4. The tobacco manufacturer "Karólína Tóbak" advertised that their best-selling cigarettes contained a maximum of 40mg of nicotine. A consumer spokesperson tested 20 cigarettes randomly selected from different packs and found that the average nicotine content in the twenty cigarettes was 42mg and the standard deviation was 4mg. The nicotine content can be expected to follow a normal distribution. Perform an appropriate hypothesis test to see if the average nicotine content differs from 40mg. Show all six steps. Use a = 0.05.

4. The tobacco manufacturer "Karólína Tóbak" advertised that their best-selling cigarettes contained a maximum of 40mg of nicotine. A consumer spokesperson tested 20 cigarettes randomly selected from different packs and found that the average nicotine content in the twenty cigarettes was 42mg and the standard deviation was 4mg. The nicotine content can be expected to follow a normal distribution. Perform an appropriate hypothesis test to see if the average nicotine content differs from 40mg. Show all six steps. Use a = 0.05.

Name: 4. The tobacco manufacturer "Karólína Tóbak" advertised that their be
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Description: 4. The tobacco manufacturer "Karólína Tóbak" advertised that their best-selling cigarettescontained a maximum of 40mg of nicotine. A consumer spokesperson tested 20 cigarettesrandomly selected from different packs and found that the average nicotine

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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A phormaceubcal testing company wants to test a new cholesterol drug. The mean cholesterol level of the target population is 245 mg and a standard deviation of 35 mg. The company wishes to test people who have a cholesterol level that is at least 1.5 standard deviations above the mean. What is the minimum cholesterol level needed in order for a person to be included in the study?
According to Facebook, the mean number of community pages, groups and events that users are connected to is 80. A random sample of 64 Facebook users showed a mean of 86 connections to community pages, groups, and events. The sample standard deviation is 48. Test at a 5% significance whether the population mean number of connections to community pages, groups and events is greater than 80, stating the null and alternative hypothesis. Show your work.
A study was conducted to investigate the effect of a new drug on blood pressure. A sample of 25 patients was randomly selected and their blood pressure was measured both before and after taking the drug. The sample mean blood pressure before taking the drug was 120 mmHg and the sample mean blood pressure after taking the drug was 118 mmHg. The sample standard deviation for the blood pressure before taking the drug was 4 mmHg and the sample standard deviation for the blood pressure after taking the drug was 5 mmHg. Test the hypothesis that the average blood pressure after taking the drug is lower than the average blood pressure before taking the drug using a 0.01 level of significance.
Paint used to paint lines on roads must reflect enough light to be clearly visible at night. Researchers have 2 new types of paints they want to test paint type A and paint type B. For each paint type, they tested if there was statistical evidence the average reflectometer reading is greater than 35. To test each type of paint, they used 15 paint samples. Further, suppose the standard deviation is the same for both types of paints. The sample mean for paint type A was 39 and the sample mean for paint type B was 41.5. For both statistical tests, the significance level is set to .05.Which of the following is true? If they fail to reject the null hypothesis for paint type A we can conclude there is statistical evidence the average reflectometer for type A paint is 35. The p-value for the type B paint test is smaller. They rejected the null hypothesis for both paint types. Exactly two of the statements above are true. None are true.
The director of research and development is testing a new drug. She wants to know if there is evidence at the 0.05 level that the drug stays in the system for more than 352 minutes. For a sample of 54 patients the mean time the drug stayed in the system was 360 minutes. Assume the population standard deviation is 25. Find the p-value of the test statistic
Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 42 randomly selected people who train in groups and finds that they run a mean of 47.1 miles per week. Assume that the population standard deviation for group runners is known to be 4.4 miles per week. She also interviews a random sample of 47 people who train on their own and finds that they run a mean of 48.5 miles per week. Assume that the population standard deviation for people who run by themselves is 1.8 miles per week. Test the claim at the 0.01 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
During 2003 gasoline prices reached record high prices in 16 states United States (The Wall Street Journal, March 7, 2003). Two of the states affected were California and Florida. The American Automobile Association foundas sample mean price per gallon $2.04 in California and $1.72 per gallon in Florida. Use 40 as the sample size for California and 35 as the sample size for Florida. Suppose that previous studies indicate that the population standard deviation in California it is 0.10 and in Florida 0.08.a) Test at the 10% level the null hypothesis that the population means of the gasoline prices are equal against the alternative hypothesis that, on average, Gasoline is more expensive in California than in Florida.b) Find the p-value of this test.
The honors program at Brad's university only accepts students with an entrance exam score over 400. What percentage of students would be eligible if the students at Brad's school have an average exam score of 250, with a standard deviation of 80?
the FAA changed its guidelines for how small commuter airlines must estimate passenger weights. Under the old rule, airlines used 160 pounds as a typical passenger weight (including carry-on luggage) in warm months. A journal reported that an airline conducted a study to estimate average passenger plus carry-on weights. They found an average summer weight of 14aß pounds. Suppose that each of these estimates was based on a random sample of 100 passengers and that the sample standard deviations were 15 pounds for the summer weights. Construct a 95% confidence interval for the mean summer weight (including carry-on luggage) of this airline's passengers. (Show the detailed steps, and round your answer to three decimal places.)
A recent study found that 61 children who watched a commercial for potato chips featuring a celebrity endorser ate a mean of 39 grams of potato chips as compared to a mean of 28 grams for 51 children who watched a commercial for an alternative food snack. Suppose that the sample standard deviation for the children who watched the celebrity-endorsed commercial was 21.2 grams and the sample standard deviation for the children who watched the alternative food snack commercial was 12.7 grams. What is the test statistic? tSTAT= __________ (Round to two decimal places as needed.)