Suppose that Kira is measuring the amount of sleep that the residents of Decatur County get per night. She does not know the standard deviation, nor does she know the distribution of the amount of sleep all Decatur residents get. Therefore, she prefers to obtain a large sample. Kira thus enlists the help of her friend, Jadzia, who works for OkHarmony. This popular dating service finds matches for its clients by how they respond to numerous survey questions. Jadzia slips Kira's question into the mix, and from the member database of over a thousand male and female singles, she is able to obtain a sample of 101 responses. The sample mean is 6.62 hours a night with a sample standard deviation of 1.19 hours. There are no outliers in the sample. Kira plans to perform a t-test with an alpha level of α = 0.05 on the hypothesis that Decatur residents get an average of less than 8 hours of sleep per night. Evaluate all of the following five statements as true or false. The sample is a simple random sample. The population standard deviation is not known. There are no outliers in the sample. The population is normally distributed, or the sample size is large enough. The requirements for a t-test are met. 00000 Answer Bank false true

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Suppose that Kira is measuring the amount of sleep that the residents of Decatur County get per night. She does not know the
standard deviation, nor does she know the distribution of the amount of sleep all Decatur residents get. Therefore, she prefers
to obtain a large sample.
Kira thus enlists the help of her friend, Jadzia, who works for OkHarmony. This popular dating service finds matches for its
clients by how they respond to numerous survey questions. Jadzia slips Kira's question into the mix, and from the member
database of over a thousand male and female singles, she is able to obtain a sample of 101 responses. The sample mean is
6.62 hours a night with a sample standard deviation of 1.19 hours. There are no outliers in the sample.
Kira plans to perform a t-test with an alpha level of α = 0.05 on the hypothesis that Decatur residents get an average of less
than 8 hours of sleep per night. Evaluate all of the following five statements as true or false.
The sample is a simple random sample.
The population standard deviation is not known.
There are no outliers in the sample.
The population is normally distributed, or the
sample size is large enough.
The requirements for a t-test are met.
00000
Answer Bank
false
true
Transcribed Image Text:Suppose that Kira is measuring the amount of sleep that the residents of Decatur County get per night. She does not know the standard deviation, nor does she know the distribution of the amount of sleep all Decatur residents get. Therefore, she prefers to obtain a large sample. Kira thus enlists the help of her friend, Jadzia, who works for OkHarmony. This popular dating service finds matches for its clients by how they respond to numerous survey questions. Jadzia slips Kira's question into the mix, and from the member database of over a thousand male and female singles, she is able to obtain a sample of 101 responses. The sample mean is 6.62 hours a night with a sample standard deviation of 1.19 hours. There are no outliers in the sample. Kira plans to perform a t-test with an alpha level of α = 0.05 on the hypothesis that Decatur residents get an average of less than 8 hours of sleep per night. Evaluate all of the following five statements as true or false. The sample is a simple random sample. The population standard deviation is not known. There are no outliers in the sample. The population is normally distributed, or the sample size is large enough. The requirements for a t-test are met. 00000 Answer Bank false true
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