Question

1. A student wonders if people from small towns are friendlier than the general population. To...

1.

A student wonders if people from small towns are friendlier than the general population. To test this hypothesis he gives 100 people a friendliness survey. The population mean for this survey is 50 with a standard deviation of 12. The mean for his sample is 52.5. Compute a z for a sample mean to determine if his hypothesis was supported. Use α = .05, one-tailed. What are the one-tailed null and research hypotheses for this study?

a.

H0: µ = 50, H1: µ ≠ 50

b.

H0: µ < 50, H1: µ ≥ 50

c.

H0: µ ≤ 50, H1: µ > 50

d.

H0: µ = 50, H1: µ >50

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Given that, population mean = 50 and population standard deviation = 12

sample size = 100 and sample mean = 52.5

The one-tailed null and research hypotheses for this study are,

H0 : μ = 50

H1 : μ > 50

Answer : d)

Add a comment
Know the answer?
Add Answer to:
1. A student wonders if people from small towns are friendlier than the general population. To...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Previous study showed that the average expenditure per student for a certain year was $10,000 with...

    Previous study showed that the average expenditure per student for a certain year was $10,000 with population standard deviation of $2,500.  Thomas argues that the average expenditure has changed (i.e. the average expenditure is NOT equal to $10,000).  He finds that a survey of 100 randomly selected University students resulted in a sample mean of $10,500.  Using this sample statistics, John tries to test his argument with α = .05. Which is correct null hypothesis? Group of answer choices H0: µ = 10,500...

  • USA Today reported that the population mean life span of people who live in Hawaii is...

    USA Today reported that the population mean life span of people who live in Hawaii is 77 years. A random sample of 20 obituary notices gave a sample mean life span of ?̅= 71.4 years and a sample standard deviation s = 20.65 years. Assuming that the life span of people in Hawaii is normally distributed, does this indicate that the population mean life span is less than 77 years? Use a 5% level of significance. a.) What is α?...

  • Test the claim that the mean GPA of night students is significantly different than 3 at...

    Test the claim that the mean GPA of night students is significantly different than 3 at the 0.1 significance level. The null and alternative hypothesis would be: a. H0:μ≤3H0:μ≤3 H1:μ>3H1:μ>3 b. H0:μ=3H0:μ=3 H1:μ≠3H1:μ≠3 c. H0:p≤0.75H0:p≤0.75 H1:p>0.75H1:p>0.75 d. H0:μ≥3H0:μ≥3 H1:μ<3H1:μ<3 e. H0:p≥0.75H0:p≥0.75 H1:p<0.75H1:p<0.75 f. H0:p=0.75H0:p=0.75 H1:p≠0.75H1:p≠0.75 The test is: two-tailed right-tailed left-tailed Based on a sample of 40 people, the sample mean GPA was 3.01 with a standard deviation of 0.05 The test statistic is:  (to 2 decimals) The p-value is:  (to 2...

  • A sample of 14 from an approximately normal population is used to test H0: µ =...

    A sample of 14 from an approximately normal population is used to test H0: µ = 5 versus H1:  µ > 5.  If the p-value of this test is 0.0329, which of the following is the correct decision and conclusion at the α = 0.05 level? a)Reject the null hypothesis concluding that there is no evidence the true mean is larger than 5. b)Do not reject the null hypothesis concluding that there is evidence the true mean is larger than 5. c)Reject...

  • Test the claim that the proportion of people who own cats is smaller than 50% at...

    Test the claim that the proportion of people who own cats is smaller than 50% at the 0.05 significance level. The null and alternative hypothesis would be: H0:p=0.5H0:p=0.5 H1:p≠0.5H1:p≠0.5 H0:μ=0.5H0:μ=0.5 H1:μ≠0.5H1:μ≠0.5 H0:p≤0.5H0:p≤0.5 H1:p>0.5H1:p>0.5 H0:μ≤0.5H0:μ≤0.5 H1:μ>0.5H1:μ>0.5 H0:μ≥0.5H0:μ≥0.5 H1:μ<0.5H1:μ<0.5 H0:p≥0.5H0:p≥0.5 H1:p<0.5H1:p<0.5 The test is: two-tailed right-tailed left-tailed Based on a sample of 800 people, 44% owned cats The p-value is: (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis

  • Complete the problem below on conducting one sample t-test using the steps in hypothesis testing. A...

    Complete the problem below on conducting one sample t-test using the steps in hypothesis testing. A researcher in interested in whether students who are musicians have higher intelligence test scores than students in the general population. The mean for the general population is 100. The researcher selects 30 musicians from local high schools and gives them an intelligence test, with a mean of 105. SS = 725 for the sample. m = _______ M = _________ n = _______ s2...

  • Test the claim that the mean GPA of night students is larger than 2.6 at the...

    Test the claim that the mean GPA of night students is larger than 2.6 at the .10 significance level. The null and alternative hypothesis would be: H0:p=0.65H0:p=0.65 H1:p<0.65H1:p<0.65 H0:p=0.65H0:p=0.65 H1:p>0.65H1:p>0.65 H0:μ=2.6H0:μ=2.6 H1:μ<2.6H1:μ<2.6 H0:μ=2.6H0:μ=2.6 H1:μ>2.6H1:μ>2.6 H0:μ=2.6H0:μ=2.6 H1:μ≠2.6H1:μ≠2.6 H0:p=0.65H0:p=0.65 H1:p≠0.65H1:p≠0.65 The test is: left-tailed right-tailed two-tailed Based on a sample of 50 people, the sample mean GPA was 2.61 with a standard deviation of 0.02 The test statistic is:  (to 2 decimals) The critical value is:  (to 2 decimals) Based on this we: Reject...

  • 1. Test the claim that the mean GPA of night students is significantly different than 2.4...

    1. Test the claim that the mean GPA of night students is significantly different than 2.4 at the 0.2 significance level. The null and alternative hypothesis would be: a) H0:μ=2.4 H1:μ>2.4 b) H0:μ=2.4 H1:μ<2.4 c) H0:p=0.6 H1:p<0.6 d) H0:p=0.6 H1:p>0.6 e) H0:p=0.6 H1:p≠0.6 f) H0:μ=2.4 H1:μ≠2.4 2. The test is: a) left-tailed b) right-tailed c) two-tailed 3. Based on a sample of 35 people, the sample mean GPA was 2.44 with a standard deviation of 0.04 The test statistic is:...

  • #1: Food scientists and nutritionists at the Sale Mart Supermarket chain want to estimate the true...

    #1: Food scientists and nutritionists at the Sale Mart Supermarket chain want to estimate the true mean cholesterol content in their house brand blocks of Colby Jack cheese. Industry standards indicate that the population standard deviation is 2.5 mg. Determine the minimum sample size necessary to estimate to within 0.5 mg of the true population mean and with 95% confidence. (a) 95 (b) 96 (c) 97 (d) 98    (e) None of these answers #2: Food scientists and nutritionists at...

  • A random sample of n - 16 scores is selecdted from a normal population with a...

    A random sample of n - 16 scores is selecdted from a normal population with a mean of p - 50. After atreatment is administered to the individuals in the sample, the sample mean is found to be M -54 If the population standard deviation is σ-8, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with α-.05. (Hint: Recall that the critical value for a two-tailed test with α-.05 is...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT