An annual championship event is the most widely watched sporting event in a country each year. In recent years, there has been a great deal of interest in the ads that appear during the game. These ads vary in length with most lasting 30 seconds or 60 seconds. The accompanying data represent the ad length and ad scores from a recent championship. Complete parts (a) through (c). Assuming that the population variances from the 30-second ads and the 60-second ads are equal, is there evidence of a difference in the mean score between the two types of ads? Use α=0.05.
An annual championship event is the most widely watched sporting event in a country each year. In recent years, there has been a great deal of interest in the ads that appear during the game. These ads vary in length with most lasting 30 seconds or 60 seconds. The accompanying data represent the ad length and ad scores from a recent championship. Complete parts (a) through (c). Assuming that the population variances from the 30-second ads and the 60-second ads are equal, is there evidence of a difference in the mean score between the two types of ads? Use α=0.05.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 23SGR
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An annual championship event is the most widely watched sporting event in a country each year. In recent years, there has been a great deal of interest in the ads that appear during the game. These ads vary in length with most lasting 30 seconds or 60 seconds. The accompanying data represent the ad length and ad scores from a recent championship. Complete parts (a) through (c).
Assuming that the population variances from the 30-second ads and the 60-second ads are equal, is there evidence of a difference in the mean score between the two types of ads? Use
α=0.05.
Let μ1 be the mean score for the 30-second ads and μ2 be the mean score for the 60-second ads. Determine the hypotheses. Choose the correct answer below.
A. H0: μ1≠μ2
H1: μ1=μ2
H1: μ1≠μ2
H1: μ1<μ2
H1: μ1>μ2
tSTAT=___
Choose the correct conclusion below.
___A___ H0. There is __B___ evidence that the mean scores differ.
A: Do not reject or reject
B: insufficient or sufficient
p-value=____
Assuming that the population variances from both types of ads are equal, construct, and interpret a 95% confidence interval estimate of the difference between the population means the score of the two types of ads.
The confidence interval is __ ≤μ1−μ2≤ __.
(Type an integer or decimal rounded to two decimal places as needed.)
Interpret the confidence interval. Choose the correct answer below.
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