu \)) is greater than 28. The standard deviation is given as 5, and the sample mean and sample size are 31 and 114, respectively.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb58cb154-e620-4a2d-9fe1-63caab1a97a3%2F5e793276-143d-4ad0-a154-dd411acc7799%2F2yejpj9_processed.jpeg&w=3840&q=75)
![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 43.25 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 that the mean life of these batteries is less than 45 months.
Round your answer to four decimal places.
\( p = \)
[Input box]
Will you reject the null hypothesis at \( \alpha = 0.025 \)?
[Dropdown box]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb58cb154-e620-4a2d-9fe1-63caab1a97a3%2F5e793276-143d-4ad0-a154-dd411acc7799%2Fhnw8fpq_processed.jpeg&w=3840&q=75)
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