# Valley Swim Club

In:

Submitted By collegestudent44
Words 747
Pages 3
Day 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47

Number 139 273 172 275 337 402 487 198 310 347 393 421 595 497 341 291 380 367 359 463 578 287 247 356 322 419 516 478 303 223 315 258 193 378 461 242 177 245 390 284 417 474 194 207 215 304 331

Weekend? n n n n n y y n n n n n y y n n n n n y y n n n n n y y n n n n n y y n n n n n y y n n n n n

>500 n n n n n n n n n n n n y n n n n n n n y n n n n n y n n n n n n n n n n n n n n n n n n n n

a) Sample propor1on is 4/92 Using a 90% conﬁdence interval: p +/-­‐ z * sqrt [p(1 -­‐ p)/n] 0.0435 +/-­‐ 1.645 * sqrt [( 0.0435 * 0.9565)/92] 0.0435 +/-­‐ 1.645 * sqrt [0.00045204] 0.0435 +/-­‐ 0.03497 (0.0085, 0.0784)

The upper conﬁdence interval is 0.0784 Assuming the same number of days in the summer, that's 0.0784 *

Therefore we can't be at least 90% sure that the number of days m Result: test failed b) I used a 90% conﬁdence interval for means. Cri1cal value of z at 90% is 1.645 xbar +/-­‐ z(σ/√n) 314.1 +/-­‐ 1.645(102.6/√92) 314.1 +/-­‐ 1.645(10.696789) 314.1 +/-­‐ 17.6 (296.5, 331.7)

The conﬁdence interval includes the value of interest, 320 Therefore, we can't be at least 90% sure that the average daily a]e Result: test failed

3 I used a 90% conﬁdence interval for means The cri1cal value of t at 90% conﬁdence and 25

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