Find the difference between the mean heights, the t-statistic, and the p-value associated with the hypothesis test. (Round your answers to four decimal places.) difference between mean heights | inches t = p =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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A company is interested to know if the mean heights between the two towns are different. What is the hypothesis test to be done?
O Ho: HA = 0.5
HAi H3 = 0.5
O Ho: H = 0.5
HA: H > 0.5
O Ho: HA
HA: HA = MB
O Ho: HA = HB
A
O Hoi HA= HB
HA: HA < HB
O (b)
Which town, on average, had the taller children?
town A
town B
O not enough information given
O (c)
Find the difference between the mean heights, the t-statistic, and the p-value associated with the hypothesis test. (Round your answers to
four decimal places.)
difference between mean heights
inches
t =
p =
O (d)
At a 95% confidence level, should the null hypothesis be rejected? Fill in the blanks.
v rejected. The mean heights of the children in the town -Select-- v statistically different at the
The null hypothesis -Select---
--Select-- v % confidence level.
Transcribed Image Text:A company is interested to know if the mean heights between the two towns are different. What is the hypothesis test to be done? O Ho: HA = 0.5 HAi H3 = 0.5 O Ho: H = 0.5 HA: H > 0.5 O Ho: HA HA: HA = MB O Ho: HA = HB A O Hoi HA= HB HA: HA < HB O (b) Which town, on average, had the taller children? town A town B O not enough information given O (c) Find the difference between the mean heights, the t-statistic, and the p-value associated with the hypothesis test. (Round your answers to four decimal places.) difference between mean heights inches t = p = O (d) At a 95% confidence level, should the null hypothesis be rejected? Fill in the blanks. v rejected. The mean heights of the children in the town -Select-- v statistically different at the The null hypothesis -Select--- --Select-- v % confidence level.
For two independent towns, A and B, the heights (in inches) of forty 6-year-old children (twenty from each town) is recorded. The variance of
heights in each town is considered equal.
O JMP Applet
mp
?
Oneway Analysis of Height By Town
48-
48-
44
42-
38-
36
34
Town
Test of mean heights
t Test
B-A
Assuming equal variances
Difference
-1.1500 t Ratio
-1.74972
Std Err Dif
0.6572 DF
38
Upper CL Dif 0.1805 Prob > t|
Lower CL Dif -2.4805 Prob >t
Confidence
0.0882
0.9559
0.95 Prob <t
0.0441*
0.0 os 1.0 1.5 2.0
-2.0
-1.0
Std Error uses a pooled estimate of error variance
Height
Transcribed Image Text:For two independent towns, A and B, the heights (in inches) of forty 6-year-old children (twenty from each town) is recorded. The variance of heights in each town is considered equal. O JMP Applet mp ? Oneway Analysis of Height By Town 48- 48- 44 42- 38- 36 34 Town Test of mean heights t Test B-A Assuming equal variances Difference -1.1500 t Ratio -1.74972 Std Err Dif 0.6572 DF 38 Upper CL Dif 0.1805 Prob > t| Lower CL Dif -2.4805 Prob >t Confidence 0.0882 0.9559 0.95 Prob <t 0.0441* 0.0 os 1.0 1.5 2.0 -2.0 -1.0 Std Error uses a pooled estimate of error variance Height
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