The heights of 2000 students are normally distributed with a mean of 167.5 centimeters and a standard deviation of 7.8 centimeters. Assuming that the heights are recorded to the nearest half-centimeter, how many of these students would be expected to have heights (a) less than 153.0 centimeters? (b) between 163.5 and 176.0 centimeters inclusive? (c) equal to 170.0 centimeters? (d) l to 188 0 centimeter?
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- Find P(Z>-2.46) .00 .01 02 .03 .04 Los .06 .07 L08 .09 0.0 0.1 .0000 .0040 .0438 .0080 .0120 .0160 .0199 .0239 .0398 .0478 .0279 .о319 .0359 .0517 .0557 .0596 0636 .0675 1064 0.2 .0793 .0832 .0871 .0714 .0753 .0910 .1293 .0948 .0987 1026 0.3 .1179 1217 .1255 .1103 .1141 .1331 .1368 .1406 1443 .1480 0.4 1554 .1591 .1628 1664 .1700 .1517 0.5 .1915 .1736 1772 1808 .1844 1879 .1950 .1985 .2019 .2054 2088 .2123 0.6 2257 2291 .2324 2157 2190 .2224 .2357 .2389 2422 .2454 .2486 0.7 .2580 2611 .2642 .2517 .2549 .2673 .2704 .2734 .2764 .2794 2823 0.8 .2881 2910 .2939 2967 .2852 .2995 .3023 .3051 .3078 .3106 .3133 0.9 .3159 3186 .3212 .3238 .3264 .3289 3315 3340 3365 3389 1.0 .3413 .3438 .3461 .3485 .3508 .3531 3554 .3577 .3599 .3621 1.1 .3643 3665 .3686 3708 .3729 .3749 .3770 .3790 .3810 .3830 1.2 3849 .3869 .3888 .3907 .3925 3944 .3962 .3980 .3997 .4015 1.3 4032 4049 .4066 .4082 4099 4115 4131 .4147 .4162 .4177 1.4 4192 .4207 .4222 .4236 .4251 .4265 4279 .4292 .4306 .4319 1.5 4332 4345 .4357…Evaluate the probability when n = 9 and p = 0.1. (Round your answer to three decimal places.) P(xs 1) n USE SALT You may need to use the appropriate appendix table to answer this question.6. Batman drove from McDonald's to Wendy's on his new riding lawnmower. His average speed was 5 miles per hour. Use the mean value theorem to explain why, at some point in time, his actual speed (instantaneous velocity) was 5 miles per hour.
- The following table shows the daily receipts in millions of dollars of the movie "Avatar" for successive Fridays after its opening on Friday 18 December 2009. Weeks SReceipts 3 50.306 31.28 6. 6. 16.24 12 6.526 15 0.98 18 0.92 21 0.335 0.076 27 0.044 Estimate the instantaneous rate of change of daily receipts 9 weeks after the opening day. Nnlo 147The following table shows the daily receipts in millions of dollars of the movie "The Hunger Games" after its opening on 23 March 2012. Days $Receipts 0 152.535 14 33.111 28 14.666 42 5.587 56 2.95 70 1.567 84 0.852 98 0.397 112 0.279 126 0.518 Estimate the instantaneous rate of change of the daily receipts on day 70.The following table shows the daily receipts in millions of dollars of the movie "The Hunger Games" after its opening on 23 March 2012. Days $Receipts 14 33.111 28 14.666 42 5.587 56 2.95 70 1.567 84 0.852 98 0.397 112 0.279 126 0.518 Find the average rate of change of the daily receipts from day 56 to day 84.
- 0.7200.7400.6400.3900.7002.2001.9800.6401.2200.2001.6401.3402.9500.9001.7601.0101.2600.0000.6501.4601.6201.8300.9901.5600.4101.2800.8301.3200.5401.2500.9201.0000.7800.7901.4401.0002.2402.5001.7901.2501.4900.8401.4201.0001.2501.4201.3500.9300.4001.390 The accompanying data table lists the magnitudes of 50 earthquakes measured on the Richter scale. Test the claim that the population of earthquakes has a mean magnitude greater than 1.00. Use a 0.01significance level. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and conclusion for the test. Assume this is a simple random sample the sample data is above. What are the hypotheses? A. H0: μ=1.00 in magnitude H1: μ≠1.00 in magnitude B. H0: μ=1.00 in magnitude H1: μ<1.00 in magnitude C. H0: μ=1.00 in magnitude H1: μ>1.00 in magnitude D. H0: μ≠1.00 in magnitude H1: μ=1.00 in magnitude Identify the test statistic. t= (Round to two decimal places as…1. t=1.00000 2. t=0.50000 3. t=0.25000 4. t=0.10000 5. t=0.01000The following table shows the daily receipts in millions of dollars of the movie "Avatar" for successive Fridays after its opening on Friday 18 December 2009. Weeks $Receipts 0 77.025 3 50.306 6 31.28 9 16.24 12 6.526 15 0.98 18 0.92 21 0.335 24 0.076 27 0.044 Estimate the instantaneous rate of change of daily receipts 9 weeks after the opening day.
- The following table shows the daily receipts in millions of dollars of the movie "Avatar" for successive Fridays after its opening on Friday 18 December 2009. Weeks $Receipts 77.025 3 50.306 6. 31.28 16.24 12 6.526 15 0.98 18 0.92 21 0.335 24 0.076 27 0.044 Estimate the instantaneous rate of change of daily receipts 21 weeks after the opening day. Round to four decimal places.Find out the next month after april income by using the forecasting method of the moving average methodThe following table shows the daily receipts in millions of dollars of the movie "Avatar" for successive Fridays after its opening on Friday 18 December 2009. Weeks $Receipts 2 68.49 4 42.785 6 31.28 23.611 13.655 6.526 2.047 0.844 0.92 0.425 0.188 0.076 0.045 28 0.028 Estimate the instantaneous rate of change of daily receipts 6 weeks after the opening day. BONHEUNNHE 8 10 12 14 16 18 20 22 24 26