The length of an adult dwarf seahorse (hippocampus zosterae) is normally distributed with a standard deviation of 1.25 mm. A marine biologist claims that the population mean length is less than 23 mm. They select 95 adult dwarf seahorses at random, and calculate their mean length to be 22.6 mm. Test the marine biologist’s claim at a 5% significance level.
a) Define the parameter and random variable of interest.
b) State the null and alternative hypotheses, and identify the claim.
c) Determine the distribution of the test statistic. (Check the relevant criteria.)
d) Calculate the test statistic.
e) Find the p-value.
The length of an adult dwarf seahorse (hippocampus zosterae) is normally distributed with a standard deviation...
The National Highway Traffic Safety Administration (NHTSA) claims that, in a car accident, Tesla passengers are less likely to be injured than their non-Tesla counterparts. They select a random sample of 200 Tesla passengers and 400 non-Tesla passengers who were in a car accident. From their data, they found that 5.5% of the Tesla passengers and 9% of the non-Tesla passengers were injured. Test the NHTSA’s claim at a 10% significance level. a) Define Population 1 and Population 2. b)...
Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. A simple random sample of 2525 filtered 100 mm cigarettes is obtained, and the tar content of each cigarette is measured. The sample has a mean of 19.219.2 mg and a standard deviation of 3.353.35 mg. Use a 0.050.05 significance level to...
Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. A simple random sample of 2525 filtered 100 mm cigarettes is obtained, and the tar content of each cigarette is measured. The sample has a mean of 19.419.4 mg and a standard deviation of 3.553.55 mg. Use a 0.050.05 significance level to...
The claim is that the white blood cell counts of adult females are normally distributed, with a standard deviation equal to 3.19. A random sample of 39 adult females has white blood cell counts with a mean of 7.53 and a standard deviation of 3.83. Find the value of the test statistic. The test statistic is ___ (Round to three decimal places as needed.)
The claim is that the white blood cell counts of adult females are normally? distributed, with a standard deviation equal to 2.17 . A random sample of 45 adult females has white blood cell counts with a mean of 7.67 and a standard deviation of 3.83 . Find the value of the test statistic. The test statistic is nothing . ?(Round to three decimal places as? needed.)
1) The hemoglobin count (HC) in grams per 100 milliliters of whole blood is approximately normally distributed with population mean 14 for healthy adult women. Suppose a female patient has had 19 laboratory blood tests during the past year. Her average HC is 15.37 with s = 1.8. Is there evidence that her average HC is not 14? (a) State the null and alternative hypotheses: (Type "mu" for the symbol μμ , e.g. mu >> 1 for the mean is...
Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. In a manual on how to have a number one song, it is stated that a song must be no longer than 210 seconds. A simple random sample of 40 current hit songs results in a mean length of 228.9 sec and...
The claim is that the white blood cell counts of adult females are normally? distributed, with a standard deviation equal to 1.66. A random sample of 36 adult females has white blood cell counts with a mean of 8.25 and a standard deviation of 3.93. Find the value of the test statistic.
The length of bird songs, measured in seconds, are normally distributed. A rogue biologist (Biologist A)t claims the mean duration for American bird song is µ = 211.7. Another biologist (Biologist B) decides to test this and takes a sample of 12 bird songs and collects their durations. He retrieves the following data (measured in seconds):215.2, 223.5, 205.4, 233.3,200.2, 240.5, 251.6, 231.6,235.3,198.6 ,213.7, 226.9. Perform a hypothesis test of the rogue biologists claim (Biologist A). Test at the 0.05 significance...
Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. A coin mint has a specification that a particular coin has a mean weight of 2.5 g. A sample of 33 coins was collected. Those coins have a mean weight of 2.49615 g and a standard deviation of 0.01242 g. Use a...