**Hypothesis Testing Practice Problems**1) According to **Consumer Expenditures**, the average consumer spent $1729 on apparel and services in 2016. In 2017, a random sample of 36 consumers had a mean of $1667.11 and a standard deviation of $351.69. Can it be said that at the 5% level of significance that the mean level of consumption differed in 2017 with respect to 2016?2) Having a baby in a US Hospital costs $2528 on average. Active Management of Labor, (AML) is a group of interventions designed to help reduce the length of labor and of Caesarian Sections. With AML assistance, a random sample of 200 baby deliveries had a mean cost of $2480 with a standard deviation of $766. At the 5% level of significance, do the data provide sufficient evidence to conclude that AML reduces the cost of having a baby in a US Hospital?3) In a study published by the **American Journal of Psychiatry** (May 2014) researchers wanted to measure the effect of alcohol on the hippocampal region of the brain in adolescents. 12 adolescents who use alcohol were randomly chosen. Hippocampal volumes were examined. The mean hippocampal volume for the whole population is 9.03 cubic centimeters. An analysis revealed that the mean hippocampal in the 12 chosen subjects was 8.1 cubic centimeters with a standard deviation of 0.7 cubic centimeters. At the 1% level of significance, can it be concluded that the adolescents have a lower hippocampal volume?4) In 2015, the mean household expenditure for energy was $1493 according to data published by the **US Energy Information Association**. Pratap is an economist and he thinks that this has changed significantly in 2017. In a random sample of 35 households he found that the mean expenditure for energy was $1618 with a standard deviation of $321. At the 5% level of significance can we agree with Pratap?

Name: **Hypothesis Testing Practice Problems**1) According to **Consumer Ex
Uploaded: 2024-03-20T07:06:16.000Z
Channel: Bartleby
Description: **Hypothesis Testing Practice Problems**1) According to **Consumer Expenditures**, the average consumer spent $1729 on apparel and services in 2016. In 2017, a random sample of 36 consumers had a mean of $1667.11 and a standard deviation of $351.69.

Since you have asked multiple questions, we will solve the first question for you. If you want a…

Math

Statistics

1) According to Consumer Expenditures, the average consumer spent $1729 on apparel and services in 2016. In 2017, a random sample of 36 consumers had a mean of $1667.11 and a standard deviation of $351.69. Can it be said that at the 5% level of significance that the mean level of consumption differed in 2017 with respect to 2016?

1) According to Consumer Expenditures, the average consumer spent $1729 on apparel and services in 2016. In 2017, a random sample of 36 consumers had a mean of $1667.11 and a standard deviation of $351.69. Can it be said that at the 5% level of significance that the mean level of consumption differed in 2017 with respect to 2016?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: The U.S. Center for Disease Control reports that in year 1900, the mean life expectancy is 47.6…

A: Given nw=117, x¯w=46.7 and sw=11.4 And nnw=86, x¯nw=38.4 and snw=15.4

Q: The Pew Internet and American Life Project surveyed 2227 adults in 2011, asking them about their…

A: It is given that the mean number of text messages sent per day is 40.9 for men, 42.0 for women. The…

Q: A significant number of students completed a Statistics exam, and the final marks had a mean of 70…

A: Answer - A significant number of students completed a Statistics exam, and the final marks had a…

Q: c. Find the p-value. Round to 4 decimals. p-value = d. Make a decision. O Fail to reject the null…

A: Given : Mean : x1 = 46.9x2 = 36.2 standard deviation : σ1 = 12.4σ2 = 15.3 Sample size : n1 = 124n2 =…

Q: The U.S. Center for Disease Control reports that the mean life expectancy was 47.6 years for whites…

A: From the provided information,

Q: Is it worth pursuing a doctoral degree in education if you already have an undergraduate degree? One…

A: Obtain the 99% confidence interval to estimate the true difference between the mean salaries for…

Q: An article in the Register stated that students in the state university system take 4.5 years, on…

A: Givensample size(n)=49Mean(x)=5.1standard deviation(s)=1.2significance level(α)=0.01

Q: Suppose that the number of hours that an adult watches in a day has a mean of 2.4 hours and a…

A: Given: Mean, μ=2.4 hours Standard deviation, σ=0.7 hours (i) Percentage of adults watch between 1…

Q: Suppose 18% of movie-goers say that horror is their favorite movie genre. If a random sample of…

A: Obtain the mean number of movie-goers that prefer horror movie genre. The mean number of movie-goers…

Q: The carbon dioxide emissions of EU nations had a mean of 7.9 and standard deviation of 3.6. a.…

A: Since we have given that Mean(µ) = 7.9Standard deviations (σ) = 3.6 Since part (a) you have already…

Q: A health psychologist is interested in the potential effect that a change in career focus can have…

A: We hvae to find point estimate for the mean systolic blood pressure for divorce lawyers who switch…

Q: Suppose that the distribution of income in a certain tax bracket is approximately normal with a mean…

A: Probability distribution: A probability distribution function is the statistical function that…

Q: The U.S. Center for Disease Control reports that the mean life expectancy was 47.6 years for whites…

A: a.) The Hypotheses The hypotheses are: H0:μW=μNWH1:μW=μNW b.) The Test Statistic The…

Q: Is it worth pursuing a doctoral degree in education if you already have an undergraduate degree? One…

A: Let Population 1 be the salaries for people with doctoral degrees and Population 2 be the salaries…

Q: A study has shown that 15% of all college textbooks have a price of $178.52 or higher. It is known…

A: From the provided information Standard deviation (σ) = $32.55 Let X be a random variable which…

Q: A market research firm reported that the mean annual earnings of all family practitioners in the…

Q: Assume that the heights of men applying for Us Military training are normally distributed with a…

A: Given, Assume that the heights of men applying for Us Military training are normally distributed…

Q: Suppose that prices of recently sold homes in one neighborhood have a mean of $265,000 with a…

A: For the distribution of the price of the recently sold homes, the parameters are specified as…

Q: Assume that the mathematics scores on the SAT are normally distributed with a mean of 500 and a…

Q: Find the standard error. Answer 2.8 O 16.6 O 1.96 O 0.4733 O 15.67<μ <17.53

A: Standard error=Standard deviation/sqrt(sample size)

Q: If the power of the test performed against the alternative is 0.812, what the Probability of…

A: It is given that Power of test = 0.812

Q: Is it worth pursuing a doctoral degree in education if you already have an undergraduate degree? One…

A: The sample size for population 1 is 16, sample mean is 47000 and sample standard deviation is 5200.…

Q: A marketing consultant is hired by a major restaurant chain wishing to investigate the preferences…

A: Given information: Margin of error is m=1.00 Standard deviation is 3.50. Confidence level is 90%.…

Q: Assume that the mathematics scores on the SAT are normally distributed with a mean of 500 and a…

A: normal distributionμ = 500σ = 100P(570<x<640) = ?

Q: Suppose the annual employer 401K cost per participant is normally distributed with a mean of $770.…

A: Let X be the random variable representing the cost per participant. Then, X~N(μ,σ2),where…

Q: If the weekly grocery expenditure of households in a certain urban market is known to be normally…

Q: The average chef at a restaurant earns $17 an hour with a deviation of $1.75. What are the chances…

Q: Is it worth pursuing a doctoral degree in education if you already have an undergraduate degree? One…

A: The sample size for population 1 is 15, sample mean is 50000 and sample standard deviation is 9200.…

Q: Suppose that the quarterly sales levels among healthcare information systems companies are…

Q: A recent study found that 69% of all adults over 50 wear sunglasses for driving. In a random sample…

A: Formula : Mean = np Standard Deviation :

Q: 1900 in a certain county. Of the 124 whites, the mean life span was 45.3 years with a standard…

A: Given Data : For Sample 1 x̄1 = 45.3 s1 = 12.7 n1 = 124 For Sample 2…

Q: It has been found that with the standard dosage of a drug, the change in people’s uric acid levelis…

A: Given X is normal Distributed with mean µ = 240.0 and standard deviation σ = 60.0 now will using…

Q: A study reported on essential organic molecules and a Normal model can be used to describe these…

A: As per our guidelines we are suppose to answer three sub parts. Given,mean(μ)=194standard…

Q: Suppose that the annual household income in a small Midwestern community is normally distributed…

A: Solution: Let X be the annual household income in a small Midwestern community is normally…

Q: A student earned a 79 on a precalculus exam, and she earned a 92 on a statistics exam. The…

A: Answer:- Given, The precalculus exam had a mean score (µ) =72.3 with a standard deviation (σ) = 8.4.…

Q: Assume that the mathematics scores on the SAT are normally distributed with a mean of 500 and a…

A: normally distributed with a mean of 500μ=500 standard deviation of 100σ=100we have to find out…

Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

Topic Video

Question

**Hypothesis Testing Practice Problems**

1) According to **Consumer Expenditures**, the average consumer spent $1729 on apparel and services in 2016. In 2017, a random sample of 36 consumers had a mean of $1667.11 and a standard deviation of $351.69. Can it be said that at the 5% level of significance that the mean level of consumption differed in 2017 with respect to 2016?

2) Having a baby in a US Hospital costs $2528 on average. Active Management of Labor, (AML) is a group of interventions designed to help reduce the length of labor and of Caesarian Sections. With AML assistance, a random sample of 200 baby deliveries had a mean cost of $2480 with a standard deviation of $766. At the 5% level of significance, do the data provide sufficient evidence to conclude that AML reduces the cost of having a baby in a US Hospital?

3) In a study published by the **American Journal of Psychiatry** (May 2014) researchers wanted to measure the effect of alcohol on the hippocampal region of the brain in adolescents. 12 adolescents who use alcohol were randomly chosen. Hippocampal volumes were examined. The mean hippocampal volume for the whole population is 9.03 cubic centimeters. An analysis revealed that the mean hippocampal in the 12 chosen subjects was 8.1 cubic centimeters with a standard deviation of 0.7 cubic centimeters. At the 1% level of significance, can it be concluded that the adolescents have a lower hippocampal volume?

4) In 2015, the mean household expenditure for energy was $1493 according to data published by the **US Energy Information Association**. Pratap is an economist and he thinks that this has changed significantly in 2017. In a random sample of 35 households he found that the mean expenditure for energy was $1618 with a standard deviation of $321. At the 5% level of significance can we agree with Pratap?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Centre, Spread, and Shape of a Distribution$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

A study by the National Center for Health Statistics suggested that women between the ages 20 and 29 in the US have a mean BMI of 26.8 with a standard deviation of 7.4. A BMI of 30 or greater is considered as being obese. What proportion of women in this age range are obese?
Refer to the accompanying data display that results from a sample of airport data speeds in Mbps. Complete parts (a) through (c) below. K crunch Ⓡ 2 S nd x a. Express the confidence interval in the format that uses the "less than" symbol. Given that the original listed data use one decimal place, round the confidence interval limits accordingly. Mbps O L command P > Clear all : ; I { option ? (13.046,22.15) x= 17.598 Sx= 16.01712719 n = 50 I Tinterval 11 Check answer I 1 delete ret
The U.S. Center for Disease Control reports that in year 1900, the mean life expectancy is 47.6 years for whites and 33 years for nonwhites. (Click here for reference data) Suppose a survey of randomly selected death records for white and nonwhite people born in 1900 from a certain county is conducted. Of the 110 whites surveyed, the mean life span was 48.2 years with a standard deviation of 11.2 years and of the 95 nonwhites, the mean life span was 39.3 years with a standard deviation of 16 years. Conduct a hypothesis test at the 0.05 level of significance to determine whether there was no difference in mean life spans in the county for whites and nonwhites in year 1900. Preliminary: Is it safe to assume thatnw≤5% of all white people born in 1900 andnnw≤5% of all nonwhite people born in 1900? No Yes Is nw≥30 and nnw≥30 ? No Yes Test the claim: Determine the null and alternative hypotheses. H0: μw μnw Ha: μw μnw Determine the test statistic. Round to four…
A company produces different types of drinks. It has been observed that the amount of drink in a bottle is normally disributed with a mean of 500 ml and a standard deviation of 4.75 ml. What percentage of the drink bottles contains 505 to 513 ml
The hotel room rate in Miami, Florida is normally distributed with a mean of $286 per night. Assume that the standard deviation is unknown. If 19% of the Miami hotel room rates are more than $300 per night, what is the variance?
Is it worth pursuing a doctoral degree in education if you already have an undergraduate degree? One way to help make this decision is to look at the mean incomes of these two groups. Suppose that 15 people with bachelor’s degrees in education were surveyed. Their mean annual salary was $⁢31,500 with a standard deviation of $⁢7900. Seventeen people with doctoral degrees in education were found to have a mean annual salary of $⁢47,500 with a standard deviation of $⁢6900. Assume that the population variances are not the same. Construct a 99% confidence interval to estimate the true difference between the mean salaries for people with doctoral degrees and undergraduate degrees in education. Let Population 1 be the salaries for people with doctoral degrees and Population 2 be the salaries for people with undergraduate degrees. Round the endpoints of the interval to the nearest whole number, if necessary.
As reported in Runner's World magazine, the times of the finishers in the New York City 10- km run are normally distributed with mean 61 minutes and standard deviation 9 minutes. The 75th percentile for the finishing times is 67 minutes. What is the interpretation of this value?
A marketing consultant is hired by a major restaurant chain wishing to investigate the preferences and spending patterns of lunch customers. The CEO of the chain hypothesized that the average customer spends at least $13.50 on lunch. A survey of 25 customers sampled at one of the restaurants found the average lunch bill per customer to be ?¯=$14.50 . Based on previous surveys, the restaurant informs the marketing manager that the standard deviation is ?=$3.50 . To address the CEO’s conjecture, the marketing manager carried out a hypothesis test of ?0:?=13.50 vs. ??:?>13.50 and obtained a ?‑value = 0.77. The marketing chooses a significance level of ?=0.10. If he uses this significance level throughout his work, how often will he reject a true null hypothesis? Group of answer choices a.He will reject 10% of all true null hypotheses. b. He will reject 1% of all true null hypotheses. c. He will reject 5% of all true null hypotheses. d. He will not reject 10% of all true null…
Two students were informed that they received standard z-scores of 0.9 and -0.5, respectively on a multiple-choice examination in Science. If their grades were 95 and 60, respectively, find the mean and standard deviation of the examination grades.
According to the Department of Education the mean number of hours college students spend studying each week follows a normal distribution with a mean of 20 hours and standard deviation of 9 hours. What ‘hours of study’ represents the 90th percentile? What ‘hours of study’ represents the 15th percentile?
Suppose there is a city where the mean cost per month of a one-bedroom apartment is $1,500, with a standard deviation of $250. Approximately what percentage of one-bedroom apartments in the city cost between $750 and $1,000?
Suppose there is a city where the mean cost per month of a one-bedroom apartment is $1,500, with a standard deviation of $250. Approximately what percentage of one-bedroom apartments in the city cost between $750 and $1,000?