Data from the Office for National Statistics show that the mean age at which men in Great Britain get married was 34.0. A news reporter noted that this represents a continuation of the trend of waiting until a later age to wed. A new sample of 47 recently wed British men provided their age at the time of marriage. These data are contained in the Excel Online file below. Construct a spreadsheet to answer the following questions.
Added by Brianna R.
Step 1
First, we need to calculate the mean and standard deviation of the sample data. Let's assume the ages are in column A of the spreadsheet. In cell B1, we can calculate the mean using the formula: =AVERAGE(A1:A47) Show more…
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Marriage In 1960, census results indicated that the age at which American men first married had a mean of 23.3 years. It is widely suspected that young people today are waiting longer to get married. We want to find out if the mean age of first marriage has increased during the past 40 years. a) Write appropriate hypotheses. b) We plan to test our hypothesis by selecting a random sample of 40 men who married for the first time last year. Do you think the necessary assumptions for inference are satisfied? Explain. c) Describe the approximate sampling distribution model for the mean age in such samples. d) The men in our sample married at an average age of 24.2 years, with a standard deviation of 5.3 years. What’s the P-value for this result? e) Explain (in context) what this P-value means. f) What’s your conclusion?
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Refer to the table. The table gives the average ages (in years) for U.S. women and men married for the first time for selected years. $$\begin{array}{l|l|c} & \text { Men } & \text { Women } \\ \hline 1940 & 24.3 & 21.5 \\ \hline 1960 & 22.8 & 20.3 \\ \hline 1980 & 24.7 & 22.0 \\ \hline 2000 & 26.8 & 25.1 \\ \hline \end{array}$$ By how much has the average age for men increased between 1940 and $2000 ?$
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Refer to the table. The table gives the average ages (in years) for U.S. women and men married for the first time for selected years. $$\begin{array}{l|l|c} & \text { Men } & \text { Women } \\ \hline 1940 & 24.3 & 21.5 \\ \hline 1960 & 22.8 & 20.3 \\ \hline 1980 & 24.7 & 22.0 \\ \hline 2000 & 26.8 & 25.1 \\ \hline \end{array}$$ What is the difference between the men's and women's average age at first marriage in $1940 ?$
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