Employees in the marketing department of a large regional restaurant chain are researching the amount of money that households in the region spend in restaurants per year. The employees are looking at how the amount spent annually in restaurants by households led by people ages 25 to 34 compares to households led by people ages 45 to 54. To conduct the research, the employees randomly select 100 households in the region led by people ages 25 to 34 and 100 households in the region led by people ages 45 to 54. Each household is asked how much was spent in restaurants during the previous 12 months. The amounts spent for each household, in dollars, are provided in the samples below. One household in each group spent $1,924 in restaurants during the previous 12 months. Use Excel to calculate the z-score for the data value that represents the household that spent $1,924 in restaurants for each group. Round your answers to two decimal places. Provide your answer below: 25 to 34 45 to 54 1458 2186 1548 1705 1533 2221 1258 1676 1203 2099 1323 1826 1880 2423 1563 2236 1924 1692 1838 1890 1359 1671 1630 2314 1606 2267 1520 2446 1741 2217 1547 2367 1283 1948 1527 1652 1655 1926 1378 2330 1630 1686 1350 2443 1373 1998 1318 2244 1827 2373 1737 1891 1815 1909 1394 1898 1376 2351 1712 2405 1639 2094 1412 1694 1383 2406 1848 1929 1330 1841 1924 1848 1245 1913 1727 1954 1324 2144 1389 1882 1806 2370 1731 1865 1587 1974 1331 1668 1646 1878 1830 1957 1559 2343 1349 2423 1401 2212 1569 2138 1282 2145 1345 2157 1234 1915 1736 1654 1296 1652 1740 1904 1587 2020 1838 1684 1225 2390 1537 2250 1636 2338 1297 2062 1911 1865 1645 2332 1338 1675 1227 1908 1715 2383 1377 2292 1286 2299 1630 2221 1462 1945 1375 2161 1438 2377 1508 1890 1722 1978 1350 1698 1752 2147 1340 2167 1354 2046 1733 2013 1880 2348 1719 2114 1349 1668 1719 2020 1350 2219 1873 2240 1534 1634 1802 2401 1653 1933 1741 2035 1260 2433 1350 2069 1485 2003 1553 1956 1590 1924 1363 1675 1407 2071 1548 1892 1783 2149 1719 1995     The $z$ -score for the household led by people ages 25 to 34 is and the $z$ -score for the household led by people ages 45 to 54 is

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Employees in the marketing department of a large regional restaurant chain are researching the amount of money that households in the region spend in restaurants per year. The employees are looking at how the amount spent annually in restaurants by households led by people ages 25 to 34 compares to households led by people ages 45 to 54. To conduct the research, the employees randomly select 100 households in the region led by people ages 25 to 34 and 100 households in the region led by people ages 45 to 54. Each household is asked how much was spent in restaurants during the previous 12 months. The amounts spent for each household, in dollars, are provided in the samples below. One household in each group spent $1,924 in restaurants during the previous 12 months. Use Excel to calculate the z-score for the data value that represents the household that spent $1,924 in restaurants for each group. Round your answers to two decimal places. Provide your answer below:

25 to 34 45 to 54
1458 2186
1548 1705
1533 2221
1258 1676
1203 2099
1323 1826
1880 2423
1563 2236
1924 1692
1838 1890
1359 1671
1630 2314
1606 2267
1520 2446
1741 2217
1547 2367
1283 1948
1527 1652
1655 1926
1378 2330
1630 1686
1350 2443
1373 1998
1318 2244
1827 2373
1737 1891
1815 1909
1394 1898
1376 2351
1712 2405
1639 2094
1412 1694
1383 2406
1848 1929
1330 1841
1924 1848
1245 1913
1727 1954
1324 2144
1389 1882
1806 2370
1731 1865
1587 1974
1331 1668
1646 1878
1830 1957
1559 2343
1349 2423
1401 2212
1569 2138
1282 2145
1345 2157
1234 1915
1736 1654
1296 1652
1740 1904
1587 2020
1838 1684
1225 2390
1537 2250
1636 2338
1297 2062
1911 1865
1645 2332
1338 1675
1227 1908
1715 2383
1377 2292
1286 2299
1630 2221
1462 1945
1375 2161
1438 2377
1508 1890
1722 1978
1350 1698
1752 2147
1340 2167
1354 2046
1733 2013
1880 2348
1719 2114
1349 1668
1719 2020
1350 2219
1873 2240
1534 1634
1802 2401
1653 1933
1741 2035
1260 2433
1350 2069
1485 2003
1553 1956
1590 1924
1363 1675
1407 2071
1548 1892
1783 2149
1719 1995

 

 

The $z$ -score for the household led by people ages 25 to 34 is and the $z$ -score for the household led by people ages 45 to 54 is  

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based on the z scores would a 25 to 34 household or a 45 to 54 household be more likely to spend $1,924

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