Question

A developmental psychologist wants to evaluate whether there is an impact of age on the number of minutes spent texting friends each day. The data below indicates the number of minutes of text service that each of 6 preteens or teens in three age groups identifies as having been used for this purpose on a particular day. Using a one way ANOVA determine if there is a significant effect of age on the cell phone calls to friends.

12 year olds
40, 55, 30,
20, 15, 35

14 year olds
90, 75, 45
60, 85, 27

16 year olds
23, 42, 25
50, 58, 36

Answer 1

A one-way ANOVA is needed to test if there's a significant effect of age on minutes spent texting. The null hypothesis states no difference in group means, and significance is typically p < 0.05.

Step-by-step explanation:

The question involves conducting a one-way ANOVA to determine if there is a significant effect of age on the number of minutes spent texting friends each day. To carry out this hypothesis test, we need to compare the means of the number of minutes spent texting across three different age groups of preteens and teens. The null hypothesis would state that there is no significant difference in the mean texting minutes across the age groups, while the alternative hypothesis would suggest that at least one group's mean is significantly different.An ANOVA test assesses for significant differences by comparing the variance within the groups to the variance between the groups. If the calculated F-ratio from the ANOVA is significant (typically p < 0.05), it would lead to the rejection of the null hypothesis and suggest that age does have a significant effect on texting behavior. To follow up on a significant ANOVA result, a post hoc test such as Tukey's HSD might be conducted to identify specific group differences.

To determine if there is a significant effect of age on the number of minutes spent texting friends each day, a one-way ANOVA can be conducted using the given data. The null hypothesis (H0) in this case would state that there is no significant difference in the mean number of minutes spent texting among the three age groups. The alternative hypothesis (Ha) would state that there is a significant difference in the mean number of minutes spent texting among the three age groups.By conducting the ANOVA, we can analyze the variability within each age group and compare it to the variability between the age groups. If the variability between the age groups is significantly larger than the variability within each age group, we can reject the null hypothesis and conclude that there is a significant effect of age on the number of minutes spent texting.