from a population with a normal distribution and a standard deviation ?=4.49σ=4.49. (c) Find a 9090% confidence interval for
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A random sample of 130130 observations produced a mean of ?⎯⎯⎯=30.2x¯=30.2 from a population with a
(c) Find a 9090% confidence interval for ?μ
It is given that
x̄ = 30.2
σ = 4.49
n = 130
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- A health professional obtains records for 38 patients who have undergone a certain surgical procedure and finds the average length of stay is 5.23 days with a standard deviation of 1.76 days. Using α=0.10α=0.10, is there evidence to suggest the actual average length of stay for this surgical procedure is 5 days?What are the hypotheses? H0:μ=5.23H0:μ=5.23 vs H1:μ≠5.23H1:μ≠5.23 H0:¯x=5.23H0:x¯=5.23 vs H1:¯x≠5.23H1:x¯≠5.23 H0:μ=5H0:μ=5 vs H1:μ≠5H1:μ≠5 H0:¯x=5H0:x¯=5 vs H1:¯x≠5H1:x¯≠5 Calculate the test statistic using the correct letter. t=0.81t=0.81 z=−0.81z=-0.81 z=0.81z=0.81 t=−0.81t=-0.81 Determine the critical values. ±1.305 ±1.687 ±1.685 ±1.645 ±1.304 ±1.686 ±1.282 State your decision. Accept H0 Fail to reject H0 Reject H0 The correct conclusion is that we conclude that the average length of stay of surgeries of this type days.What level of concern do you have for the validity of your results? Low −- our sample size is near 30, so while that's…A researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 30 bacteria reveals a sample mean of ¯x=68x¯=68 hours with a standard deviation of s=7s=7 hours. He would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.75 hours at a 99% level of confidence.What sample size should you gather to achieve a 0.75 hour margin of error?He would need to sample bacteria.Many people believe that the average number of Facebook friends is 125. The population standard deviation is 36.8. A random sample of 49 high school students in a particular county revealed that the average number of Facebook friends was 146. At =α0.05, is there sufficient evidence to conclude that the mean number of friends is greater than 125? State the hypotheses and identify the claim with the correct hypothesis. :H0 ▼= :H1 ▼= This hypotheses test is a one tailed or two tailed test z score critical value(s) reject or accept this hypothesis is there enough evidence to support the claim
- You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 30 bacteria reveals a sample mean of ¯x=78x¯=78 hours with a standard deviation of s=4.4s=4.4 hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.6 hours at a 95% level of confidence. What sample size should you gather to achieve a 0.6 hour margin of error? Round your answer up to the nearest whole number. n = bacteriaA random sample of 70 observations produced a mean of 27.5 and a standard deviation of 3.26. Find a 90% confidence interval for < U < (b) Find a 95% confidence interval for < U < (c) Find a 99% confidence interval for < U <A random sample of 10 observations from population A has sample mean of 152.3 and a sample standard deviation of 1.83. Another random sample of 8 observations from population B has a sample standard deviation of 1.94. Assuming equal variances in those two populations, a 99% confidence interval for μA − μB is (-0.19, 4.99), where μA is the mean in population A and μB is the mean in population B. (a) What is the sample mean of the observations from population B? (b) If we test H0 : μA ≤ μB against Ha : μA > μB, using α = 0.02, what is your conclusion?
- You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 40 bacteria reveals a sample mean of ¯x=64x¯=64 hours with a standard deviation of s=4.2s=4.2 hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.4 hours at a 95% level of confidence. What sample size should you gather to achieve a 0.4 hour margin of error? Round your answer up to the nearest whole number.You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 35 bacteria reveals a sample mean of ¯x=74x¯=74 hours with a standard deviation of s=4.2s=4.2 hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.4 hours at a 95% level of confidence. What sample size should you gather to achieve a 0.4 hour margin of error? Round your answer up to the nearest whole number.You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 30 bacteria reveals a sample mean of ¯x=66x¯=66hours with a standard deviation of s=5.4s=5.4hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.75 hours at a 99% level of confidence.What sample size should you gather to achieve a 0.75 hour margin of error? Round your answer up to the nearest whole number.n = bacteria
- A random sample of 130130 observations produced a mean of ?=30.2x¯=30.2 from a population with a normal distribution and a standard deviation ?=4.49σ=4.49. (b) Find a 9595% confidence interval for ?μYou are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 35 bacteria reveals a sample mean of ¯x=78x¯=78 hours with a standard deviation of s=5.6s=5.6 hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.5 hours at a 95% level of confidence. What sample size should you gather to achieve a 0.5 hour margin of error? Round your answer up to the nearest whole number.A random sample of 90 observations produced a mean of ?⎯⎯⎯=26.3 from a population with a normal distribution and a standard deviation ?=2.08.
