A sample of 44 smartphone users found that on average they picked up their phones 34 times per day, with a standard deviation s=7.2. Construct a confidence interval at a 99% confidence level for the true mean number of times a smartphone user picks up their phone every day. Assume the data came from a normally distributed population. Give your answers to one decimal place. < μ <

A sample of 44 smartphone users found that on average they picked up their phones 34 times per day, with a standard deviation s=7.2. Construct a confidence interval at a 99% confidence level for the true mean number of times a smartphone user picks up their phone every day. Assume the data came from a normally distributed population. Give your answers to one decimal place. < μ <

Name: A sample of 44 smartphone users found that on average they picked up t
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: A sample of 44 smartphone users found that on average they picked up their phones 34 times per day, with a standard deviation s=7.2. Construct a confidence interval at a 99% confidence level for the true mean number of times a smartphone user picks u

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 14PPS

See similar textbooks

Related questions

Q: A survey of an urban university (population of 35,540) showed that 840 of 1,300 students sampled…

A: Step 1 Given that, n=1300 X=840 So, the proportion is, p’ = x/n…

Q: Find the critical values, χ L 2 and χ R 2, used for a 95% confidence interval for the standard…

A: Given: Degree of freedom = 25 α = 1 - 0.95 = 0.05

Q: A popular weight loss program claims that with its recommended healthy diet regimen, users lose…

Q: Construct a 90% confidence interval for the true average cost of a 50000 kilometre car service in…

Q: In a study of times required from room service at a newly opened Plaza Hotel, 20 deliveries had a…

A: Given, Mean, -x = 24.2 Standard deviation, s = 8.7 Sample size, n = 20 Degrees of freedom, df = n-1=…

Q: A survey of college students reported that in a sample of 41 male college students, the average…

A: Obtain the 99% confidence interval for the difference between men and women in the mean number of…

Q: Q6. (a) A manufacturer of light bulbs advertises that, on average, its long-life bulb will last for…

A: The 100(1-α)% CI is given by x¯-zα2σn,x¯+zα2σn. If [5.030,5.070] is the CI then the sample mean is…

Q: A quality control specialist for a restaurant chain takes a random sample of size 12 to check the…

Q: A researcher studying reaction time of drivers states that, A 95% confidence interval for the time…

Q: a study of nickels showed that the standard deviation of the weight of nickels is 150 milligrams. a…

A: It is given that confidence level is 0.95, standard deviation is 150 and margin of error E is 20.

Q: A group of medical students volunteering at a maternity hospital in Florida are looking to determine…

A: Given that, x=392,n=650 The best point estimate of the population proportion is sample proportion…

Q: Use The t Distribution Table to find the tn value for a 90% confidence Interval for the mean when…

Q: The EPA wants to test a randomly selected sample of nn water specimens and estimate the mean daily…

A: From the provided information, Population standard deviation (σ) = 4 Margin of error (E) = 1…

Q: The heights, in inches, of orangutans are normally distributed with a population standard deviation…

A: Here, σ=3, n=17, confidence level=95% .

Q: Suppose that the hourly wages of fast food workers are normally distributed with an unknown mean and…

A: For sample size n, the degrees of freedom (df) is n – 1. Here, df = 40 – 1 = 39.

Q: A 30 month study is conducted to determine the difference in rates of accidents per month between…

Q: A random sample of 40 adults with no children under the age of 18 years results in a mean daily…

A: Given, A random sample of 40 adults with no children under the age of 18 years results in a mean…

Q: A soft-drink manufacturer purchases aluminum cans from an outside vendor. A random sample of 70 cans…

A: (a) Obtain the 95% confidence interval for the proportion of cans in the shipment that meet the…

Q: 2. The population of SULU Hornbill ( one of the endangered bird species in the Philippines) has a…

A: In testing of a hypothesis, Confidence interval is an interval such that the probability of the…

Q: A sample of 8 items has an average fat content of 18.6 grams and a standard deviation of 2.4 grams.…

A: Given : μ = 18.6σ = 2.4n = 8 As standard deviation is known so we will apply z test 99% confidence…

Q: A random sample of 87 airline pilots had an average yearly income of $99,400 with a standard…

A: Givensample size(n)=87Mean(x)=99400standard deviation(s)=12000

Q: A random sample of 100 preschool children in Kent revealed that only 60 had been vaccinated. Give…

A: Sample size:From the information, a random sample of 100 preschool children has been…

Q: The germination periods, in days, for grass seed are normally distributed with a population standard…

A: Given, Standard deviation (σ) =7 days sample (n) = 17 Sample mean (x-) =37 days

Q: At a factory, batteries are produced with a standard deviation of 3.2 months. In a sample of 81…

Q: A random sample of 16 lightbulbs of one brand was selected to estimate the mean lifetime of that…

A: We have given that, Sample mean (x̄) = 1025, standard deviation (s) = 130 and sample size (n) = 16…

Q: Suppose that the waiting times for patients at a local hospital are normally distributed with a…

A: Given data,n=75σ=30x=90z-value at 95% confidence is Zc=1.96Upper Confidence limit=?

Q: A survey of 20 randomly selected adult men showed that the mean time they spend per week watching…

A: Sample size , n = 20 Sample standard deviation , s = 2.98 Sample mean , Confidence level ,c = 90%…

Q: how many water specimens are required in the sample

A: It is given that Population standard deviation, σ = 3.2 Margin of error, E = 2 Confidence interval…

Q: According to a survey, the average times, in minutes, it took for Statistics students to complete…

A: Given data; Mean(x-bar) = 102 minutes Standard deviation (s) = 11 minutes Sample size (n) =16 As…

Q: Based on a large sample of capacitors of a certain type, a 95% confidence interval for the mean…

A: Solution: From the given information, a 95% confidence interval for the mean capacitance is (0.213,…

Q: b. Estimate the 95% confidence interval for the standard deviation if a research of (A + 8)…

A: Confidence interval : Confidence interval formula for the population variance is given by…

Q: how many water specimens are required in the sample?

A: It is given that Margin of error E = 0.8 Population SD = 5.9 Level of confidence = 95% The critical…

Q: 2. The population of SULU Hornbill ( one of the endangered bird species in the Philippines ) has a…

A: Given that sample size=n=150 sample mean=X¯=65 population standard deviation=σ= 40 confidence…

Q: A sample of 22 public high school students spent an average of 7 hours studying per week. Assuming…

Q: A sample of 16 suburban hotels showed that the mean revenue is $1500 with a standard deviation of…

Q: A sample of 60 obese adults was put on a low carbohydrate diet for a year. The average weight loss…

A: Given: Mean = 11 Standard deviation = 9 The one-tailed critical value for a 99% confidence level is…

Q: A laboratory tested twelve randomly selected chicken eggs and found that the mean amount of…

A: From the given information, n=12x¯=166.2s=5.3 Given confidence level is 90%. Significance level is…

Q: A group of scientists studied the adhesion of various biofilms to solid surfaces for possible use in…

A: Population standard deviation is 0.66. The z-critical value for 90% confidence interval is 1.645…

Q: A biology student measured the ear lengths of an SRS of 10 Mountain cottontail rabbits. The ear…

A: Given: Sample size n=10 Population standard deviation σ=0.4

Q: A quality control specialist for a restaurant chain takes a random sample of size 12 to check the…

A: We want to find the 95% confidence interval forthe true population mean

Q: A random sample of 40 adults with no children under the age of 18 years results in a mean daily…

Q: An experiment with 25 randomly selected samples found out that the sample mean temperature for a…

A: Testing of Hypothesis: Testing of hypothesis is a rule which, when the sample values have been…

Q: A farmer finds the mean mass for a random sample of 200 eggs laid by his hens to be 57.2 grams. If…

Q: The EPA wants to test a randomly selected sample of nn water specimens and estimate the mean daily…

A: It is given that margin of error (E) is 2 and the confidence level is 88.36%.

Q: The Ball Corporation's beverage can manufacturing plant in Fort Atkinson, Wisconsin, uses a metal…

A: Given: n= 52.0 , x̄= 0.3373 σ= 0.000652 At 95.0 % confidence level , z score= 1.96

Q: A survey of a random sample of 40 actuarial scientists who passed all their exams and are 7. working…

Q: many water specimens are required in the sample?

A: Here use basic of confidence internet and margin of error

Q: A random sample of 32 showed that the mean shoe size for American men is 10.5 with a standard…

A: Given that: n= 32.0 , x̄= 10.5 s= 1.12 At 95.0 % confidence level , z score= 1.96

Q: Suppose that for a random sample of 200 firms that revalued their fixed assets, the mean ratio of…

A: Given, n1=200 x-1=0.5170 S1=0.148 n2=400 x-2=0.489 S2=0.158 c=99%=0.99

Q: manufacturer of Energy Saving Lamps has a product life that is normally distributed with a standard…

A: Given Data : Sample Size , n= 32 Sample Mean , x̄ = 775.0 population standard…

Topic Video

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution

Step 1

$G i v e n d a t a, n = 44 x = 34 s = 7.2 z v a l u e a t 99 % C o n f i d e n c e i s Z c = 2.576$

Step by step

Solved in 2 steps

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Means$

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.

Recommended textbooks for you

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN: