Question

In: Statistics and Probability

A research team takes the weights of what they believe to be a representative sample of...

A research team takes the weights of what they believe to be a representative sample of 30 adult female great whites. They find that the sample has a mean weight of 2050 pounds and a standard deviation of 220 pounds.

a.Find a 99% confidence interval for the mean weight of all adult female great whites.

b.Old statistics books used to say that if a sample size was at least 30, students could use a normal distribution instead of a t-distribution. Find the percent decrease in the width of the confidence interval for this problem if a student uses a normal curve instead of a t-distribution.

c.A previous paper had published that the mean weight of adult female great weights is 1950 pounds. If the researchers wanted to conduct an inference test against this parameter, find the p-values they would get if the researchers form a directional hypothesis (?>1950) versus a nondirectional hypothesis (?≠1950).

Solutions

Expert Solution


Related Solutions

Birth weights. Suppose an investigator takes a random sample of n = 50 birth weights from...
Birth weights. Suppose an investigator takes a random sample of n = 50 birth weights from several teaching hospitals located in an inner-city neighborhood. In her random sample, the sample mean x is 3,150 grams and the standard deviation is 250 grams. (a) Calculate a 95% confidence interval for the population mean birth weight in these hospitals. (b) The typical weight of a baby at birth for the US population is 3,250 grams. The investigator suspects that the birth weights...
1. What does it mean for a sample to be representative?
1. What does it mean for a sample to be representative?
A research program used a representative random sample of men and women to gauge the size...
A research program used a representative random sample of men and women to gauge the size of the personal network of older adults. Each adult in the sample was asked to​ "please name the people you have frequent contact with and who are also important to​ you." The responses of 2 comma 816 adults in this sample yielded statistics on network​ size, that​ is, the mean number of people named per person was x overbarequals14.8​, with a standard deviation of...
Describe the difference between a "population" and a "sample." What is a "representative sample" 1 What...
Describe the difference between a "population" and a "sample." What is a "representative sample" 1 What is the best way to achieve representativeness in a sample?
Jill is studying the weights of adult dogs and takes a random sample from 3 populations....
Jill is studying the weights of adult dogs and takes a random sample from 3 populations. Jill wants to know if the 3 breeds of dogs all hae the same population mean weight. She takes a random sample from each population and will do an ANOVA test Bulldogs { 54, 58, 44, 46, 62, 60 } Greyhounds { 68, 59, 65, 47, 71, 62 } Keeshonds { 64, 58, 66, 52, 50 } a.)What is Bob’s null and alternative hypothesis?...
Operator takes a sample of 3 tablets once per hour and measures their weights. Data for...
Operator takes a sample of 3 tablets once per hour and measures their weights. Data for the first 10 hours is shown below. Time (hr) Weight-1 Weight-2 Weight-3 0 253.31 246.03 253.57 1 247.97 248.31 251.57 2 249.47 250.04 250.15 3 248.38 247.74 254.81 4 250.55 241.08 251.35 5 242.40 248.07 250.43 6 254.59 247.63 252.42 7 248.38 252.33 252.61 8 256.07 248.46 254.95 9 245.84 250.97 247.68 Construct an X-bar and range charts for tablet weight based on this...
Suppose an investigator takes a random sample of n = 50 birth weights from several teaching...
Suppose an investigator takes a random sample of n = 50 birth weights from several teaching hospitals located in an inner-city neighborhood. In her random sample, the sample mean x is 3,150 grams and the standard deviation is 250 grams. (a) Calculate a 95% confidence interval for the population mean birth weight in these hospitals. (b) ThetypicalweightofababyatbirthfortheUSpopulationis3,250grams.Theinvestigatorsus- pects that the birth weights of babies in these teaching hospitals is different than 3,250 grams, but she is not sure if it...
5. why is it important that researchers have a representative sample when conducting survey research? 6....
5. why is it important that researchers have a representative sample when conducting survey research? 6. what difficulties does experimental research present for researchers?
A 2009 Pew Research Survey of a nationally representative sample of 242 cell phone users, aged...
A 2009 Pew Research Survey of a nationally representative sample of 242 cell phone users, aged 16 to 17 years, found that 52% had talked on the phone while driving. 1. Find a 98% confidence interval for the percentage of all cell phone users aged 16 to 17 years old who have talked on the phone while driving. 2. Do these data provide evidence that a majority of 16 to 17 year old cell phone users talk on the phone...
Following are the published weights (in pounds) of all of the team members of Football Team...
Following are the published weights (in pounds) of all of the team members of Football Team A from a previous year. 178; 203; 212; 212; 232; 205; 185; 185; 178; 210; 206; 212; 184; 174; 185; 242; 188; 212; 215; 247; 241; 223; 220; 260; 245; 259; 278; 270; 280; 295; 275; 285; 290; 272; 273; 280; 285; 286; 200; 215; 185; 230; 250; 241; 190; 260; 250; 302; 265; 290; 276; 228; 265 Organize the data from smallest to...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT