Successful hotel managers must have personality characteristics often traditionally stereotyped as feminine (such as “compassionate”) as well as those traditionally stereotyped as masculine (such as “forceful”). The Bem Sex‑Role Inventory (BSRI) is a personality test that gives separate ratings for “female” and “male” stereotypes, both on a scale of 1 to 7 . Although the BSRI was developed at a time when these stereotypes were more pronounced, it is still widely used to assess personality types. Unfortunately, the ratings are often referred to as femininity and masculinity scores.A sample of 148 male general managers of three‑star and four‑star hotels had mean BSRI femininity score x¯=5.29 . The mean score for the general male population is μ=5.19 . Do hotel managers, on the average, differ significantly in femininity score from men in general? Assume that the standard deviation of scores in the population of all male hotel managers is the same as the σ=0.78 for the adult male population.You may find Table A helpful.(a) State the null and alternative hypotheses in terms of the mean femininity score ?μ for male hotel managers. A) H0:x¯=5.29 versus Ha:μ≠5.19 B) H0:μ=5.19 versus Ha:x¯≠5.29 C) H0:x¯=5.29 versus Ha:x¯≠5.29 D) H0:μ=5.19 versus Ha:μ≠5.19 (b) Find the z test statistic. (Enter your answer rounded to two decimal places.) z= (c) What is the P ‑value for your z ? (Enter your answer rounded to four decimal places.) P‑value= What is the appropriate conclusion about male hotel managers? A) There is weak evidence that hotel managers have the same mean femininity score than the general male population. B) There is strong evidence that hotel managers have a different mean femininity score than the general male population. C) There is strong evidence that hotel managers have the same mean femininity score than the general male population. D) There is weak evidence that hotel managers have a different mean femininity score than the general male population. TABLES697Table entryTable entry for z is the area under thestandard Normal curve to the left of z.TABLE A Standard Normal cumulative proportions (continued).00.01.02.03.04.05.06.07.08.090.0.5000.5040.5080.5120.5160.5199.5239.5279.5319.5359.5557.5948.6331.5636.60260.1.5398.5438.5478.5517.5596.5675.5714.57530.2.5793.5832.5871.5910.5987.6064.6103.61410.30.4.6406.6772.6480.6844.6179.6217.6255.6293.6368.6443.6517.6554.6591.6628.6664.6700.6736.6808.6879.6950.7054.7389.7088.7422.7123.7454.77640.5.6915.6985.7019.7157.7190.72240.6.7257.7580.7517.7823.8106.7291.7324.7357.7486.7794.8078.8340.75490.7.7611.7642.7673.7704.7734.7852.8023.82890.8.7881.7910.7939.7967.7995.8051.81330.9.8159.8186.8212.8238.8264.8315.8365.8389.8485.8708.8907.8508.8577.87901.0.8413.8438.8461.8531.8554.8599.8621.8643.8849.8749.89441.1.8665.8686.8729.8770.8810.88301.2.8869.8888.8925.8962.8980.8997.90151.3.9032.9049.9066.9082.9099.9115.9131.9147.9162.91771.4.9192.9207.9222.9236.9251.9265.9279.9292.9306.93191.5.9332.9345.9357.9370.9382.9394.9406.9418.9429.9441.9463.95641.6.9452.9474.9484.9495.9505.9515.9525.9535.95451.7.9554.9573.9582.9591.9599.9608.9616.9625.9633.9678.97441.8.9641.9649.9656.9664.9671.9686.9693.9699.97061.9.9713.9719.9726.9732.9738.9750.9756.9761.97672.0.9772.9778.9783.9788.9793.9798.9803.9808.9812.98172.1.9821.9826.9830.9834.9838.9842.9846.9850.9854.9887.9913.98572.2.9861.9864.9868.9871.9875.9878.9881.9884.98902.3.9893.9896.9898.9901.9904.9906.9909.9911.99162.4.9918.9920.9922.9925.9927.9929.9931.9932.9934.99362.5.9938.9940.9941.9943.9945.9946.9948.9949.9951.99522.6.9953.9955.9956.9957.9959.9960.9961.9962.9963.99642.7.9965.9966.9967.9968.9969.9970.9971.9972.9973.9974.9977.99832.8.9974.9975.9976.9977.9978.9979.9979.9980.99812.9.9981.9982.9982.9984.9984.9985.99859986.99863.0.9987.9987.9987.99889988.9989.9989.9989.9990.99903.1.9990.9991.9991.9991.9992.9992.9992.9992.9993.99933.2.9993.9993.9994.9994.9994.9994.9994.9996.9995.9995.99953.3.9995.9995.9995.9996.9996.9996.9996.9996.99973.4.9997.9997.9997.9997.9997.9997.9997.9997.9997.9998 696TABLESTable entry for z is the area under theTable entrystandard Normal curve to the left of z.TABLE A Standard normal cumulative proportions.00.01.02.03.04.05.06.07.08.09-3.4.0003.0003.0003.0003.0003.0003.0003.0003.0003.0002.0003.0005.0007.0005.0004.0006-3.3.0005.0005.0004.0004.0004.0004.0004-3.2.0007.0007.0006.0006.0006.0006.0005.0005-3.1.0010.0009.0009.0009.0008.0008.0008.0008.0007-3.0.0013.0013.0013.0012.0012.0011.0011.0011.0010.0010-2.9.0019.0018.0018.0017.0016.0016.0015.0015.0014.0014.0023.0032-2.8.0026.0025.0024.0023.0022.0021.0021.0020.0019-2.7.0035.0034.0033.0031.0030.0029.0028.0027.0026-2.6.0047.0045.0044.0043.0041.0040.0054.0039.0038.0037.0036-2.5.0062.0060.0059.0057.0055.0052.0051.0049.0048-2.4.0064.0084.0082.0080.0078.0075.0073.0071.0069.0068.0066-2.3.0107.0104.0102.0099.0096.0094.0091.0089.0087-2.2.0139.0136.0132.0129.0125.0122.0119.0116.0113.0110.0174.0222.0170.0217-2.1.0179.0166.0162.0158.0154.0150.0146.0143-2.0.0228.0212.0207.0202.0197.0192.0188.0183.0274.0287.0359.0281.0268.0262.0256.0250.0233.0244.0307.0384-1.9.0239.0314- 1.8- 1.7.0336.0418.0516.0329.0409.0351.0344.0322.0301.0294.0446.0436.0427.0401.0392.0375.0367.0485.0505.0618.0455.0548.0668-1.6.0537.0526.0495.0475.0465-1.5.0655.0643.0630.0606.0594.0582.0571.0559-1.4-1.3.0694.0838.0808.0793.0778.0764.0749.0735.0721.0708.0681.0968.0951.0934.0918.0901.0885.0869.0853.0823- 1.2- 1.1.1038.1230.1151.1131.1112.1093.1075.1056.1020.1003.0985.1357.1335.1314.1292.1271.1251.1210.1190.1170-1.0.1587.1562.1539.1515.1492.1469.1446.1423.1401.1379.1814.2090-0.9.1841.1788.1762.1736.1711.1685.1660.1635.1611-0.8.2119.2061.2033.2005.1977.1949.1922.1894.1867-0.7.2420.2389.2358.2327.2296.2266.2236.2206.2177.2148-0.6.2743.2709.2676.2643.2611.2578.2546.2514.2483.2451-0.530853050.3015.2981.2946.2912.2877.2843.2810.2776.3409.3783.4168-0.4.3446.3372.33363300.3264.3228.3192.3156.3121-0.3.3821.37453707.3669.3632.3594.35573520.3483.4090.4483.4880-0.2.4207.4129.4052.4013.3974.3936.3897.3859.4404.4801.4247.4641-0.1.4602.4562.4522.4443.4364.4325.4286-0.0.5000.4960.4920.4840.4761.4721.4681

Name: Successful hotel managers must have personality characteristics often
Uploaded: 2024-03-20T07:07:00.000Z
Channel: Bartleby
Description: Successful hotel managers must have personality characteristics often traditionally stereotyped as feminine (such as “compassionate”) as well as those traditionally stereotyped as masculine (such as “forceful”). The Bem Sex‑Role Inventory (BSRI) is a

Math

Statistics

Successful hotel managers must have personality characteristics often traditionally stereotyped as feminine (such as “compassionate”) as well as those traditionally stereotyped as masculine (such as “forceful”). The Bem Sex‑Role Inventory (BSRI) is a personality test that gives separate ratings for “female” and “male” stereotypes, both on a scale of 1 to 7 . Although the BSRI was developed at a time when these stereotypes were more pronounced, it is still widely used to assess personality types. Unfortunately, the ratings are often referred to as femininity and masculinity scores. A sample of 148 male general managers of three‑star and four‑star hotels had mean BSRI femininity score x¯=5.29 . The mean score for the general male population is μ=5.19 . Do hotel managers, on the average, differ significantly in femininity score from men in general? Assume that the standard deviation of scores in the population of all male hotel managers is the same as the σ=0.78 for the adult male population. You may find Table A helpful. (a) State the null and alternative hypotheses in terms of the mean femininity score ?μ for male hotel managers. A) H0:x¯=5.29 versus Ha:μ≠5.19 B) H0:μ=5.19 versus Ha:x¯≠5.29 C) H0:x¯=5.29 versus Ha:x¯≠5.29 D) H0:μ=5.19 versus Ha:μ≠5.19 (b) Find the z test statistic. (Enter your answer rounded to two decimal places.) z= (c) What is the P ‑value for your z ? (Enter your answer rounded to four decimal places.) P‑value= What is the appropriate conclusion about male hotel managers? A) There is weak evidence that hotel managers have the same mean femininity score than the general male population. B) There is strong evidence that hotel managers have a different mean femininity score than the general male population. C) There is strong evidence that hotel managers have the same mean femininity score than the general male population. D) There is weak evidence that hotel managers have a different mean femininity score than the general male population.