A market researcher would like to know how much time the typical teenager spends playing video games. Suppose he does a preliminary study based upon a sample of 25 teenagers. The mean amount of time those in the sample spent playing video games is 164 minutes per day with a standard deviation of 30.2. (a)Calculate the point estimate for the population mean. Calculate its margin of error at 90% confidence. (Use a table or SALT. Round your answer to two decimal places.) (b)Calculate a 90% confidence interval for the true mean time (in minutes per day) spent playing video games. (Round your answers to two decimal places.) , minutes per day(c)Suppose it is claimed that the mean time spent playing video games is 192 minutes per day. Which of the following sets of hypotheses should be used if the researchers want to determine if the mean time is different than claimed?H0: μ = 192Ha: μ > 192H0: μ = 192Ha: μ ≠ 192 H0: μ < 192Ha: μ > 192H0: μ = 192Ha: μ < 192(d)Based on the confidence interval, which of the following is the correct conclusion?Since 192 does not lie inside the interval, we fail to reject the null hypothesis and conclude there is insufficient evidence the true mean time spent on video games is significantly different than claimed.Since 192 does lie inside the interval, we fail to reject the null hypothesis and conclude there is sufficient evidence the true mean time spent on video games is not significantly different than claimed. Since 192 does not lie inside the interval, we reject the null hypothesis and conclude there is sufficient evidence that the true mean time spent on video games is significantly different than claimed.Since 192 does lie inside the interval, we reject the null hypothesis and conclude there is sufficient evidence the true mean time spent on video games is significantly different than claimed. A market researcher would like to know how much time the typical teenager spends playing video games. Suppose he does a preliminary study based upon a sample of 25 teenagers. The mean amount of time those in the sample spent playing video games is164 minutes per day with a standard deviation of 30.2.n USE SALT(a) Calculate the point estimate for the population mean.Calculate its margin of error at 90% confidence. (Use a table or SALT. Round your answer to two decimal places.)(b) Calculate a 90% confidence interval for the true mean time (in minutes per day) spent playing video games. (Round your answers to two decimal places.)minutes per day(c) Suppose it is claimed that the mean time spent playing video games is 192 minutes per day. Which of the following sets of hypotheses should be used if the researchers want to determine if the mean time is different than claimed?O Ho: u = 192H: µ > 192Ho: u = 192H3: µ + 192Но: и < 192H3: µ > 192Ho: u = 192H: µ < 192(d) Based on the confidence interval, which of the following is the correct conclusion?O Since 192 does not lie inside the interval, we fail to reject the null hypothesis and conclude there is insufficient evidence the true mean time spent on video games is significantly different than claimed.Since 192 does lie inside the interval, we fail to reject the null hypothesis and conclude there is sufficient evidence the true mean time spent on video games is not significantly different than claimed.O Since 192 does not lie inside the interval, we reject the null hypothesis and conclude there is sufficient evidence that the true mean time spent on video games is significantly different than claimed.Since 192 does lie inside the interval, we reject the null hypothesis and conclude there is sufficient evidence the true mean time spent on video games is significantly different than claimed.

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A market researcher would like to know how much time the typical teenager spends playing video games. Suppose he does a preliminary study based upon a sample of 25 teenagers. The mean amount of time those in the sample spent playing video games is 164 minutes per day with a standard deviation of 30.2. (a) Calculate the point estimate for the population mean. Calculate its margin of error at 90% confidence. (Use a table or SALT. Round your answer to two decimal places.) (b) Calculate a 90% confidence interval for the true mean time (in minutes per day) spent playing video games. (Round your answers to two decimal places.) , minutes per day (c) Suppose it is claimed that the mean time spent playing video games is 192 minutes per day. Which of the following sets of hypotheses should be used if the researchers want to determine if the mean time is different than claimed? H0: μ = 192 Ha: μ > 192 H0: μ = 192 Ha: μ ≠ 192 H0: μ < 192 Ha: μ > 192 H0: μ = 192 Ha: μ < 192 (d) Based on the confidence interval, which of the following is the correct conclusion? Since 192 does not lie inside the interval, we fail to reject the null hypothesis and conclude there is insufficient evidence the true mean time spent on video games is significantly different than claimed.Since 192 does lie inside the interval, we fail to reject the null hypothesis and conclude there is sufficient evidence the true mean time spent on video games is not significantly different than claimed. Since 192 does not lie inside the interval, we reject the null hypothesis and conclude there is sufficient evidence that the true mean time spent on video games is significantly different than claimed.Since 192 does lie inside the interval, we reject the null hypothesis and conclude there is sufficient evidence the true mean time spent on video games is significantly different than claimed.

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

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ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 22SGR

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A market researcher would like to know how much time the typical teenager spends playing video games. Suppose he does a preliminary study based upon a sample of 25 teenagers. The mean amount of time those in the sample spent playing video games is 164 minutes per day with a standard deviation of 30.2.

(a)

Calculate the point estimate for the population mean.

Calculate its margin of error at 90% confidence. (Use a table or SALT. Round your answer to two decimal places.)

(b)

Calculate a 90% confidence interval for the true mean time (in minutes per day) spent playing video games. (Round your answers to two decimal places.)

minutes per day

(c)

Suppose it is claimed that the mean time spent playing video games is 192 minutes per day. Which of the following sets of hypotheses should be used if the researchers want to determine if the mean time is different than claimed?

H₀: μ = 192

H_a: μ > 192

H₀: μ = 192

H_a: μ ≠ 192

H₀: μ < 192

H_a: μ > 192

H₀: μ = 192

H_a: μ < 192

(d)

Based on the confidence interval, which of the following is the correct conclusion?

Since 192 does not lie inside the interval, we fail to reject the null hypothesis and conclude there is insufficient evidence the true mean time spent on video games is significantly different than claimed.Since 192 does lie inside the interval, we fail to reject the null hypothesis and conclude there is sufficient evidence the true mean time spent on video games is not significantly different than claimed. Since 192 does not lie inside the interval, we reject the null hypothesis and conclude there is sufficient evidence that the true mean time spent on video games is significantly different than claimed.Since 192 does lie inside the interval, we reject the null hypothesis and conclude there is sufficient evidence the true mean time spent on video games is significantly different than claimed.

A market researcher would like to know how much time the typical teenager spends playing video games. Suppose he does a preliminary study based upon a sample of 25 teenagers. The mean amount of time those in the sample spent playing video games is
164 minutes per day with a standard deviation of 30.2.
n USE SALT
(a) Calculate the point estimate for the population mean.
Calculate its margin of error at 90% confidence. (Use a table or SALT. Round your answer to two decimal places.)
(b) Calculate a 90% confidence interval for the true mean time (in minutes per day) spent playing video games. (Round your answers to two decimal places.)
minutes per day
(c) Suppose it is claimed that the mean time spent playing video games is 192 minutes per day. Which of the following sets of hypotheses should be used if the researchers want to determine if the mean time is different than claimed?
O Ho: u = 192
H: µ > 192
Ho: u = 192
H3: µ + 192
Но: и < 192
H3: µ > 192
Ho: u = 192
H: µ < 192
(d) Based on the confidence interval, which of the following is the correct conclusion?
O Since 192 does not lie inside the interval, we fail to reject the null hypothesis and conclude there is insufficient evidence the true mean time spent on video games is significantly different than claimed.
Since 192 does lie inside the interval, we fail to reject the null hypothesis and conclude there is sufficient evidence the true mean time spent on video games is not significantly different than claimed.
O Since 192 does not lie inside the interval, we reject the null hypothesis and conclude there is sufficient evidence that the true mean time spent on video games is significantly different than claimed.
Since 192 does lie inside the interval, we reject the null hypothesis and conclude there is sufficient evidence the true mean time spent on video games is significantly different than claimed.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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