[Solved] MATH399N Week 7 Assignment: Developing Hypothesis and Understanding Possible Conclusions for Mean

Question

Identify the type of hypothesis test below.

H0:X=10.2, Ha:X>10.2

Question

Which of the hypothesis tests listed below is a left-tailed test? Select all correct answers.

Question

Olivia, a golfer, claims that her drive distance is more than 174 meters, on average. Several of her friends do not believe her, so she decides to do a hypothesis test, at a 10% significance level, to persuade them. She hits 15 drives. The mean distance of the sample drives is 188 meters. Olivia knows from experience that the standard deviation for her drive distance is 14 meters.

  • H0: μ=174; Ha: μ>174
  • α=0.1 (significance level)

What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places?

Question

A city wants to show that the mean number of public transportation users per day is more than 5,575. Identify the null hypothesis, H0, and the alternative hypothesis, Ha, in terms of the parameter μ.

Question

Which of the following results in a null hypothesis p=0.44 and alternative hypothesis p<0.44?

Question

Determine the Type I error if the null hypothesis, H0, is: the percentage of homes in the city that are not up to the current electric codes is no more than 10%.

And, the alternative hypothesis, Ha, is: the percentage of homes in the city that are not up to the current electric codes is more than 10%.

Question

Jolyn, a golfer, claims that her drive distance is not equal to 222 meters, on average. Several of her friends do not believe her, so she decides to do a hypothesis test, at a 5% significance level, to persuade them. She hits 11 drives. The mean distance of the sample drives is 218 meters. Jolyn knows from experience that the standard deviation for her drive distance is 14 meters.

  • H0: μ=222; Ha: μ≠222
  • α=0.05 (significance level)

What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places?

Question

Suppose the null hypothesis, H0, is at least 70% of customers, who shop at a particular sporting good store, do not shop at any other sporting goods stores.

And the alternative hypothesis, Ha, is less than 70% of customers, who shop at a particular sporting good store, do not shop at any other sporting goods stores.

What is the Type I error in this scenario?

Question

Which of the following results in a null hypothesis p=0.69 and alternative hypothesis p>0.69?

Question

A mechanic wants to show that more than 44% of car owners do not follow a normal maintenance schedule. Identify the null hypothesis, H0, and the alternative hypothesis, Ha, in terms of the parameter p.

Question

Lexie, a bowler, claims that her bowling score is more than 140 points, on average. Several of her teammates do not believe her, so she decides to do a hypothesis test, at a 5% significance level, to persuade them. She bowls 18 games. The mean score of the sample games is 155 points. Lexie knows from experience that the standard deviation for her bowling score is 17 points.

  • H0: μ=140; Ha: μ>140
  • α=0.05 (significance level)

What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places?

Question

Floretta, a pitcher, claims that her pitch speed is less than 46 miles per hour, on average. Several of her teammates do not believe her, so she decides to do a hypothesis test, at a 5% significance level, to persuade them. She throws 24 pitches. The mean speed of the sample pitches is 37 miles per hour. Floretta knows from experience that the standard deviation for her pitch speed is 5 miles per hour.

  • H0: μ=46; Ha: μ<46
  • α=0.05 (significance level)

What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places?

Question

Suppose the null hypothesis, H0, is: no more than 70% of customers at a sporting goods store do not shop at any other sporting goods stores.

And the alternative hypothesis, Ha, is: the sporting goods store claims more than 70% of its customers do not shop at any other sporting goods stores.

What is β, the probability of a Type II error in this scenario?

Question

Which graph below corresponds to the following hypothesis test?

H0:p=8.1, Ha:p>8.1

Question

Is the test below left-, right-, or two-tailed?

H0:p=0.39, Ha:p≠0.39

Question

Suppose the null hypothesis, H0, is: a surgical procedure is successful at least 80% of the time. What is the Type I error in this scenario?

Question

Determine the Type I error if the null hypothesis, H0, is: 65% of college students will graduate with debt.

And, the alternative hypothesis, Ha, is: that researchers claim more than 65% of college students will graduate with debt.

 

 

Solution

Question

Identify the type of hypothesis test below.

H0:X=10.2, Ha:X>10.2

Ans: The hypothesis test is right-tailed.

Question

Which of the hypothesis tests listed below is a left-tailed test? Select all correct answers.

Ans:

H0:μ=18, Ha:μ<18

H0:μ=11.3, Ha:μ<11.3……………..please follow the link below to purchase the solution at $10