A cereal company claims that the mean weight of the cereal in its packets is at least 14 oz. Express the null hypothesis and the alternative hypothesis in symbolic form for a test to reject this claim. O A. Ho: H> 14 H1 us 14 O B. Ho: H< 14 O C. Ho: H= 14 H1: H> 14 na O D. Ho H= 14 H1 µ< 14
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- Consider the following null and alternative hypotheses for testing whether the average GPA of university students is different than 3.2. H0:u = 3.2 Ha:u not= 3.2 In this case, the consequence of Type I error is... a. assuming university students have a GPA equal to 3.2, when in fact it is not equal to 3.2. b. assuming university students have a lower GPA than 3.2, when in fact it is equal to 3.2. c. assuming university students have a higher GPA than 3.2, when in fact it is equal to 3.2. d. assuming university students have a GPA not equal to 3.2, when in fact it is equal to 3.2.1. A cereal company claims that the mean weight of cereal in its packets is more than 14 ounces. Which is the correct set of hypotheses? H0: mu > 14 H1: mu = 14 H0: mu < 14 H1: mu = 14 H0: mu = 14 H1: mu < 14 H0: mu = 14 H1: mu > 14 Correct answer is not given 2. Find the critical value of z for a hypothesis test if αα = 0.025 for a right tail test. 2.575 1.645 2.33 1.28 correct answer is not givenWhich of the following statements is true if when using null hypothesis testing, our p value (in the "sig" column of SPSS output) is 0.051? Reject the null hypothesis Fail to reject the null hypothesis Reject the alternative hypothesis Fail to reject the alternative hypothesis
- A company specializes in producing bunkers located in places with extremely cold climates under 0°C. A prototype for a new bunker design using different structure design and materials was tested to have the following average interior temperatures: 23.01, 22.22, 22.04, 22.62, and 22.59. Test that the average interior temperature is equal to 22.5 °C using α = 0.05. a.What are the hypothesis statements?Which of the following statements is true if when using null hypothesis testing, our p value (in the "sig" column of SPSS output) is 0.069? a) Reject the null hypothesis b) Fail to reject the null hypothesis c) Reject the alternative hypothesis d) Fail to reject the alternative hypothesisWhen the alternative hypothesis lies on their sides of the value specified by Ho, it is called a.T-test b.F-test c.One-tailed test d. Two-tailed test
- The manufacturer of a certain engine treatment claims that if you add their product to your engine, it will be protected from excessive wear. An infomercial claims that a woman drove 3 hours without oil, thanks to the engine treatment. A magazine tested engines in which they added the treatment to the motor oil, ran the engines, drained the oil, and then determined the time until the engines seized. Complete parts (a) and (b) below. (a) Determine the null and alternative hypotheses that the magazine will test. UpperH0: ▼ muμ sigmaσ pp ▼ not equals≠ less than< greater than> equals= 3 Upper H1: ▼ muμ sigmaσ pp ▼ not equals≠ equals= less than< greater than> 3 (b) Both engines took exactly 17 minutes to seize. What conclusion might the magazine make based on this evidence? A. The infomercial's claim is true. The Informericial not trueFollowing is the data related to the daily production of the two factories of same product located in two different states. Factory Daily Production Factory 1 66 66 73 83 74 73 73 69 82 71 73 66 67 80 79 78 Factory 2 66 63 71 65 65 67 57 48 71 73 68 58 62 81 60 62 72 72 57 77 68 Write the null and alternative hypothesis for comparing the production of two factories. Calculate the critical values “ttab”, and tcal Write the conclusion for the null hypothesis of part “d”After asking a sample of her students for their opinion of her class, the statistics professor calculates the test statistic z = 2.69 for the hypothesis test H: p = 0.80 H: p > 0.80, where p is the proportion of all students in the class who enjoyed the class. Which of the following is true? a The P-value is .9964 and conclude that more than 80% of the students enjoyed her class. b The P-value is .0036 and conclude that more than 80% of the students enjoyed her class. c The P-value is .9964 and conclude that less than 80% of the students enjoyed her class. d The P-value is .0036 and conclude that less than 80% of the students enjoyed her class.
- Suppose that you performed the following hypothesis test: H subscript O colon space p subscript 1 equals 0.4 semicolon space p subscript 2 equals 0.25 semicolon space p subscript 3 equals space 0.35H subscript A colon space NOT thin space H subscript O and that you got a Test Statistic (TS) that. yielded a PValue (PV) = 0.045. If you ran this hypothesis test with a value of alpha = 0.05, which of the following choices gives the correct Decision and Conclusion? A. Since the PV is less than alpha, I Fail to Reject the Null hypothesis and conclude that at least two of the population proportions are significantly different from their null-hypothesized values. B. Since the PV is less than alpha, I Reject the Null hypothesis and conclude that the population proportions are NOT significantly different from their null-hypothesized values. C. Since the PV is less than alpha, I Reject the Null hypothesis and conclude that at least two of the population proportions are significantly different…State whether each hypothesis is null or alternative. 1. Students using i brand A ballpens write better than those using brand B balipens. 2. There is no s gnificant difference between the average consumption of gasoline in carA and the average consurption of gasoline in car B. 3. The proportion of senior high school graduates in a certain school is 10% of the entire population. 4. The average iricome of families per month in a certain town is 38,000 pesos. 5. The proportion of husbands using motorcycles in region 2 is more than 50%. 6. The proportion of patients with lung cancer is higher among smokers than among nonsmokers. 7. The proportion of senior high school students who enrolled in HUMSS strand is not equal to 80%. 8. An airline claims that less than 12% of its entire lost luggage is never found. 9. The proportion of COVID 19 patients who have asymptomatic cases is less than 25%. 10. The propcrtion of students who will use distance learning in the entire population is more than…Which of the following is an example of a null hypothesis? a. The thickness of aluminum sheets averages is not .03 inches, as required. b. The average quantity of detergent put into a box by this filling machine is not 1 pound and this shipping company's average delivery time is different from 3 days. c. This industrial process makes windshields with an average length of 33 inches. d. This shipping company's average delivery time is different from 3 days. e. The average quantity of detergent put into a box by this filling machine is not 1 pound.