A pharmaceutical company wants to estimatethe mean life of a particular drug under typicalweatherconditions. Following results were obtained froma simple random sample of 64 bottles of thedrug:Sample mean:20 monthsPopulation standard deviations:3 monthsSample size:64Find an interval estimate with a confidence levelof (i)90% (ii) 95% (iii) 99%

We have given that Sample size n = 64 Sample mean = 20 Population standard deviation = 3

Answered: A pharmaceutical company wants to…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In 2009 Noodles & Company introduced spaghetti and meatballs to its menu. Before putting it on the menu, it performed taste tests to determine the best-tasting spaghetti sauce. In a paired comparison, 35 tasters were asked to rate their satisfaction with two different sauces on a scale of 1 to 10, with 10 being the highest. Assume equal population variances. The mean difference in ratings was d¯d¯ = -0.25944 with a standard deviation of sd = 1.53990. Use α = 0.05. b) Find the test statistic tcalc. (Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.) (c) Find the critical value tcrit for α = .05. (Round your answer to 3 decimal places.) (d) Find the p-value. (Round your answer to 3 decimal places.)
A sample of 50 earthquakes was found to have a sample mean of x ¯ = 1.184 and a sample standard deviation of s = 0.5864. Test the claim that the population of earthquakes has a mean magnitude greater than 1.00. Use a 0.01 significance level. Find the test statistic and critical value used for this test. Round to three decimal places.
Two independent laboratories have produced drugs that provide relief to arthritis and the results is shown below. At 5% level of significant, can we conclude that the drug produced by laboratory A significantly causes a shorter period of relief (in Hours) than that of a drug produced by laboratory B? Laboratory Sample Mean Standard Deviation A 75 4.5 2.5 B 60 5.5 2.0
Choose the appropriate statistical test. When computing, be sure to round each answer as indicated. A dentist wonders if depression affects ratings of tooth pain. In the general population, using a scale of 1-10 with higher values indicating more pain, the average pain rating for patients with toothaches is 6.8. A sample of 30 patients that show high levels of depression have an average pain rating of 7.1 (variance 0.8). What should the dentist determine? 1. Calculate the estimated standard error. (round to 3 decimals). [st.error] 2. What is thet-obtained? (round to 3 decimals). 3. What is the t-cv? (exact value) 4. What is your conclusion? Only type "Reject" or Retain"
A nutritionist selected a random sample of n = 50 adult males. The average daily intake of dairy products was found to be x (bar above) = 756 grams per day, with a standard deviation of s = 35 grams per day. Use this sample information to construct a 95% confidence interval for the mean daily intake of dairy products for men.
A random sample of 100 households was selected as part of a study on electricity usage, and the number of kilowatt-hours (kWh) was recorded for each household .The average usage was found to be 7.5 kWh. In a very large study in the previous year it was found that the standard deviation of the usage was 2.3 kWh.Assuming the standard deviation is unchanged and that the usage is normally distributed, calculate a 95% confidence interval for the mean usage (round to two decimals)
An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 140 engines and the mean pressure was 5.4 pounds/square inch (psi). Assume the population standard deviation is 1.0. If the valve was designed to produce a mean pressure of 5.6 psi, is there sufficient evidence at the 0.01 level that the valve performs below the specifications? Step 3 of 6: Specify if the test is one-tailed or two-tailed.
In 2009 Noodles & Company introduced spaghetti and meatballs to its menu. Before putting it on the menu, it performed taste tests to determine the best-tasting spaghetti sauce. In a paired comparison, 66 tasters were asked to rate their satisfaction with two different sauces on a scale of 1 to 10, with 10 being the highest. Assume equal population variances. The mean difference in ratings was d¯d¯ = -0.29798 with a standard deviation of sd = 1.55080. Use α = 0.05. (c) Find the critical value tcrit for α = .05. (Round your answer to 3 decimal places.) (d) Find the p-value. (Round your answer to 3 decimal places.) (e) State your conclusion.
During an economic crisis, the average value of homes in a community of 36 homes lost $9445 with a standard deviation of $1300. The average home value in the region lost $8990. Was this community of 36 homesunusual? Use a t-test to decide if the average loss observed was significantly different from the region value. Use a level of significance α=0.05. Identify the hypotheses for the test. H0: μ ▼ not equals≠ equals= greater than> less than< nothing HA: μ ▼ equals= greater than> not equals≠ less than< nothing The test statistic is nothing. (Round to two decimal places as needed.) The P-value is nothing. (Round to three decimal places as needed.) What is the conclusion of the test? Was the average loss observed significantly different from the region value? ▼ Reject Fail to reject the null hypothesis because the P-value is ▼ greater less than the given significance level, and conclude that the…
During an economic crisis, the average value of homes in a community of 36 homes lost $9284 with a standard deviation of $1450. The average home value in the region lost $8790. Was this community of 36 homes unusual? Use a t-test to decide if the average loss observed was significantly different from the region value. Use a level of significance α=0.05. Identify the hypotheses for the test. H0: μ ▼ less than< greater than> equals= not equals≠ nothing HA: μ ▼ less than< not equals≠ greater than> equals= nothing The test statistic is nothing. (Round to two decimal places as needed.) The P-value is nothing. (Round to three decimal places as needed.) What is the conclusion of the test? Was the average loss observed significantly different from the region value? ▼ Fail to reject Reject the null hypothesis because the P-value is ▼ greater less than the given significance level, and conclude that the…
A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of no more than 19 centimeters. The factory believes that the length of the bolts exceeds this value and measures the length of 94 bolts. The sample mean bolt length was 19.06 centimeters. The population standard deviation is known to be o = 0.26 centimeters. What is the test statistic z? Ex: 1.23 What is the p-value? Ex. 0.123 Does sufficient evidence exist that the length of boltş is actually greater than the mean value at a significance level of a = 0.01?[ Select v
Only need help with finding tcalc.

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