**For the binomial distribution with the given values for n and p, state whether (****Yes****or****No****) if it is suitable to use the normal distribution as an approximation.**

**n = 17 and p = 0.8**

**2 points **

**QUESTION 10**

**Use the continuity correction and describe the region of the normal curve that corresponds to the indicated binomial probability. (****Round answer to the nearest tenths****.) (****Only type in the number!****)**

**The probability of at least 40 boys**

**2 points **

**QUESTION 11**

**Find the indicated probability by using the binomial distribution formula. (****Round to 4 decimals****)**

**With n = 18 and p = 0.30. Find P(6).**

**2 points **

**QUESTION 12**

**Estimate the indicated probability by using the binomial distribution. (****Round to 4 decimals****)**

**With n = 20 and p = 0.60. estimate P(fewer than 8).**

**2 points **

**QUESTION 13**

**Find the z-score(s) for which 90% of the distribution’s area lies between -z and z. (****Round answer to the nearest thousandths and use a comma to separate answers as necessary****.) (****Do not place a space in between your answers!****)**

**2 points **

**QUESTION 14**

**Find the area under the standard normal to the right of z = 1. (****Round to 4 decimals****)**

**2 points **

**QUESTION 15**

**Find the area under the standard normal to the right of z = -1.50 and to the left of z = 2.50 (****Round to 4 decimals****)**

**2 points **

**QUESTION 16**

**Suppose that prices of a certain model of new homes are normally distributed with a mean of $150,000. Find the percentage of buyers who paid:**

**between $150,000 and $155,400 if the standard deviation is $1800. ( ****Round to 4 decimals**** )**

**2 points **

**QUESTION 17**

**A random variable x is normally distributed with****. Convert the value of x to a z-score, if the standard deviation is as given.**

**2 points **

**QUESTION 18**

**A random variable x is normally distributed with****. Convert the value of x to a z-score, if the standard deviation is as given.**

**2 points **

**QUESTION 19**

**Find the critical value****that corresponds to a 91% confidence level.**

**2 points **

**QUESTION 20**

**Find****for****.**

**2 points **

**QUESTION 21**

**Find the sample needed to estimate the percentage of Republicans among registered voters in California. Use a 0.03 margin error, use the confidence level of 90%, and assume that p-hat and q-hat are unknown.**

**2 points **

**QUESTION 22**

**Find the sample needed to estimate the percentage of Democrats who have tattoos. Use a 0.05 margin error, use the confidence level of 99%, and use results from a prior Harris poll suggesting that 15% of Democrats have tattoos.**

**2 points **

**QUESTION 23**

**Find the sample needed to estimate the percentage of adults who have consulted fortune tellers. Use a 0.03 margin error, use the confidence level of 98%, and use results from a prior Pew Research Center poll suggesting that 15% of adults have consulted fortune tellers.**

**2 points **

**QUESTION 24**

**You are the operations for American Airlines and you are considering a higher fare level for passengers in aisle seats. You want to estimate the percentage of passengers who now prefer aisle seats. How many randomly selected air passengers must you survey? Assume that you want to be 95% confident that the sample percentage is within 2.5 percentage points of the true population percentage. Assume that nothing is known about the percentage of passengers who prefer aisle seats.**

**2 points **

**QUESTION 25**

**Find the margin of error if the following confidence interval below is known. (****Round to the nearest hundredth****)**

**2 points **

**QUESTION 26**

**Find the point estimate if the following confidence interval below is known. (****Round to the nearest tenth****)**

**2 points **

**QUESTION 27**

**For the following data values below, construct a 90% confidence interval if the sample mean is known to be 0.719 and the standard deviation is 0.366. (****Round to the nearest thousandth****) (****Type your answer in using parentheses!****Use a comma when inputing your answers!****Do not type any unnecessary spaces!****List your answers in ascending order!****) for example: (0.45,0.78)**

**0.56, 0.75, 0.10, 0.95, 1.25, 0.54, 0.88**

**2 points **

**QUESTION 28**

**For the following data values below, construct a 90% confidence interval if the sample mean is known to be 0.719 and the population standard deviation is 0.366. (****Round to the nearest thousandth****) (****Type your answer in using parentheses!****Use a comma when inputing your answers!****Do not type any unnecessary spaces!****List your answers in ascending order!****) for example: (0.45,0.78)**

**0.56, 0.75, 0.10, 0.95, 1.25, 0.54, 0.88**

**2 points **

**QUESTION 29**

**For the following data values below, construct a 95% confidence interval if the sample mean is known to be 12,898 and the standard deviation is 7,719. (****Round to the nearest tenth****) (****Type your answer in using parentheses!****Use a comma when inputing your answers!****Do not type any unnecessary spaces!****List your answers in ascending order!****) for example: (0.45,0.78)**

**17,688, 0.001, 19,629, 12,408, 14,765**

**2 points **

**QUESTION 30**

**For the following data values below, construct a 98% confidence interval if the sample mean is known to be 9.808 and the population standard deviation is 5.013. (****Round to the nearest thousandth****) (****Type your answer in using parentheses!****Use a comma when inputing your answers!****Do not type any unnecessary spaces!****List your answers in ascending order!****) for example: (0.45,0.78)**

**6.6, 2.2, 18.5, 7.0, 13.7, 5.4, 5.3, 5.9, 4.7, 14.5**

**2.0, 14.8, 8.1, 18.6, 4.5, 17.7, 15.9, 15.1, 8.6, 5.2**

**15.3, 5.6, 10.0, 8.2, 8.3, 9.9, 13.7, 8.5, 8.2, 7.9**

**17.2, 6.1, 13.7, 5.7, 6.0, 17.3, 4.2, 14.7, 15.2, 3.3**

**3.2, 9.1, 8.0, 18.9, 14.2, 5.1, 5.7, 16.4, 10.1, 6.4**

**2 points **

**QUESTION 31**

**Find the p-value if the following information is given below. (****Round to 4 decimals****)**

**Test Statistic z = 2.00**

**Claim is that **

**2 points **

**QUESTION 32**

**Find the p-value if the following information is given below. (****Round to 4 decimals****)**

**Test Statistic z = -1.75**

**Claim is that **

**2 points **

**QUESTION 33**

**Find the p-value if the following information is given below. (****Round to 4 decimals****)**

**Test Statistic z = -1.23**

**Claim is that **

**2 points **

**QUESTION 34**

**Find the p-value if the following information is given below. (****Round to 4 decimals****)**

**Test Statistic z = 2.50**

**Claim is that **

**2 points **

**QUESTION 35**

**Find the p-value if the following information is given below. (****Round to 4 decimals****)**

**Test Statistic z = -3.00**

**Claim is that **

**2 points **

**QUESTION 36**

**Find the p-value if the following information is given below. (****Round to 4 decimals****)**

**Test Statistic z = 2.88**

**Claim is that **

**2 points **

**QUESTION 37**

**State the conclusion whether or not to****REJECT****or****FAIL TO REJECT****the null hypotheses.(****Check your spelling!****)**

**The original claim: The percentage of of M&Ms is greater than 5%. The hypothesis test results in a p-value of 0.0010.**

**2 points **

**QUESTION 38**

**State the conclusion whether or not to****REJECT****or****FAIL TO REJECT****the null hypotheses.(****Check your spelling!****)**

**The original claim: Women have heights with a standard deviation equal to 5.00 cm. The hypothesis test results in a p-value of 0.0055.**

**2 points **

**QUESTION 39**

**State the conclusion whether or not to****REJECT****or****FAIL TO REJECT****the null hypotheses.(****Check your spelling!****)**

**The original claim: Fewer than20% of M&Ms candies are green. The hypothesis test results in a p-value of 0.0721.**

**2 points **

**QUESTION 40**

**State the conclusion whether or not to****REJECT****or****FAIL TO REJECT****the null hypotheses.(****Check your spelling!****)**

**The original claim: Women have heights with a mean equal to 160.00 cm. The hypothesis test results in a p-value of 0.0614.**

**2 points **

**QUESTION 41**

**In a randomized controlled trial in Kenya, insecticide treated bednets were tested as a way to reduce malaria. Among 343 infants using bednets, 15 developed malaria. Among 294 infants not using bednets, 27 developed malaria. Want to use a 0.01 significance level to test the claim that the incidence of malaria is lower for infants using bednets. Find the test statistic. (****Round to the nearest hundredth****) (****ONLY TYPE IN THE NUMBER!****)**

**2 points **

**QUESTION 42**

**In a randomized controlled trial in Kenya, insecticide treated bednets were tested as a way to reduce malaria. Among 343 infants using bednets, 15 developed malaria. Among 294 infants not using bednets, 27 developed malaria. Want to test the claim that the incidence of malaria is lower for infants using bednets. Construct a 99% confidence interval. (****Round to the nearest thousandth when necessary****) (****Type your answer in using parentheses!****Use a comma when inputing your answers!****Do not type any unnecessary spaces!****List your answers in ascending order!****) for example: (0.45,0.78)**

**2 points **

**QUESTION 43**

**Find the correlation coefficient r for the given table below. (****Round to the nearest thousandth****) (****ONLY TYPE IN THE NUMBER!****)**

x |
10 |
8 |
13 |
9 |
11 |
14 |
6 |
4 |
12 |
7 |
5 |

y |
9.14 |
8.14 |
8.74 |
8.77 |
9.26 |
8.10 |
6.13 |
3.10 |
9.13 |
7.26 |
4.74 |

**2 points **

**QUESTION 44**

**Find the regression equation for the given table below. (****Round to the nearest hundredth****) (****TYPE THE ACTUAL REGRESSION EQUATION!****) (****DO NOT TYPE ANY UNNECESSARY SPACES!****) for example:****y=7.85+0.088x**

x |
10 |
8 |
13 |
9 |
11 |
14 |
6 |
4 |
12 |
7 |
5 |

y |
9.14 |
8.14 |
8.74 |
8.77 |
9.26 |
8.10 |
6.13 |
3.10 |
9.13 |
7.26 |
4.74 |

**2 points **

**QUESTION 45**

**Find the regression equation for the given table below. (****Round to the nearest hundredth****) (****TYPE THE ACTUAL REGRESSION EQUATION!****) (****DO NOT TYPE ANY UNNECESSARY SPACES!****) for example:****y=7.85+0.088x**

Altitude |
3 |
10 |
14 |
22 |
28 |
31 |
33 |

Temperature |
57 |
37 |
24 |
-5 |
-30 |
-41 |
-54 |

**2 points **

**QUESTION 46**

**Find the correlation coefficient r for the given table below. (****Round to the nearest thousandth****) (****ONLY TYPE IN THE NUMBER!****)**

x |
10 |
8 |
13 |
9 |
11 |
14 |
6 |
4 |
12 |
7 |
5 |

y |
7.46 |
6.77 |
12.74 |
7.11 |
7.81 |
8.84 |
6.08 |
5.39 |
8.15 |
6.42 |
5.73 |

**2 points **

**QUESTION 47**

**Find the correlation coefficient r for the given table below and use it to determine if there is a****Strong Negative****or****Strong Positive****or****Weak Negative****or****Weak Positive****correlation. (****Check your spelling!****)**

x |
230 |
265 |
358 |
480 |
530 |

y |
15.9 |
15.7 |
15.4 |
15.3 |
14.9 |

**2 points **

**QUESTION 48**

**Find the correlation coefficient r for the given table below and use it to determine if there is a****Strong Negative****or****Strong Positive****or****Weak Negative****or****Weak Positive****correlation. (****Check your spelling!****)**

PSAT |
183 |
207 |
167 |
206 |
197 |
142 |
193 |
176 |

SAT |
2200 |
2040 |
1890 |
2380 |
12290 |
2070 |
2370 |
1980 |

**2 points **

**QUESTION 49**

**Find the correlation coefficient r for the given table below and use it to determine if there is a****Strong Negative****or****Strong Positive****or****Weak Negative****or****Weak Positive****correlation. (****Check your spelling!****)**

Court Income |
65 |
404 |
1567 |
1131 |
272 |
252 |
111 |
154 |
32 |

Justice Salary |
30 |
44 |
92 |
56 |
46 |
61 |
25 |
26 |
18 |

**2 points **

**QUESTION 50**

**Find the correlation coefficient r for the given table below and use it to determine if there is a****Strong Negative****or****Strong Positive****or****Weak Negative****or****Weak Positive****correlation. (****Check your spelling!****)**

Redshift |
0.0233 |
0.0539 |
0.0718 |
0.0395 |
0.0438 |
0.0103 |

Distance |
0.32 |
0.75 |
1.00 |
0.55 |
0.61 |
0.14 |

**2 points **

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