4. A study was conducted on a sample of 25 outpatient records in a hospital for a chronicdisease, and the average number of outpatient visits per patient was calculated as 4.8.The population standard deviation is assumed to be 2.Can it be concluded from these data that the population mean is more than four visitsper patient with a probability of type 1 error of 0.05?

From the provided information, Sample size (n) = 25 Sample mean (x̄) = 4.8 Population standard…

Answered: A study was conducted on a sample of 25…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A survey of 46 people was conducted to compare their self-reported height to their actual height. The difference between reported height and actual height was calculated.You're testing the claim that the mean difference is greater than 0.8.From the sample, the mean difference was 1, with a standard deviation of 0.48.
A shareholders' group is lodging a protest against your company. The shareholders group claimed that the mean tenure for a chief exective office (CEO) was at least 9 years. A survey of 120 companies reported in The Wall Street Journal found a sample mean tenure of 7.3 years for CEOS with a standard deviation of s = 5.8 years (The Wall Street Journal, January 2, 2007). You don't know the population standard deviation but can assume it is normally distributed. You want to formulate and test a hypothesis that can be used to challenge the validity of the claim made by the group, at a significance level of a = 0.001. Your hypotheses are: H.:µ 29 На : и <9 What is the test statistic for this sample? test statistic = * (Report answer accurate to 3 decimal places.) What is the p-value for this sample? p-value = * (Report answer accurate to 4 decimal places.)
A pizza delivery chain advertises that it will deliver your pizza in 35 minutes from when the order is placed. Being a skeptic, you decide to test and see if the mean delivery time is actually more than 35 minutes. For the simple random sample of 14 customers who record the amount of time it takes for each of their pizzas to be delivered, the mean is 37.0 minutes with a standard deviation of 9.9 minutes. Assume that the population distribution is approximately normal. Perform a hypothesis test using a 0.05 level of significance. Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.
The mean body mass index (BMI) for males in the US (2015) is 28.8 with a standard deviation of 3.8. Suppose we select a SRS of 100 males from the US. a. What is the probability that the mean BMI of the sample is more than 29.5? b. What is the probability that the mean BMI of the sample is between 27 and 29.5?
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.
A pizza delivery chain advertises that it will deliver your pizza in 35 minutes from when the order is placed. Being a skeptic, you decide to test and see if the mean delivery time is actually more than 35 minutes. For the simple random sample of 14 customers who record the amount of time it takes for each of their pizzas to be delivered, the mean is 37.0 minutes with a standard deviation of 9.9 minutes. Assume that the population distribution is approximately normal. Perform a hypothesis test using a 0.05 level of significance. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Ho: 35 Họ 1 = H₂H = 35
A basketball analyst recently claimed that the average number of passes per possession in basketball today is less than 5. A random sample of 40 possessions had a mean number of passes of 4.1. The standard deviation of all possessions is known to be 2.4. Test the claim with 0.01 level of significance.
Suppose that a report by a leading medical organization claims that the healthy human heart beats an average of 72 times per minute. Advances in science have led some researchers to question if the healthy human heart beats an entirely different amount of time, on average, per minute. They obtain pulse rate data from a sample of 85 healthy adults and find the average number of heart beats per minute to be 76, with a standard deviation of 13. Before conducting a statistical test of significance, this outcome needs to be converted to a standard score, or a test statistic. What would that test statistic be? (Use decimal notation. Give your answer to one decimal place.) test statistic:

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